Therefore , the solution of the given problem of quadratic equation comes out to be the vertex could be above or below the x-axis, but the important point is that the graph does not cross the x-axis.
What is a quadratic equation?Regression modelling uses the polynomials conclusion x = ax2 + b + c=0 for one-variable equations. The First Theorem on Algebra claims that as this cubic has a second derivative, there is only one solution. There are simple and complex solutions available. The term "quadratic solution" refers to a set of four variables. This implies that there may only be one squared word.
Here,
A quadratic function that has no real zeros has its vertex above or below the x-axis, but not crossing it. Therefore, the graph should not intersect the x-axis. Here is an example of such a graph:
|
|
|
|
|
|
__________|__________
The vertex could be above or below the x-axis, but the important point is that the graph does not cross the x-axis.
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Use the diagram to complete the statements.
The angle of depression from point R to point S is angle
.
The angle of elevation from point S to point R is angle
.
Angle 2 is the angle of elevation from
.
Angle 1 is the angle of
.
The angle of depression from point R to point S is ∠1.
The angle of elevation from point S to point R is ∠2.
∠2 is the angle of elevation from S to R.
∠1 is the angle of depression from point R to point S.
What is an angle of elevation?
The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.
There is an angle of elevation from point R to S. Thus point R is lie above S.
The angle of depression from point R to point S is ∠1.
The angle of elevation from point S to point R is ∠2.
∠2 is the angle of elevation from S to R.
∠1 is the angle of depression from point R to point S.
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does anyone know how to do this i’m stuck
Answer:
yes I know but how should I show u dude
Answer: look at the image for the answer and explanation
Step-by-step explanation:
On a math test a student, has to identify all the coefficients and constants of the expression 5y+b+4. Jake says that 5
The value of the 5y coefficient is 5 and The constant is 4 in the formula 4.
What is polynomials?
Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. The terms Poly and Nominal, which together signify "many" and "terms," make up the word polynomial. When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The expression is categorized as a monomial, binomial, or trinomial based on the number of terms it contains.
5y+b+4
You can decompose the equation 5y+b+4 into the terms 5y, b, and 4.
Coefficients are a type of numerical element that multiply a variable. The term 5y is used to multiply the variable y, so the coefficient is 5. That 5 is a coefficient, as Jake claims, is therefore true.
Constants are numbers with no variables. As 4 contains only a constant and no variables, the answer is 4. Hence, 4 is a constant.
Hence The value of the 5y coefficient is 5 and The constant is 4 in the formula 4.
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Question 1-6 performance matters
Compare the number of squares with the number of triangles.
DDDDDΔΔΔΔΔΔΔΔ
If the ratio of squares to triangles remains the same, how many squares will there be when there are 24 triangles?
15 squares will there be when there are 24 triangles to maintain the ratio.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
We have 5 squares and 8 Triangles.
let the number of square be x when there is 24 triangles.
using Proportion
5/8 = x / 24
8x = 120
x = 15
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What is derivative of e 2x ?
The derivative of e²ˣ is 2e²ˣ.
A derivative of any function is the rate of change that will be made on the function if its independent variable changes by a small amount.
Now a function can also have another function in it. Then if we need to find the derivative of that function we need to use the chain rule. This states that for any variable x, if there is a function
f(g(x)) then derivative of f(g(x) will be f'(g(x))⋅g'(x)
this means that we need to first hold the function in it constant and then multiply the function's derivative with respect to x.
Here f(g(x)) = e²ˣ where g(x) is 2x
Now we will first hold 2x as one variable. We know that d/x of eˣ is eˣ
Hence we get
e²ˣ
Now we will differentiate 2x. The derivative of 2x is 2
Hence we get the derivative as
2e²ˣ
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Find the prime factors of 44 using the factor tree method
A=11x2x3
B=11x2x2
C=5x2x1
D=11x3
Answer:
B=11x2x2
Step-by-step explanation:
Prime factors of 44
44 ÷ 2 = 22
22 ÷ 2 = 11
11 ÷ 11 = 1
Prime factorization of 44 : 11 x 2 x 2
Factorization Tree
44
/ \
2 22
/ \
2 11
which group purchases roughly 85% of all valentine’s day cards?
The group which purchases roughly 85% of all valentine’s day cards is women.
What is meant by valentine’s day?The annual celebration of Valentine's Day, also called Saint Valentine's Day or the Feast of Saint Valentine, takes place on February 14 every year. It was observed as a Christian holiday in memory of Valentine, a martyr. In various parts of the world, it has developed into a huge cultural and a celebration of romance and love thanks to later folk traditions.
Valentine's Day is commemorated on February 14 by a many of martyrdom tales, including one about Saint Valentine of Rome's captivity in the third century for helping Christians who were persecuted by the Romanion Empire;
We are given that;
The group percentage which purchases valentine’s day cards=85%
Now,
Women tend to buy approximately 85% of all the Valentine`s Day cards sold. Valentine`s Day is the second most popular day of the year for sending cards, second only to Christmas.
Therefore, women by card on valentine day;
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What is the y-coordinate of the point in the standard (x,y) coordinate plane at which the 2 line y=x/2+3
Answer:
(0,3)
Step-by-step explanation:
Which could be the function?
f(x) = (x + 4)2
f(x) = x2 + 4
f(x) = (x – 4)2
f(x) = x2 – 4.
Answer:
An important step in the process of translation is lexical analysis, which involves identifying and analyzing the individual words in a text. Lexical analysis is used to determine the meaning of words in the context in which they are used, allowing a translator to accurately render the text into the target language. Additionally, lexical analysis is used to identify any potential ambiguities in the text, which can be important for ensuring that the translation is as accurate as possible.
What is the decimal equivalent of 8.3x10^6
Answer:
Below
Step-by-step explanation:
8.3 x 10^6 < ==== the + 6 says move the decimal point to the RIGHT
8 300 000.
A bicycle store costs $4200 per month to operate. The store pays an average of $55 per bike. The average selling price of each bicycle is $195. How many bicycles must the store sell each month to break even?
The store must sell 30 bicycles each month to break even.
To break even, the total revenue from selling bicycles must be equal to the total cost of operating the store. Let's calculate the revenue and cost of the store for selling x bicycles in a month.
Revenue from selling x bicycles = selling price per bike × number of bikes sold
= $195x
Cost of operating the store = fixed cost + variable cost
= $4200 + (cost per bike × number of bikes sold)
= $4200 + ($55x)
To break even, the revenue must equal the cost. So we can set up the linear equation equation:
$195x = $4200 + $55x
Solving for x, we get:
$140x = $4200
x = $4200 / $140
x = 30
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Please help me!Find the degree measure!
Answer:
I don't really understand geo especially proof so I guess u have to ask ur teachers
Write 3 3 5 feet as a single fraction greater than one. Then, complete the expression
Answer:
15 over 1
Step-by-step explanation:
no explanation
Suppose you roll a pair of number cubes twice. What is the probability of rolling a sum greater than 10 on both rolls?
There are 36 possible outcomes when rolling a pair of number cubes. To find the probability of rolling a sum greater than 10 on both rolls, we can start by listing all the outcomes where the sum of the first roll and second roll is greater than 10:
5 + 6 = 11
6 + 5 = 11
6 + 6 = 12
There are 3 ways to get a sum greater than 10. Since we are rolling the pair of number cubes twice, there are a total of 36 x 36 = 1,296 possible outcomes. The probability of rolling a sum greater than 10 on both rolls is therefore 3/1,296, which simplifies to 1/432.
how to find the altitude of a triangle given 3 sides?
To find the altitude of a triangle given 3 sides, you can use Heron's formula to first calculate the area of the triangle, and then use the formula for altitude to find its height.
Here are the steps to follow,
Calculate the semi-perimeter of the triangle by adding all three sides and dividing the result by 2. Let's call this value "s".
Use Heron's formula to calculate the area of the triangle. Heron's formula is:
area = √(s(s-a)(s-b)(s-c)),
where a, b, and c are the lengths of the three sides of the triangle.
Once you have the area of the triangle, you can use the formula for altitude to find the height. The formula is:
height = 2(area/base),
where base is the length of one of the sides of the triangle.
By following these steps, you can find the altitude of a triangle given 3 sides. Note that this method only works for triangles with all positive sides. If any side is negative or zero, or if the sides don't form a triangle, the method won't work.
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Please help me with the blank box :]
2. 8.472 * 10^5 in standard form is
847 2003. The scientific notation of 0.000067 is 6.7 * 10^-5
4. The division gives 4.455 * 10^3
What is Scientific notation?Scientific notation is a way of expressing very large or very small numbers in a compact and convenient way.
In scientific notation, a number is written as a coefficient multiplied by a power of 10.
The coefficient is a number between 1 and 10 (or between -1 and -10 for negative numbers), and the power of 10 indicates the size of the number.
Calculator can be used to get numbers to scientific notation and in standard form
The required division can be performed using calculator to get 4.455 * 10^3
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what is mean arterial pressure formula
The mean arterial pressure formula is MAP = CO x TPR or MAP = (SBP + 2DBP) / 3.
The mean arterial pressure (MAP) formula is:
MAP = CO x TPR
where:
CO is the cardiac output (how much blood is siphoned by the heart each moment)
TPR is the all-out peripheral resistance (the resistance from the bloodstream in the body's veins)
On the other hand, the mean arterial pressure can also be calculated using the following equation:
MAP = (SBP + 2DBP)/3
where:
SBP is the systolic blood pressure (the highest pressure in the arteries when the heart beats)
DBP is the diastolic blood pressure(the lowest pressure in the arteries when the heart is at rest between beats)
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Chau works as a busboy making $9 per hour and as a theater usher making S8 per hour. Let b be the number of hours he works as a busboy this month, and
let u be the number of hours he works as an usher.
His goal this month is to earn more than $1500 total. Using the values and variables given, write an inequality describing this.
The inequality describing Chau's goal to earn more than $1500 total this month is, $9b + $8u > $1500
This inequality represents Chau's goal to earn more than $1500 in total this month by working as a busboy and a theater usher.
The first term, $9b, represents the earnings from Chau's hours worked as a busboy, where $9 is his hourly rate as a busboy, and b is the number of hours worked as a busboy.
The second term, $8u, represents the earnings from Chau's hours worked as a theater usher, where $8 is his hourly rate as an usher, and u is the number of hours worked as an usher.
Total earnings = (hourly rate as busboy x number of hours as busboy) + (hourly rate as usher x number of hours as usher)
So, we can write the inequality for Chau's goal as follows:
$9b + $8u > $1500
where b is the number of hours worked as a busboy and u is the number of hours worked as an usher.
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A car travels 60mph for the first part of a trip abd then 80mph for the remainder of the trip which was twice as long as the first part of the trip. If the person drove a total of 330 miles, how much time was spent on each part of the trip? (please include a table of how you got the answer)
Therefore, the time spent traveling at 60mph is 1.5 hours, and the time spent traveling at 80mph is 2(1.5) = 3 hours.
Time spent traveling at 60mph = 1.5 hours
Time spent traveling at 80mph = 3 hours
How can you find distance in math?To calculate the distance between two locations, use the distance formula, a Pythagorean theorem application. The Pythagorean Theorem can be rewritten as d=((x 2-x 1)2+(y 2-y 1)2) to get the distance between any two points.
Let's denote the time spent traveling at 60mph as "t", then the time spent traveling at 80mph is "2t" because the second part of the trip is twice as long as the first part.
We can use the formula:
distance = speed x time
To calculate the distance traveled in each part of the trip, then we can set up the following equations:
distance traveled at 60mph = 60t
distance traveled at 80mph = 80(2t) = 160t
The total distance traveled is given as 330 miles, so we can set up the equation:
60t + 160t = 330
220t = 330
t = 1.5 hours
Therefore, the time spent traveling at 60mph is 1.5 hours, and the time spent traveling at 80mph is 2(1.5) = 3 hours.
Time spent traveling at 60mph = 1.5 hours
Time spent traveling at 80mph = 3 hours
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what is lhopitals rule calculator online
L'Hopital's rule calculator is the tool used to find the bounds of indeterminate functions. Returns the result of undefined functions in the form of 0/0 or ∞/∞ with steps.
This rule is used to calculate the boundary of features with undefined shapes or undefined functions. The calculator works by taking the derivatives of both numerator and denominator and then applying L'Hospital's rule. This calculator then uses those derivatives to calculate the limit of the function. The result of the limit is then shown in a step-by-step fashion.
This calculator is a useful tool for calculus students as it simplifies the process of finding the limit of an indeterminate function. It saves time and effort, as the process is done quickly and accurately rather than having to manually calculate the limit.
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Anne and Beate together have $120, Beate and Cecilie together have $60, and Anne and Cecilie together have $70. How much money do they have in total?
Answer:
Step-by-step explanation:
$270 in total
How do you find a radical expression??
To find a radical expression, simplify the expression under the radical symbol by factoring it into perfect squares or cubes.
An extreme articulation is a logarithmic articulation that contains an extreme image, for example, a square root or a 3D shape root. To find an extreme articulation, you really want to improve on the articulation under the extreme image.
Here are the moves toward work on an extreme articulation:
Factor the number under the extreme image into its excellent variables.
Recognize sets of variables that are amazing squares or wonderful blocks.
Change the extreme articulation utilizing these ideal squares or wonderful 3D shapes.
Improve on the subsequent articulation by duplicating or separating terms as required.
In the event that the articulation actually contains an extreme image, rehash the cycle until the articulation is completely streamlined.
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A football field is rectangular
a.Write a polynomial that represents the area of the football field
b.Find the area of the football field when the length of the field is 360
Answer:
(a) (300+2x)(4x+40)=8x^2+1280x+12000
(b) 300+2x=360, x=30. Then width = 4*30+40=160. 360*160=57600 ft squared.
When can a correlation coefficient based on an observational study be used to support a claim of cause and effect?
A. When the correlation coefficient is close to −1 or +1.
B. When the scatterplot of the data has little vertical variation.
C. When the correlation coefficient is equal to −1 or +1.
D. Never
A correlation coefficient based on the observational study cannot be used to support a claim of cause and effect. The correct answer is D: never.
Correlation does not imply causation, and while a strong correlation between two variables may suggest that there is a relationship between them, it does not prove that one variable causes the other. Observational studies are particularly susceptible to confounding variables, which can make it difficult or impossible to determine whether a relationship between two variables is causal or not.
To establish causality between two variables, a randomized controlled experiment is required. In a randomized controlled experiment, the experimenter can manipulate the independent variable and observe the effect on the dependent variable, while controlling for other variables that might affect the outcome. By randomly assigning subjects to different treatment groups, the experimenter can ensure that any differences in the outcome between groups are due to the treatment, rather than some other factor.
Therefore, while a correlation coefficient can be a useful tool for describing the relationship between two variables, it cannot be used to establish causality.
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what is 103 kg to lbs?
The value of 103 kg into lbs can be converted by multiplying kilogram by 2.204622 so the answer is 227.07 pounds.
Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.
The SI unit of mass is the kilogramme (kg). It has the same mass as the international kilogramme prototype. The International Bureau of Weights and Measures maintains a platinum-iridium international prototype similar to this one. A kilogramme is about equivalent to 2.20462262184878 pounds.
The legal definition of a pound, or the international avoirdupois pound, is 0.45359237 kilogrammes.
Pounds = kilograms × 2.20462262184878
= 103 x 2.20462262184878
= 227.07 pounds or lbs.
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What is the conversion of 15 cm to inch ?
The value of centimeter to inches is converted by the conversion factor of 2.54 so 15 cm is 5.9 inches.
The conversion factor of 0.393701 can be used to change a measurement from centimetres (cm) to inches (in). To find the number of inches, multiply the number of centimetres by 0.393701. In this instance, 11.42 inches are equal to 29 cm multiplied by 0.393701.
It's crucial to remember that this conversion is based on the International System of Units (SI), and it could not be the same in other measurement systems. Also, it is important to remember that centimetres (cm) and inches (in) are units of measurement for length and not for other types of measures like mass, area, or volume.
Use the proper unit of measurement for the activity or the environment; failing to do so could result in mistakes and inaccurate results. Also, it's crucial to ensure that the measurements are taken on the same scale, as doing otherwise could result in inaccurate conversions. While inches are primarily utilised in the United States and the United Kingdom, centimetres are extensively used across the rest of the world.
When determining smaller lengths or widths, such as for clothing or paper size measurements, this conversion is frequently used.
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Evaluate 6k − j2 + 2k ÷ l when j = 5, k = 12, and l = 3.
The solution is, the value of 6k − j^2 + 2k ÷ l when j = 5, k = 12, and l = 3, is 13.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
6k − j^2 + 2k ÷ l
now, we have to simplify the given expression, using multiplication , division, addition & subtraction , as per the BODMAS rule.
so, we get,
6k − j^2 + 2k ÷ l
when j = 5, k = 12, and l = 3.
putting the values, we get,
30 - 25 +24 /3
=30 -25 + 8
=5+ 8
=13
Hence, The solution is, the value of 6k − j^2 + 2k ÷ l when j = 5, k = 12, and l = 3, is 13.
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4. The Friendsville Zoo builds a new rectangular
prairie-dog enclosure using 65 yards of
fencing. Two sides of the enclosure use a
total of 41.50 yards of fencing. Determine
the length of the other 2 equal
sides.
Answer:120
Step-by-step explanation:
Answer:
The length of the other two equal sides is 11.75 yards.
Step-by-step explanation:
Let's call the length of the two equal sides of the rectangular enclosure "x". We know that the total amount of fencing used is 65 yards and that two sides already use 41.50 yards of fencing.
So, we can set up the equation:
2x + 41.50 = 65
To solve for x, we first need to isolate x on one side of the equation. We can start by subtracting 41.50 from both sides:
2x = 23.50
Then, we can divide both sides by 2 to solve for x:
x = 11.75
Therefore, the length of the other two equal sides is 11.75 yards.
A gymnast joined a yoga studio to improve his flexibility and balance. He pays a monthly fee and a fee per class he attends. The equation y = 20 + 10x represents the amount the gymnast pays for his membership to the yoga studio per month for a certain number of classes.
Which graph represents this situation?
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 20 through the point 1 comma 30
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 20 through the point 1 comma 10
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 10 through the point 1 comma 30
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 10 through the point one half comma zero
The correct graph is the first one.
What is graph?Graph is a data structure composed of nodes connected by edges, which represent a relationship between the two notes of are used to represent networks of communication that organized and even extract concept like thought or riders the nodes in the graph are often represent by Circle and it's by line but the other safe of the symbol are also use copper power Bluetooth for a organizing and understanding data and can be used to solve complex problem.
It represents the equation y = 20 + 10x, which means that the gymnast pays a flat fee of $20 for each month plus an additional $10 for each class he attends. Therefore, the graph will show a line going from the point 0, 20 through the point 1, 30.
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can you solve this in 3 min?
The dot plot of the data values is added as an attachment
How to create the dot plotFrom the question, we have the following parameters that can be used in our computation:
85,88,75,100,90,90,88,72,72,79,88,85
Next, we create a frequency table
So, we have
Values Frequency
72 2
75 1
79 1
85 2
88 3
90 2
100 1
Total 12
Using the frequency table above, we create the dot plot
See attachment for the dot plot
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