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pashok25 [27]
2 years ago
5

Given the definitions of f(x) and g(x) below, find the value of g(f(-3)). f(x) = 5x + 11 g(x) = x2 + 4x – 11 ​

Mathematics
2 answers:
Lerok [7]2 years ago
8 0

Answer:

g(f(-3)) = -11

Step-by-step explanation:

First, we evaluate f(-3) and then plug that value into g(x) for x:

f(x) = 5x + 11

f(-3) = 5(-3) + 11 = -15 + 11 = -4

Therefore:

g(f(-3)) = (-4)^2 + 4(-4) - 11 = 16 - 16 - 11 = 0 - 11 = -11

Serga [27]2 years ago
3 0

Answer: -11

Step-by-step explanation:

Find the value of g(f(-3)) given the two equations:

f(x) = 5x + 11

g(x) = x² + 4x - 11

<em>Plug -3 into equation f(x). </em>

f(-3) = 5(-3) + 11

<em>Solve for f(x).</em>

-4 = f(-3)

<em>Plug -4 into the equation of g(x). </em>

g(-4) = (-4)² + 4(-4) - 11

<em>Solve for g(x).</em>

g(-4) = (16) + (-16) - 11

g(-4) = -11

The value of g(f(-3)) is -11.

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Which coin has a diameter with a 5 in the hundredths place?
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The hundredth place would be the third one from the left.

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How many solutions does the equation −3x−17=−17−3x have?
harkovskaia [24]

Answer:

an infinite number of solutions

Step-by-step explanation:

−3x −17 = −17 −3x

left side = right side  TRUE because -3x-17 is the same as -17-3x

we can rearrange  the the equation

−3x −17 +17 = −17 +17−3x, add 17 on both sides of the equations

            -3x = -3x, divide both sides by (-3)

               x = x

Since this equation is <u>always true ( for any number ) </u>we have <u>an infinite number of solutions</u> (since there are is an infinity of numbers.)

8 0
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-8x = 140<br><br> Solve for x
Alekssandra [29.7K]

Answer:

<h2><em><u>x = -17.5</u></em></h2>

Explanation:

-8x = 140

  • Divide both sides by -8

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6 0
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What is the height of the triangle? 12 units 24 units 36 units 72 units.
konstantin123 [22]

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side. The height of the tringle is 24 units. Hence option 2 is the correct option.

<h3>Given information-</h3>

The triangle for the given problem is shown in the image below.

Form the figure the length of the each side is 16 \sqrt{3} units.

As all the sides are equal thus the \Delta MNO is a equilateral triangle in which the height of the divides the triangle into two equal part of the length 8\sqrt{3} at point <em>R.</em>

<h3>Height of the triangle-</h3>

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side.

Now in the  \Delta MRN, the length of the hypotenuse is 16 \sqrt{3} units and the length of the base is 8\sqrt{3} units. Let <em>h </em>is the height of the triangle thus by the Pythagoras theorem,

(16\sqrt{3})^2 =(8\sqrt{3})^2+h^2

Solve for <em>h,</em>

<em />

<em />\begin{aligned}h^2 &=(16\sqrt{3})^2 -(8\sqrt{3})^2\\h^2 &=16\times16\times3 -8\times8\times3\\h^2 &=576\\h &=\sqrt{576}\\h &=24\\\end<em />

<em />

Thus the height of the tringle is 24 units. Hence option 2 is the correct option.

Learn more about the equilateral triangle here;

brainly.com/question/4268382

5 0
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