The graph of f(x) = 7^x is stretched vertically by a factor of five. Which of the following is the equation of the new graph, g(x)?
A.
g(x) = 5^(7x)
B.
g(x) = 7(5^x)
C.
g(x) = 7^(5x)
D.
g(x) = 5(7^x)

The Graph Of F(x) = 7^x Is Stretched Vertically By A Factor Of Five. Which Of The Following Is The Equation

Answers

Answer 1

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[tex]g(x) = 5( {7}^{x} )[/tex]

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The correct answer is (( D )) .

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Answer 2

The Graph transformation of [tex]f(x) = 7^x[/tex] which stretched vertically by a factor of five is  [tex]g(x) = 5(7^x)[/tex] .

What is graph transformation?

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph .

According to the question

The graph of [tex]f(x) = 7^x[/tex]  stretched vertically by a factor of five .

i.e

we have to make change is graph equation so y axis changes 5 times .

Therefore ,

[tex]f(x) =( 7^x ) * 5[/tex]

The Graph transformation  of f(x) is

[tex]g(x) = 5(7^x)[/tex]

Hence, the Graph transformation of [tex]f(x) = 7^x[/tex] which stretched vertically by a factor of five is  [tex]g(x) = 5(7^x)[/tex]

To know more about Graph transformation here:

https://brainly.com/question/10059147

#SPJ2


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There are approximately 7.5 x 10^18 grains of sand on earth. There are approximately 7x10^27 atoms in and average human body. Are there more grains of sand on earth or atoms in a human body?

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There are more atoms in a human body because 7.5*10^18 is less than 7*10^27.

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Which function represents the sequence in the table?

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Answer:

Step-by-step explanation:

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Suppose a Pony Express rider was paid $168 for 14 weeks of work.

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Answers

Answer:

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Step-by-step explanation:

Answer:

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jack is paid £1800 a month. he spends half his money on rent. he spends the rest on food, bills and savings in the ratio 4:3:2 how much does he spend on bills?

Answers

Answer:

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Step-by-step explanation:

He has £900 left after paying rent.

The fraction he spends on bills = 3(4+3+2)

= 3/9

= 1/3.

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Identify the number of solutions or zeros:
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Answers

Answer:

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Step-by-step explanation:

PLEASE MARK BRAINLIEST

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

59.99 * 6.5% = 3.89935. we can round that to $3.90.

59.99 + 3.90 = $63.89 total

Answer:

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Step-by-step explanation:

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Feel free to give brainliest.

Have an outstanding day!

Given: 3x + 2y + 7 = 5x +3y +10

Prove: m = -2

please help im very confused :)
also make sure to include the statements and reasonings as shown in the screenshot!

Answers

Subtract 2y from both sides (property of subtraction)
3x + 7 = 5x + y + 10
Subtract 3x from both sides
7 = 2x + y + 10
Subtract 10 from both sides
2x + y = -3
Subtract 2x from both sides
y = y = -2x -3
m = -2

Answer:

See Below.

Step-by-step explanation:

1) Given:

[tex]3x+2y+7=5x+3y+10[/tex]

2) Subtraction Property of Equality (subtract 2y from both sides):

[tex]3x+7=5x+y+10[/tex]

3) Subtraction Property of Equality (subtract 5x from both sides):

[tex]-2x+7=y+10[/tex]

4) Subtraction Property of Equality (subtract 10 from both sides):

[tex]-2x-3=y[/tex]

5) Symmetric Property:

[tex]y=-2x-3[/tex]

6) Slope-intercept form:

[tex]y=mx+b\text{, where $m$ is slope and $b$ is y-intercept.}[/tex]

7) Substitution:

[tex]m=-2[/tex]

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Answers

Answer:

15

Step-by-step explanation:

120=8x-10

130=8x

15=x

Answer:

x=15

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What is the maximum number of intersection points a hyperbola and a parabola could have?

Answers

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Answers

Answer:

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Step-by-step explanation:

Twice as many students go to the park than to the theater :

Let number who go the theater = t

Number who goes to park = 2t

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Number who goes to museum = t - 5

If number of students who goes to park = 16

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2t = 16

t = 16/2

t = 8

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t - 5 = 8 - 5 = 3

Hence, number of students who goes to the museum = 3

Matea recorded that water levels in one part of the river fell 1.05 millimeters per year for 2.48 years. Describe how you could estimate the total variation in water level.

Answers

Answer:

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Step-by-step explanation:

mark me as brainliest pls its right

Answer:

The decrease of the decimal rate -1.05 mm/year can be rounded to -1. You don’t need to round 2.48 because you’re multiplying by -1. Since -1.05 is negative and rounded to a greater value, the estimate could be adjusted to a slightly lesser value, maybe -2.5 or -2.6

write the algebraic expression that represents the following

b. Five less than the quotient of nine and a number
c. One half of the sum of six times a number and twenty-two
d. Nine less than twice the difference between a number and seven
e. Eleven less than a number squared​

Answers

Answer:

9x -5

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A biologist uses a rectangular tray that has a width of 1.5 feet and a height of 2 feet. What is the area of the tray in square feet?

Answers

Answer: 3ft squared

Step-by-step explanation: to find the area you have to multiply the height by the width. So 2 times 1.5 is equal to 3.

Factor this polynomial expression.
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O B. (5x - 4)(3x+2)
O C. (5x + 2)(3x - 4)
O D. (5x-2)(3x+4)

Answers

Answer:

B. (5x - 4)(3x + 2)

Step-by-step explanation:

Factor the following:

[tex] \longrightarrow [/tex] 15x² - 2x - 8

The coefficient of x² is 15 and the constant term is -8. The product of 15 and -8 is -120. The factors of -120 which sum to -2 are 10 and -12.

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[tex] \longrightarrow [/tex] (5x - 4)(3x + 2)

jsjsjwjwjwjwjqjqjjqkqkakajajajajajjajaj

Answers

Answer:

csgrerhhhrsdShuavkilrqadccddvny

Step-by-step explanation:

A 450 gallon tank full of water is draining at a rate of 20 gallons per minute. We can represent the situation with the equation:

y
=
450

20
x
y
=
450
-
20

x

where x is the number of minutes that have passed by, and y is the amount of water in the tank. How long will it take for the tank to have 200 gallons?

A.
12.5 minutes

B.
32.5 minutes

C.
2.15 minutes

D.
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Answers

Replace y with 200 ( amount of water in the tank) and solve for x:

200 = 450 -20x

Subtract 450 from both sides:

-250 = -20x

Divide both sides by-20:

X = 12.5

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Answers

Step-by-step explanation:

There are several ways to solve this, but the only one I remember how to do is with the pythagorean theorem. The distance between A and B is the same as a hypotenuse of a triangle with a height the absolute value of y1-y2 and a base of the absolute value of x1-x2.

For example, in the first question, the coordinates are (1,2) and (9,8), so we have a triangle with base 8(9 - 1) and 6(8 - 2). Now we just need to plug that into the pythagorean theorem like so:

[tex] {a}^{2} + {b}^{2} = {c }^{2} [/tex]

or plugging our numbers in,

[tex]8^{2} + {6}^{2} = 100[/tex]

The answer is the radical of the answer, in this case 10.

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Answers

Y= 3x+3 is the correct answer:)

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Answers

The first part is 1325

10 x 35=350

15 x 65=975

The you add them which equals 1325

Answer:

A) 1325 lbs. B) 10s+15l

Step-by-step explanation:

One small box: 35 lbs (s)

One large box: 65 lbs (l)

If you want to find the total weight for 10 small boxes and 15 large boxes, set up the equation.

10s+15l. This equation is also the answer to part B.

We already know s and l (the weights of the boxes) so plug the values in.

we get:

350+975.

Now add them to get the total weight.

The total weight is 1325 lbs.

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Answers

Answer:

117 i think

Step-by-step explanation:

because you need to find the distance from a to b which is 13 units

then you need to find the distance from b to c which is 9 units

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Use the Pythagorean Theorem to find the length of the sides "d" and "f." Explain your answer.

Answers

Answer:

f = 10·√3/3 ≈ 5.774

d = 5·√3/3 ≈ 2.887

Step-by-step explanation:

The given parameters are;

The angles opposite the 90°, right angle, = 60° and 30°

The length of the leg opposite the 60° angle = 5

Therefore, by Pythagorean Theorem, we have;

f² = d² + 5²

However, by trigonometry, we have;

sin(θ) = Opposite/Hypotenuse

For the angle of the triangle, θ = 30°, we have;

sin(30°) = d/f = 0.5

∴ d = f × 0.5 = 0.5·f

Substituting the value of d in the equation given by Pythagorean Theorem, we have;

f² = (0.5·f)² + 5² = 0.25·f² + 5²

f² = 0.25·f² + 5²

f² - 0.25·f² = 5²

0.75·f² = 5²

f² = 5²/0.75 = 100/3

f = 10/√3 = 10·√3/3

f = 10·√3/3

d = f × 0.5 = 10·√3/3 × 0.5 = 5·√3/3

d = 5·√3/3.

it for dreelliot only 2+2 = ? ​

Answers

Answer:

4

Step-by-step explanation:

+

that is as simple as I could put it you literally just need to count the skulls

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Answers

Answer:

-4  and 3

Step-by-step explanation:

-4+3 would equal -1.

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Answers

Answer:

X=9 so D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

70 and 12x + 2 are same- side interior angles and are supplementary, thus

12x + 2 + 70 = 180 , that is

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12x = 108 ( divide both sides by 12 )

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in the expression shown below, the number 2 and 5 that are place in front of the variables are called
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A. Degrees
B. Polynomials
C. Coefficient
D. Radicals ​

Answers

Coefficient because the number in front of the variable is the coefficient

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Answer:

A

Step-by-step explanation:

Answer:

32.43 increase

Step-by-step explanation:

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In which part of the periodic table (top-left, top-middle, top-right, bottom-left, bottom-middle, bottom-right, middle-left, middle-center, middle-right) do we find most of the atoms that make up life?

Answers

Answer:

Top right i believe

Step-by-step explanation: the elements that make up life are carbon, hydrogen, oxygen, nitrogen, phosphorus, and sulfur.

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