The total possible points in the course is approximately 470.
HOW CAN WE SOLVE AN EQUATION?Let's assume that the total possible points in the course is "x".
Since you needed 90% of the course total for an A, that means you needed to earn 90% of "x" to get an A. This is equivalent to 0.90x.
You missed an A by only 8 points, so your actual earned points must be 90% of "x" minus 8. This can be expressed as 0.90x - 8.
Given that your actual earned points for the course is 415, we can set up an equation:
0.90x - 8 = 415
Now, we can solve for "x" to determine the total possible points in the course:
0.90x = 415 + 8
0.90x = 423
x = 423 / 0.90
x ≈ 470
So, the total possible points in the course is approximately 470.
To know more about equation visit,
https://brainly.com/question/29538993
#SPJ1
If $c$ is a constant such that $9x^2+10x+c$ is equal to the square of a binomial, then what is $c$?
c=25/9 for the given condition of the bionomial.
We can solve this problem by using the technique of completing the square.
First, let's assume that [tex]9x^2 + 10x + c[/tex] is equal to the square of a binomial:
[tex](3x + b)^2 = 9x^2 + 6bx + b^2[/tex]
If we compare the above expression with [tex]9x^2 + 10x + c[/tex], we can see that:
6bx = 10x, which implies that b = 5/3
b^2 = c, which implies that [tex]c = (5/3)^2 = 25/9[/tex]
Therefore, c = 25/9 is the constant that satisfies the condition
[tex]9x^2 + 10x + c[/tex] is equal to the square of a binomial.
Learn more about Quadratic equations here:
https://brainly.com/question/22364785
#SPJ1
NO LINKS!! URGENT HELP PLEASE!!!
Express the statement as an inequality part 7a^2
The statement, "t is not less than 7" as an inequality is E. t ≥ 7.
The statement, " the negative of z is not greater than 8" is A. - z ≤ 8 .
How to represent as inequalities ?The statement "t is not less than 7" means that t can be equal to 7 or greater than 7, so we can write this as:
t ≥ 7
Therefore, the correct inequality for the statement is t ≥ 7.
Similarly, the statement "the negative of z is not greater than 8" means that the opposite of z, which is -z, can be equal to -8 or less than -8, so we can write this as:
-z ≤ 8
Multiplying both sides of the inequality by -1 gives:
z ≥ -8
Therefore, the correct inequality for the statement is z ≥ -8.
Find out more on inequalities at https://brainly.com/question/29950857
#SPJ1
Answer:
e) The correct option is: t≥7
The phrase "t is not less than 7" means that t can be equal to 7 or any value greater than 7, but it cannot be less than 7. Therefore, we use the greater than or equal to a symbol (≥) to represent this statement.
here's an explanation of each option:
t = 7: This statement indicates that the value of t is exactly 7. If this statement is true, then t cannot be greater than or less than 7.t > 7: This statement indicates that the value of t is greater than 7. If this statement is true, then t can be any value that is greater than 7.t < 7: This statement indicates that the value of t is less than 7. If this statement is true, then t can be any value that is less than 7.t ≤ 7: This statement indicates that the value of t cannot be greater than 7, but it can be less than or equal to 7. If this statement is true, then t can be 7 or any value less than 7.t ≥ 7: This statement indicates that the value of t cannot be less than 7, but it can be greater than or equal to 7. If this statement is true, then t can be 7 or any value greater than 7.To express the statement t≥7 as an inequality in terms of 7a^2, we can simply multiply both sides by 7a^2, like this:t * 7a^2 ≥ 7 * 7a^2
Simplifying the right-hand side of the inequality, we get:49a^2
Therefore, the inequality in terms of 7a^2 is:t * 7a^2 ≥ 49a^2
Note that this inequality is equivalent to t ≥ 7, which is what we started with.
f) The correct option is:-z ≤ 8
The phrase "the negative of z is not greater than 8" means that -z cannot be greater than 8. In other words, -z is less than or equal to 8. To express this as an inequality, we use the less than or equal symbol (≤) and write "-z ≤ 8".
here's an explanation of each option:
Note that only the first option (-z ≤ 8) accurately represents the original statement "The negative of z is not greater than 8". The other options either represent a different statement or contradict the original statement.
The statement "the negative of z is not greater than 8" can be expressed as an inequality in terms of 7a^2 as follows:
-z ≤ 8
Since we cannot multiply or divide by a negative number when we are working with inequalities, we will multiply both sides of the inequality by -1. Remember that whenever we multiply or divide both sides of an inequality by a negative number, we must reverse the direction of the inequality symbol. So, we have:z ≥ -8
Multiplying both sides by 7a^2, we get:7a^2 * z ≥ -8 * 7a^2
Simplifying the right-hand side, we get:-56a^2
Therefore, the inequality in terms of 7a^2 is:7a^2 * z ≥ -56a^2
So, the statement "the negative of z is not greater than 8" can be expressed as the inequality 7a^2 * z ≥ -56a^2.
Every month, Ms. Hughes pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car each month. At the end of the year, her savings account balance changed by -$2,940 from payments made on her car loan.
What is the change in Ms. Hughes’s savings account balance each month due to her car payment? Show your work and/or explain your reasoning.
What is the total change in Ms. Hughes’s savings account balance after making six monthly payments on her car loan? Show your work and/or explain your reasoning.
After making six monthly payments on her car loan, Ms. Hughes's savings account balance will decrease by $1,470.
To find the change in Ms. Hughes's savings account balance each month due to her car payment, we can divide the total change in balance for the year ($-2,940) by the number of months in a year (12):
Change in savings account balance each month = $2,940 / 12 = -$245
So, Ms. Hughes's savings account balance decreases by $245 each month due to her car payment.
To find the total change in Ms. Hughes's savings account balance after making six monthly payments on her car loan, we can multiply the change in savings account balance each month by the number of months (6):
Total change in savings account balance after six monthly payments = -$245 * 6 = -$1,470
To learn more about account here:
https://brainly.com/question/27423887
#SPJ1
trish is breaking ground for a rose garden inher backyard. the garden will be a square with a side length of 7 meters. what will be the area of the rose garden?
Answer:
the area is 49m² this because for area you have to mutiple
Step-by-step explanation:
7×7=49
Find the values of a and b such that
x²-x+ 5 = (x-a)² + b
Please, the person that explains it explain it with the part of
(x+b/2)^2 - (b/2)^2 + c
-because if not I won’t understand :)
x2−1x5=(x−a)2+b2−15=(−)2+
help my compters dieing
its at 3 percent HELP PLEASE
Answer: The first number is the X-axis and the second is the Y-axis.
Step-by-step explanation:
5, 1, 4, and 2 belong in X. 35, 7, 28, and 14 belong in Y.
The rule is that X always goes first the Y goes after.
You paid $6.99 for a shirt that was 70% off; what was the original price of the shirt?
Answer:
$23.30
Step-by-step explanation:
We Know
You paid $6.99
The shirt was 70% off
$6.99 = 30%
What was the original price of the shirt?
We Take
(6.99 ÷ 30) x 100 = $23.30
So, the original price is $23.30
What is the measure of angle XYZ
The calculated measure of the arc XYZ is 83 degrees
Calculating the measures of the angle XYZFrom the question, we have the following parameters that can be used in our computation:
The circle
The angles created by secants and tangents that intersect outside a circle, which states that
The size of the angle formed by these two lines is equivalent to half the numerical difference between the measures of the arcs that they cut out from the circle.
So, we have
XYY = 1/2 * (166 - 0)
Evaluate
XYY = 83
Hence, the measure of the angle is 83 degrees
Read more about angles at
https://brainly.com/question/25215131
#SPJ1
The probability that a certain science teacher trips over the cords in her classroom during any independent period of the day is 0.35. On average, how many periods do students need to wait until this science teacher trips over the cords in her classroom?
0.2275
0.35
2.86
3.5
Not enough information to answer this question
Answer:2.86.
Step-by-step explanation:
We can use the geometric distribution to solve this problem. The geometric distribution models the number of trials needed to achieve the first success in a sequence of independent trials with a constant probability of success.In this case, the probability of success (the teacher tripping over the cords) is 0.35. Therefore, the expected value or mean of the geometric distribution is 1/0.35 ≈ 2.86.So, on average, students need to wait for 2.86 periods until the teacher trips over the cords in her classroom.Therefore, the answer is 2.86.
- Xavier earns a 15% commission on each
washing machine he sells. Last week he sold
four $450 machines. How much did he earn?
Based on the question, Xavier earned a commission of $270 on the last week.
What is the commission?Commissions is known to be a form of variable-pay remuneration that is said to be made for services given or products sold.
Note that from the question, Xavier earns a 15% commission on all washing machine he sells, so he sold four $450 machines last week.
So, the he total sale of the four machines is:
4 x $450 = $1,800
Since Xavier's commission is 15% of $1,800, it will be calculated as :
Commission = 15% x $1,800
= 0.15 x $1,800
= $270
Hence, Xavier earned a commission of $270 last week.
Learn more about commission from
https://brainly.com/question/26283663
#SPJ1
57% chance child is born with disease, a woman has 3 kids what is the probability all 3 get the disease?
The probability that all 3 children will be born with the disease is approximately 0.195 or 19.5%.
We have,
Assuming that the probability of a child being born with the disease is independent of whether or not their siblings are born with the disease, we can use the multiplication rule of probability:
P(all 3 children have the disease)
= P(first child has the disease) x P(second child has the disease) x P(third child has the disease)
Since each child has a 57% chance of being born with the disease:
P(all 3 children have the disease)
= 0.57 x 0.57 x 0.57
Now,
P(all 3 children have the disease)
= 0.195
Therefore,
The probability that all 3 children will be born with the disease is approximately 0.195 or 19.5%.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ1
Calculate the length of HG. *
10
9
8
6
5
4
3
N
M
H
3
I
5
square root 15
square root 50
square root 8
square root 51
G
9 10
Using the Pythagorean theorem, we can find the length of HG:
HG² = HI² + IG²
Therefore, the length of HG is 5sqrt(3) units.
What is pythagorean theorem?The Pythagorean Theorem is a mathematical formula that states in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
What is Length?Length is a measurement of the extent of something along its longest dimension, from one end to the other. It is often expressed in units such as meters, feet, or inches.
According to the given information:
To calculate the length of HG, we can use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of its two legs.
First, we can identify that triangle HGN is a right triangle, with HG being the hypotenuse. Using the Pythagorean theorem, we have:
(HG)² = (NG)² + (NH)²
We can also identify that triangle INH is also a right triangle, with IN being the hypotenuse. Using the Pythagorean theorem, we have:
(IN)² = (NH)² + (NI)²
Substituting (NH)^2 from the second equation into the first equation, we get:
(HG)² = (NG)² + (IN)² - (NI)²
Plugging in the values given in the diagram, we get:
(HG)² = 5² + 9² - 3²
(HG)² = 61
HG = √61
Therefore, the length of HG is the square root of 61.
To know more about pythagorean theorem, length visit:
https://brainly.com/question/29262908
#SPJ1
you are painting a mural of colored equilateral triangles. The radius of each triangle is 12.7 inches. What is the area of each triangle to the nearest square inch?
The area of each triangle to the nearest square inch is approximately 95 square inches.
What is triangle?A triangle is a 2-dimensional geometric shape that consists of three straight sides and three angles. It is one of the basic shapes in geometry, and it is widely used in various fields such as mathematics, engineering, architecture, and art.
According to given information:To find the area of an equilateral triangle with a radius of 12.7 inches, we can use the formula:
Area = [tex](\sqrt{(3)/4})[/tex] x [tex](side)^2[/tex]
where side is the length of one of the sides of the equilateral triangle.
We know that the radius of the equilateral triangle is 12.7 inches, which means that the distance from the center of the triangle to one of the corners (i.e., the length of one of the sides) is also 12.7 inches. To find the length of the side, we can use the formula for the height of an equilateral triangle:
and solve for side:
side = Height / ([tex]\sqrt{(3)/2[/tex]) = (2 x Height) / [tex]\sqrt{(3)[/tex]
Plugging in the value of the radius, we have:
side = (2 x 12.7 inches) / [tex]\sqrt{(3)[/tex] ≈ 14.67 inches
Now we can use the formula for the area of an equilateral triangle:
Area = ([tex]\sqrt{(3)/4}[/tex]) x [tex](side)^2[/tex]
Plugging in the value of the side, we have:
Area = ([tex]\sqrt{(3)/4[/tex]) x [tex](14.67 inches)^2[/tex] ≈ 94.71 square inches
Therefore, the area of each triangle to the nearest square inch is approximately 95 square inches.
To know more about triangle visit:
https://brainly.com/question/1058720
#SPJ1
You are trying to determine if a router you’re thinking of purchasing will give off a strong enough wifi signal to cover the area in your house. The router you have selected will cover an area of 850 ft^2.
The wi-fi router shall not be strong enough to cover the area of the house.
How to determine whether a wi-fi router can cover a given area
According to the statement, we must determine if a wi-fi router can cover all the area of a house, described by a rectangle. The area formula of rectangle is introduced below:
A = b · h
Where:
A - Area, in square feet.b - Base, in feet.h - Height, in feet.Now we proceed to determine the area of the house:
A = (50 ft) · (50 ft)
A = 2500 ft²
The wi-fi router shall not cover the entire area of the house.
To learn more on areas of rectangles: https://brainly.com/question/15218510
#SPJ1
calling EXPERTS! Please help with these 3 questions! Please show full solutions AND ALL CALCULATIONS!!! THANK YOU! QUESTIONS ATTACHED BELOW!
Answer:
2. 139π/90 radians ≈ 4.852
3. -(9√5 +8√7)/77
4. 2+√3
Step-by-step explanation:
You want exact answers involving various trig identities and angle sum formulas.
2. RadiansThere are π radians in 180°, the number of radians in 278° is ...
278°(π/180°) = (278/180)π
278° = (139/90)π radians ≈ 4.852 radians
3. CosineThe cosine of the sum of angles is ...
cos(x +y) = cos(x)cos(y) -sin(x)sin(y)
The relationship between sine and cosine is ...
cos(x) = ±√(1 -sin(x)²)
sin(x) = ±√(1 -cos(x)²)
The signs will depend on the quadrant of the angle.
To use the angle sum relation, we need the sine of the angle whose cosine is given, and vice versa.
sin(arccos(-2/7)) = -√(1 -(-2/7)²) = -(√45)/7 = (-3/7)√5 . . . . in QIII
cos(arcsin(-3/11)) = √(1 -(-3/11)²) = (√112)/11 = (4/11)√7 . . . . in QIV
The cosine of the sum of the angles is then ...
cos(arccos(-2/7) +arcsin(-3/11)) = (-2/7)(4√7/11) -(-3√5)/7·(-3/11)
= -8√7/77 -9√5/77
cos(x +y) = -(9√5 +8√7)/77
4. TangentThe formula for the tangent of the sum of angles is ...
tan(x +y) = (tan(x) +tan(y))/(1 -tan(x)tan(y))
We know that tan(π/4) = 1 and tan(π/6) = 1/√3, so the tangent of the sum of the angles is ...
tan(π/4 +π/6) = (1 +1/√3)/(1 -(1·1/√3)) = (√3 +1)/(√3 -1) = (√3 +1)²/2
tan(π/4 +π/6) = 2 +√3
__
Additional comment
A suitable calculator can be very handy computing and/or checking your results.
2) 278° to Radians = 4.85202
3) the exact value of cos (x+ y) is -0.0914
4) the exact value of the expression is 3.73
How is this so ?The formula ofr conversion from degree to radian is
2) 278° × π/180 = 4.852rad
3) in the above given expressions, Sin(x) is negative.
Using Pythagorean rule, we can state:
sin(x ) = √(1 - cos^2(x)) =
√(1 - (-2/7)²)
= -3√(3)/7
Also,
given that cos( y) is positive, we c n also use the Pythagorean idetity
cos (y) = √(1 - sin ²(y) )
= √(1 - (-3/1 1)²)
= 8√(2)/11
substituting into cos (x + y)
cos(x+y) = cos( x)cos (y ) - sin (x) sin(y)
= (-2/7)( 8 √(2)/11) - (-3√(3)/7) ( -3/11)
= -1 6 √(2) /77 + 9√( 3)/ 77
= -0.09141506142
The exact value is approximately -0.0914
3)
Using the formula for tangent of sum of angles we say
tan( ( π/4) + (π/6) ) = (tan ( π / 4) + tan (π/6))/(1 - tan ( π/4) tan( π/6))
Sutstituting ....
tan (( π/4) + ( π/6) ) = (1 + √ 3/3)/( 1 - √ 3 /3 )
tan( (π/ 4) + (π /6 )) = (1 + √3/ 3) (1 + √3/3 )]/ [(1 - √3/ 3)(1 + √3/3)]
Simplifying
tan ( (π /4) + ( π/6) ) = ( 2 + √3 )/ ( 2 - √ 3)
This is the exact value of tan((π/4) + (π/6)) or 3.73
Learn more about radians:
https://brainly.com/question/7721249
#SPJ1
Joan has a square flower bed with a side length of 4 meters filled with tulips. There are a total of 354 tulips in the bed.
Find the density of tulips for the area of the bed. Round to the nearest tenth if necessary.
If Joan has a square flower bed with a side length of 4 meters filled with tulips, the density of tulips in the bed is 22.1 tulips per square meter.
To find the density of tulips for the area of the bed, we need to divide the total number of tulips by the area of the bed. The area of the square flower bed is the side length squared, so in this case, it is 4 meters x 4 meters = 16 square meters.
So, the density of tulips in the bed is 354/16 ≈ 22.1 tulips per square meter. This means that there are approximately 22.1 tulips growing in every square meter of the flower bed.
The density is a measure of the amount of something per unit of space, so in this case, it is the number of tulips per square meter. It is a useful metric for understanding how many of something is present in a given area, which can be important for planning and management purposes.
To learn more about density click on,
https://brainly.com/question/29775886
#SPJ1
La suma de 3 números es 70 el segundo número es el doble del primero y el tercero es el doble del segundo
The three numbers are 10, 20, and 40.'
How to solveLet's assign variables to each number:
Let x be the first number.Let y be the second number, which is twice the first number (y = 2x).Let z be the third number, which is twice the second number (z = 2y).According to the problem, the sum of these three numbers is 70:
x + y + z = 70
Now, we can substitute the expressions for y and z in terms of x:
x + 2x + 2(2x) = 70
Combine the terms:
x + 2x + 4x = 70
7x = 70
Now, divide by 7 to find the value of x:
x = 70 / 7
x = 10
Now that we have the value of x, we can find the values of y and z:
y = 2x = 2(10) = 20
z = 2y = 2(20) = 40
So, the three numbers are 10, 20, and 40.
Read more about word problems here:
https://brainly.com/question/21405634
#SPJ1
The question in English is
The sum of 3 numbers is 70, the second number is twice the first and the third is twice the second.
Which graph represents the question?
The graph of the piecewise function can be seen in the image attached below where (x+2)² terminates at x = -1, |x - 1| between the interval of x = -1 to x = 1, and [tex]-\sqrt[3]{x}[/tex] from +x-axis to infinity [tex]\infty[/tex]
What is the graph of a piecewise function?A piecewise function is a type of function that has different expressions or formulas for different parts or intervals of its domain. This means that the formula that defines the function changes depending on which part of the domain we are looking at.
Now, to graph the piecewise function, we need to start by identifying the different intervals on which the function is defined and the corresponding expressions that define the function on each interval.
If we have a piecewise function f(x) defined as:
f(x) = (x+2)² for x < -1 is a parabolic function that terminates at x = -1f(x) = |x - 1| for -1 ≤ x ≤ 1, the interval between (-1, 1)f(x) = [tex]-\sqrt[3]{x}[/tex] for x > 1, this includes the values of x for which x > 1 to infinity.The graph of the piecewise function can be seen in the image attached below.
Learn more about graphing piecewise function here:
https://brainly.com/question/30348444
#SPJ1
The angle times three out of 10 of the circle what is the measure of the angle
The measure of the angle that turns through 3/10 of the circle is 108 degrees.
Define angleAn angle is a geometric figure that is formed by two rays that share a common endpoint, which is called the vertex of the angle. The rays are referred to as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees.
Angles can be classified based on their degree of measurement: acute angles are less than 90 degrees, right angles are exactly 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, and straight angles are exactly 180 degrees.
Since a full circle has 360 degrees, 3/10 of the circle can be represented as:
(3/10) x 360 degrees = 108 degrees
Therefore, the measure of the angle that turns through 3/10 of the circle is 108 degrees.
To know more about circle, visit:
https://brainly.com/question/29142813
#SPJ1
The complete question is :
The angle turns through 3/10 of the circle. What is the measure of the angle?
y’all which one is it cus ion kno
PLEASE HELP ON QUESTION!(if answer and explanation is correct I'll rate you five stars a thanks and maybe even brainly. Also your very smart!)
What is value of x in this equation:
4x+15=33-2x
Answer: Simplifying
4x + 15 = 33 + -2x
Reorder the terms:
15 + 4x = 33 + -2x
Solving
15 + 4x = 33 + -2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x' to each side of the equation.
15 + 4x + 2x = 33 + -2x + 2x
Combine like terms: 4x + 2x = 6x
15 + 6x = 33 + -2x + 2x
Combine like terms: -2x + 2x = 0
15 + 6x = 33 + 0
15 + 6x = 33
Add '-15' to each side of the equation.
15 + -15 + 6x = 33 + -15
Combine like terms: 15 + -15 = 0
0 + 6x = 33 + -15
6x = 33 + -15
Combine like terms: 33 + -15 = 18
6x = 18Divide each side by '6'.
x = 3
Simplifying
x = 3
so X=3 is your answer
The circumference of a circle is 20 cm. What is the
area, in square centimeters? Express your answer in terms
of TT.
The circumference of a circle whose area is 20π cm² in terms of pi is 8.94π centimeters.
What is the circumference of the circle?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The area of a circle is expressed mathematically as;
[tex]\text{A} = \pi \text{r}^2[/tex]
The circumference of a circle is expressed mathematically as;
[tex]\text{C} = 2\pi \text{r}[/tex]
Given that the area of the circle is 20π cm², we determine the radius of the circle.
[tex]\text{A} = \pi \text{r}^2[/tex]
[tex]20\pi \ \text{cm}^2 = \pi \times \text{r}^2[/tex]
[tex]\text{r}^2= \dfrac{ 20\pi \ \text{cm}^2}{\pi }[/tex]
[tex]\text{r}^2 = 20 \ \text{cm}^2[/tex]
[tex]\text{r} = \sqrt{20 \ \text{cm}^2}[/tex]
[tex]\text{r} = 4.47 \ \text{cm}[/tex]
Now, we determine the circumference of the circle.
[tex]\text{C} = 2\pi \text{r}[/tex]
[tex]\text{C} = 2 \times \pi \times 4.47 \ \text{cm}[/tex]
[tex]\text{C} = 8.94 \ \text{cm}\times\pi[/tex]
[tex]\text{C} = 8.94\pi[/tex]
Therefore, the circumference of the circle is 8.94π centimeters.
Learn more about circles here: brainly.com/question/11952845
USE STRUCTURE The graph of a quadratic function has a vertex (2, 0). One point on the graph is (S. 9). Explain how to find another
point on the graph.
. It can be found by graphing the points given and sketching the parabola
Another point on the graph is (-1,
that passes through them. You can move over and up from the vertex and do the same on the opposite side of the line x=
It can be found by graphing the points given and sketching the parabola. Another point on the graph is (-1, 9) that passes through them. You can move over and up from the vertex and do the same on the opposite side of the line x = -1.
How to determine the other points for the given quadratic equation?In Mathematics and Geometry, the vertex form of a quadratic function is represented by the following mathematical equation:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided, the vertex is located at point (2, 0), and this ultimately implies that the axis is represented by the vertical line x = 2 that passes through the vertex.
Additionally, the parabola would be bilaterally symmetric about the above axis, and the mirror image of the point (5, 9) would also be on this parabola.
Therefore, the mirror image would have the same y-coordinate of 9 while the x-coordinate is given by:
x = 2 - (5 -2)
x = -1.
In conclusion, the required point is (-1, 9).
Read more on vertex here: brainly.com/question/14946018
#SPJ1
Complete Question:
The graph of a quadratic function has a vertex (2, 0). One point on the graph is (5, 9). Explain how to find another point on the graph. It can be found by graphing the points given and sketching the parabola. Another point on the graph is (-1, _) that passes through them. You can move over and up from the vertex and do the same on the opposite side of the line x=
Can you write equation in conic form?
The equation x = 1/16y² - 1/8y + 17/16 in conic form is (y - 1)² = 16(x - 1)
Writing the equation in conic form?From the question, we have the following parameters that can be used in our computation:
x = 1/16y² - 1/8y + 17/16
Multply through the equation by 16
S, we have
16x = y² - 2y + 17
Rewrite as
16x - 17 = y² - 2y
Add the square of half the coefficient of y to both sides
So, we have
16x - 17 + 1 = y² - 2y + 1
Evaluate and express as perfect squares
16x - 16 = (y - 1)²
Factor out 16
16(x - 1) = (y - 1)²
Rewrite as
(y - 1)² = 16(x - 1)
The above equation is an equation of a parabola whose inverse has been calculated
Hence, the conic equation is (y - 1)² = 16(x - 1)
Read more about parabola at
https://brainly.com/question/4061870
#SPJ1
5000 people attend a match 50 people win a T-shirt whats the probability of winning a T-shirt
equivalent equation for (4x • 7)(5x • 9)
Another equivalent equation to the equation (4x • 7)(5x • 9) is 28x(45x) respectively.
What are Equivalent equations?Equivalent equations in algebra are those that have equivalent roots or solutions.
In order to produce an equivalent equation, the same quantity or expression must be added to or subtracted from both sides of the original equation.
If you multiply or divide an equation's two sides by the same non-zero number, the results are identical.
If x4=2x+7, we can add 4 to both sides to get the following equation, which is equivalent: x4+4=2x+7+4.
So, we have the equation:
(4x • 7)(5x • 9)
Then, another equation that will be equivalent to the given equation can be:
(4x • 7)(5x • 9)
(28x)(45x )
Then,
28x(45x)
So,
(4x • 7)(5x • 9) = 28x(45x)
Therefore, another equivalent equation to the equation (4x • 7)(5x • 9) is 28x(45x) respectively.
Know more about Equivalent equations here:
https://brainly.com/question/2972832
#SPJ1
Determine if the segment lengths form a triangle. if so, would the triangle be acute, right, or obtuse
4.1, 8.2, 12.2
A.No, they do not form a triangle
Answer: D
Step-by-step explanation:
what is 3/8 divided by 3
Answer:0.125
Step-by-step explanation:
Use the following scenario. Five surf shops sell the same pair of flip-flops for the following set of prices: {$17.00, $15.50, $15.00, $18.00, $15.00}.
Select all the correct measures of center and variation for the data set.
a. Range = 4
b. IQR = 2.50
c. Median = 15.50
d. Third quartile = 17.50
e. Mean = 15.80
Answer: b, c, d,
have an amazing day/night and go crush that homework!! you are loved
brainliest??
Write the equation for a parabola with a focus at (-8,-1) and a directrix at y=-4
Answer:
y=(x+8)^2/6 - 5/2
Step-by-step explanation:
Khan Academy