Answer:
Step-by-step explanation:
Combine like terms
4x+3(2x+5b)-4b-2x+6
Answer:
[tex]\boxed{\sf{8x+11b+6}}[/tex]Step-by-step explanation:
To solve this problem, you have to combine like terms of x and b from one side of the equation.
4x+3(2x+5b)-4b-2x+6Combine like terms.
3(2x+5b)+4x-2x-4b+6
Solve.
4x-2x=2x
Rewrite the problem down.
3(2x+5b)+2x-4b+6
Expand the form.
Use a distributive property.
Distributive property:
A(B+C)=AB+AC
3(2x+5b)
Multiply.
3*2x=6x
3*5b=15b
Rewrite the problem.
6x+15b
6x+15b+2x-4b+6
Combine like terms.
6x+2x+15b-4b+6
Add the numbers from left to right.
6x+2x=8x
8x+15b-4b+6
Then, you add again.
15b-4b=11b
= 8x+11b+6
Therefore, the final answer is 8x+11b+6.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
8x+11b+6
Step-by-step explanation:
Which one doesn’t belong? A B C D
Answer:
A
Step-by-step explanation:
because its not an angle
Answer:
i would say a
Step-by-step explanation:
because b c and d sort of have an angle to them but a is straight
A circular pizza that is 17 inches in diameter is cut into 6 equal slices. What is the area of one of the slices?
The area of one slice is in?
Answer:
51
Step-by-step explanation:
17x6=51
Expand the following expressions by multiplying out the brackets
-4(4f+3)
Answer:
- 16f - 12
Step-by-step explanation:
- 4(4f + 3) ← multiply each term in the parenthesis by - 4
= - 16f - 12
Hello!
In order to simplify this expression, we should use the Distributive Property and distribute -4:
-4(4f+3)
-16f-12
Note:
[tex]\square[/tex] A negative times a negative is a positive.
Hope everything is clear.
Let me know if you have any questions!
#KeepOnLearning
The point (-1, 3) is the turning point of the graph with equation y = x2 + ax + b,
where a and b are integers.
Find the values of a and b.
Answer:
a = 2
b = 4
Step-by-step explanation:
Δy = 2x + a.................for turning point, Δy/Δx = 0.
Δx
0 = 2x + a
x = -a/2.........from ( -1, 3), x = -1...............so,
-1 = -a/2.................a = 2.
y = x^2 + ax + b.
y = 3 , a = 2.................substitute.
3 = (-1)^2 + 2(-1) + b
3 = 1 -2 + b
b = 4
Answer:
The turning point of a parabola is the vertex
Vertex form of a quadratic equation: [tex]\sf y=a(x-h)^2+k[/tex]
(where (h, k) is the vertex and a is the coefficient of the variable x²)
Given:
[tex]\sf y=x^2+ax+b[/tex]vertex = (-1, 3)Therefore, a = 1
Substituting a = 1 and the given vertex into the equation:
[tex]\sf \implies y=1(x-(-1))^2+3[/tex]
[tex]\sf \implies y=(x+1)^2+3[/tex]
[tex]\sf \implies y=x^2+2x+1+3[/tex]
[tex]\sf \implies y=x^2+2x+4[/tex]
Therefore, a = 2 and b = 4
What is the diameter of a hemisphere with the volume of 74466
[tex]\textit{volume of a hemisphere}\\\\ V=\cfrac{1}{2}\cdot \cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=74466 \end{cases}\implies 74466=\cfrac{1}{2}\cdot \cfrac{4\pi r^3}{3} \\\\\\ 74466=\cfrac{2\pi r^3}{3}\implies 223398=2\pi r^3\implies \cfrac{22398}{2\pi }=r^3\implies \cfrac{111699}{\pi }=r^3 \\\\\\ \sqrt[3]{\cfrac{111699}{\pi }}=r~\hfill \stackrel{\textit{diameter = 2r}}{2\sqrt[3]{\cfrac{111699}{\pi }}\implies \sqrt[3]{\cfrac{893592}{\pi }}}~~ \boxed{\approx~~65.77}[/tex]
Given g(x)=5x-3g(x)=5x−3, find g(-4)g(−4).
g(x)=5x-3
g(x)=5x−3
g(\color{green}{-4})=5(\color{green}{-4})-3
g(−4)=5(−4)−3
Plug input into x
-20-3
−20−3
Multiply
-23
−23
Answer:
the answer is 529
Step-by-step explanation:
see the explanation photo
) Andy is walking her dog Sherman on a local trail and Sherman falls 100 feet down a ravine. Andy is overcome with emotion and needs your help to save her dog. (Don’t mess this up!) You can repel down and successfully rescue Sherman, but you must first calculate how much rope is needed.
(a) Fill in your height here rounded to the nearest foot: ___________________
(b) Choose a measure for angle A between 31° and 51° (whole numbers only): ____________
Based on the calculations, the height of this ravine is equal to 143.95 feet.
Given the following data:
Height of ravine = 100 feet.How to calculate the length of rope.First of all, we would assign a variable to the height of the ravine, which is 100 feet tall.
Let the height of ravine be h.
Note: We would choose 46° as a measure for angle A.
From the image attached, we would determine the length of the hypotenuse by using Cosine trigonometric:
[tex]Cos A=\frac{Adj}{Hyp} \\\\Cos 46=\frac{100}{h} \\\\0.6947=\frac{100}{h}\\\\h=\frac{100}{0.6947}[/tex]
h = 143.95 feet.
Read more on trigonometry functions here: https://brainly.com/question/4515552
!!40 points and Brainliest if it’s correct!!ANSWER IT ONLY IF YOU KNOW THE ANSWER. IF YOU DONT KNOW DONT ANSWER IT. Make sure you explain please!
Which of the following shows the correct first step to solve x^2 - 16x = -21 by completing the square?
A)x^2 - 16x + 64 = -21
B) x^2 - 16x + 64 = -21 + 64
C) x^2 - 16x + 16 = -21 + 16
D) x^2 - 16x + 8 = -21 + 8
Answer:
B) [tex]x^{2} -16x+64=-21+64[/tex]
Step-by-step explanation:
The first step to completing the square is by dividing "b" by 2, squaring that number, and adding it on both sides. In this case, 16/2 = 8 and 8 squared = 64. In answer choice B, this is correctly added to both sides of the equation.
See the full steps for completing the square below. If you're still stuck on this, I suggest watching the completing the square video on Tutors.com. It is very helpful!
Have a great day!
The quotient of forty-three and a number m
Answer:
43/m
Step-by-step explanation:
Quotient refers to the resulting answer when a number is divided by a divisorIn this case, our number is 43 and divisor is mTherefore, the quotient is :43/mAnswer:
43/m
Step-by-step explanation:
We can consider the word phrase 'the quotient of' to be a division property.
We can also contemplate that the phrase 'a number m' represents a variable, m, of an unknown value.
Together, we link these two to create the expression;
43 ÷ m which can also be known as 43/m.
What is the value of the expression below?
4. 8 x 108
-x (2. 2 x 10-6)
1. 2 x 104
Answer:
I'm not sure I understand the formatting. I don't know what the x is supposed to be for the middle term (-x(2.2x10^6)), so I dropped the x for the calculation. I also assumed all terms are to be added. If these assumptioons are correct, the answer is:
4.58012 x 10^8 or 4.6x10^8 (see below)
Step-by-step explanation:
(4.8x10^8) - (2.2x10^6) + 1.2x10^4
(4.8x10^8) - (0.022x10^8) + (0.00012x10^8)
4.8
-0.22
+0.00012
4.58012
4.58012 x 10^8
There are only 2 significant digits (2.8x10^8) so if this is an answer relating to a scientific measurement, it would need to rounded to simply 4.6x10^8.
Eva is solving the equation 4(x+32)=8
She says, “I can subtract 32 from each side to get 4x=132 and then divide by 4 to get x=138."
Dakota says, “I think you made a mistake.”
Determine the correct value for x.
x=
Answer:
The correct answer is -30
Step-by-step explanation:
4(x+32)=8 basically you multiply 4 times the numbers that are in the parentesis which that will equals to 4x+128 because 4x1= 4x and 4x32 = 128. then you subtract 128 from 8 which equals to -120. you divide -120 by 4 which equals to -30.
Maria wants to determine which students is favored for president of the student council. Which of the following samples are biased and not freedom? Select all that apply.
O Surveying the boys in the freshman class.
O Surveying every other student in the cafeteria.
O Surveying all the students in her math class.
O Surveying 20 students from each grade at random.
O Surveying the students in the chess club.
Answer:
A, C, E,
Step-by-step explanation:
A)Surveying the boys in the freshman class.
C)Surveying all the students in her math class.
E)Surveying the students in the chess club.
so it's got like money before and after and it has indepent and dependent variable
Answer:
The dependent variable is the amount of money you earn because the amount of money you earn depends on how many chores you do.
Suppose that John wants to calculate a 96% confidence interval for a population mean from a sample of
size n = 15. What is the appropriate critical value t*?
a. 2.145
c. 2.264
b. 2.249
d. 2.054
Answer:
A I believe try A that should be it
please help.......................
Answer:
what are the options? the answer I got was a fraction 19/4
Tamara attends a cycling class that starts at 6:00. The class lasts 45 minutes. What time does class end?
Answer:
6:45
Step-by-step explanation: add 45 min to 6:00 and you have your answer
Answer:6:45
Step-by-step explanation: 6:00 + 45minutes would be 6:45
What is 1 3/8 written as a decimal
Answer:
1.625
Step-by-step explanation:
Solve 34x−5<8. Round your answer to the nearest thousandth
Answer:
x < 0.382
Step-by-step explanation:
because we know that 34x is smaller than 13. therefore after division we can find out that x must be smaller than 0.382
What is the solution to this system of equations?
4x+y=6
x-2y=6
A (-2)
B (1,2)
C (1/2, 4)
D (-2,2)
Which of the following best describes the graphs below?
A.
Parallelogram A is similar to parallelogram B by dilating parallelogram A by a scale factor of 2 with the center of dilation at the origin, translating it 4 units down and 4 units left, and reflecting it across the y-axis.
B.
Parallelogram A is neither similar nor congruent to parallelogram B.
C.
Parallelogram A is congruent to parallelogram B by dilating parallelogram A by a scale factor of with the center of dilation at the origin, translating it 4 units down and 4 units left, and reflecting it across the y-axis.
D.
Parallelogram A is similar to parallelogram B by dilating parallelogram A by a scale factor of with the center of dilation at the origin, translating it 4 units down and 4 units left, and reflecting it across the x-axis.
Answer:
Step-by-step explanation:
D
Which agency is responsible for promoting the welfare and opportunities of wage earners? a. fda b. hud c. dol d. cpsc
Answer:
DOL, also known as the Department of Labor, is the agency responsible for promoting the welfare and opportunities of wage earners.
Their main goal is to fight for equal rights among workers and to make their wishes and needs at the workplace come true.
Answer:
c
Step-by-step explanation:
The radius of a circle is 15 m. Find its circumference in terms of π
C = 2 x pi x r
C = 2 x pi x 15 = 30 π
What is the slope of the graph of this function in decimal form?
(6,1) (-6,-5)
Answer:
slope = 0.5
Step-by-step explanation:
[tex]slope=\frac{-5-1}{-6-6} =\frac{-6}{-12} =\frac{1}{2} =0.5[/tex]
Hope this helps
The slope of the graph through points (6,1) and (-6,-5) is 0.5.
What is the slope of the graph?The slope formula can be expressed as:
[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Given the coordinates of the points through which the graph passes through:
Point 1 ( 6,1 )
x₁ = 6
y₁ = 1
Point 2( -6,-5 )
x₂ = -6
y₂ = -5
Plug the coordinates into the slope formula and simplify.
[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}\\\\Slope (m) = \frac{-5 - 1}{-6 - 6}\\\\Slope (m) = \frac{-6}{-12}\\\\Slope (m) = \frac{1}{2}\\\\Slope (m) = 0.5[/tex]
Therefore, the slope of the line is 0.5.
Learn more about slope formula here: brainly.com/question/24578307
#SPJ3
A survey of 600 people was conducted to find thier favorite book genre. The survey results are shown in the table o the right. Adventure:102, Comedy: 114, Mystery:84, Romance:132
Part A: How many people responed with a genre other than one of the genres listed?
Part B: Develop a complete probabiliy model to describe all possible reasons, including 'other' as one response.
PLEASE HELP ASAP
The probability shows that the number of people who responed with a genre other than one of the genres listed is 168.
How to calculate the probability?The number of people who responded with a genre other than one of the genres listed will be:
= 600 - (102 + 114 + 84 + 132)
= 600 - 332
= 168
The probability for adventure = 102/600 = 0.17
The probability for comedy = 114/600 = 0.19.
The probability for mystery = 84/600 = 014
The probability for romance = 132/600 = 0.22
The probability for others = 168/600 = 0.28
Learn more about probability on:
https://brainly.com/question/24756209
What is the area of triangle rst? 6 square units 9 square units 12 square units 18 square units
The area of the considered triangle RST is given by: Option A: 9 sq. units.
How to find the area of a triangle?If we have:
Length of its base = b unitsIts height = h units long,Then we get:
Area of a triangle = [tex]\dfrac{b \times h}{2} \: \rm unit^2[/tex]
The missing image is attached below.
If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.
Thus, we have:
Area of RST = half of length of RS (base) times length of UT (height)
As visible from image, we have:
Length of RS = 6 blocks of unit length = 6 units
Similarly, length of UT = 3 units
Thus, we get:
Area of RST = [tex]\dfrac{6 \times 3}{2} = 9 \: \rm unit^2[/tex]
Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.
Learn more about area of a triangle here:
https://brainly.com/question/14503701
Select all that apply.
Green pencils are priced at $1.28 for 4. Blue pencils are priced at $5.52 for 24. Which of the following statements are true?
The unit rate for blue pencils is $0.28
The unit rate for green pencils is $0.32
The green pencils are priced less per pencil
The blue pencils are priced less per pencil.
Correct Statements:
1) The unit rate for green pencils is $0.32
2) The blue pencils are priced less per pencil.
Step-by-step explanation:
UNIT RATE:Green pencils:
Given that,
4 green pencils = $1.28
Divide 4 to both sides
1 green pencil = $1.28 / 4
1 green pencil = $0.32
Blue pencils:
Given that,
24 blue pencils = $5.52
Divide 24 to both sides
1 blue pencil = $5.52 / 24
1 blue pencil = $0.23
Blue pencil is priced less per pencil when compared to green pencil.
[tex]\rule[225]{225}{2}[/tex]
The price of a car has been reduced from $14,500 to $10,730. What is the percentage decrease of the price of the car?
What is the surface area of this right triangular prism? enter your answer in the box.
Answer:
Step-by-step explanation:
where is the prism???
i can't answer without seeing the question
please help me with this math! thank you!
Answer:
Heads or Tails
Step-by-step explanation:
its right there super simple.