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Lelechka [254]
3 years ago
8

If you vertically stretch the exponential function f(x)=2x by a factor of 3, what is the equation of the new function

Mathematics
1 answer:
marin [14]3 years ago
4 0

Answer:

g(X)=3(2^x)

Step-by-step explanation:

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The height of a square prism is 3n + 1. The volume of the prism is 3n³ + 13n² + 16n + 4. What is the area of the square base of
EastWind [94]
If s is the side of the square base, the area of the square base is s^2.
The volume of the square base is,
V = (s²) (h)
s² = V/h
s² =  3n³ + 13n² + 16n + 4 / <span>3n + 1
You can do this division by factoring, synthetic division, or by plain division.
Factoring out 3n + 1 from the numerator gives you:
</span>s² = (3n + 1)(n² + 4n + 4) / 3n+1
s² = n² + 4n + 4

Therefore, the area of the square base is <span>n² + 4n + 4.</span>
8 0
3 years ago
Write and equati9n of a l8ne that passes through (1,-2) and is perpendicular to -4x+7y=21
yarga [219]

Given:

A line passes through (1,-2) and is perpendicular to -4x+7y=21.

To find:

The equation of that line.

Solution:

We have, equation of perpendicular line.

-4x+7y=21

Slope of this line is

m_1=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}

m_1=-\dfrac{-4}{7}

m_1=\dfrac{4}{7}

Product of slope of two perpendicular lines is -1.

m_1\times m_2=-1

\dfrac{4}{7}\times m_2=-1

m_2=-\dfrac{7}{4}

Now, slope of required line is -\dfrac{7}{4} and it passes through (1,-2). So, the equation of line is

y-y_1=m(x-x_1)

where, m is slope.

y-(-2)=-\dfrac{7}{4}(x-1)

4(y+2)=-7(x-1)

4y+8=-7x+7

4y+7x=7-8

7x+4y=-1

Therefore, the equation of required line is 7x+4y=-1.

7 0
2 years ago
PLEASE HELP ME I GIVE BRAINLIEST
mariarad [96]

Decimal Form: 11.5

Fraction Form: 11 1/2

7 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=20%20%5Cdiv%20%289%20-%205%29%20%2B%201" id="TexFormula1" title="20 \div (9 - 5) + 1" alt="20
sammy [17]
The answer is 6 cause 9-5 is 4 and 20/4 equal 5+1 equal 6
8 0
3 years ago
Which division problem is equivalent to 2/5
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Cut 5 equal sections from a 2 foot long ribbond
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