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2 years ago

If f(x)=-x-2 and g(x)=x^2, what is (g°f)(-6)

Mathematics

1 answer:

Leto [7]2 years ago

6 0

$(g \circ f)(x)=(-x-2)^2=x^2+4x+4\\\\
(g\circ f)(-6)=(-6)^2+4\cdot(-6)+4=36-24+4=16$

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The equation of a line is given by, 13x – y + 12 = 0. Find the slope and both the intercepts.

MArishka [77]

Answer:

The slope is 13.

The x intercept is $x=\frac{-12}{13}$ .

The y intercept is $y=12$ .

Step-by-step explanation:

1. Finding the slope.

This is a linear equation, because it's graph forms a line. In a linear equation, the slope is always the value that multiplies x. In this case, x is being multiplied by 13, therefore, the slope is 13.

2. Finding the x intercept.

The x intercept is found when the value of y is 0. Let's replace the value of y for 0 in the equation and solve the x:

$13x-y + 12 = 0\\\\13x-(0) + 12 = 0\\\\13x+12 = 0\\\\13x= -12\\\\x=\frac{-12}{13}$

The x intercept is $x=\frac{-12}{13}$ .

3. Finding the y intercept.

The y intercept is found when the value of x is 0. Let's replace the value of x for 0 in the equation and solve the y:

$13x-y + 12 = 0\\\\13(0)-y + 12 = 0\\\\-y + 12 = 0\\\\-y=-12\\\\y=12$

The y intercept is $y=12$ .

3 0

2 years ago

Given the functions f(x) = – 3x – 5 and g(x) = x^2 – 4, find g(f(x)).

IceJOKER [234]

Answer is b . G)f(x))=9x^3+30x

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3 years ago

Lol I am having an exam ....no but help

mr Goodwill [35]

Answer:

Step-by-step explanation:

It should be 3 because when you look at it divide them all and each one gives you 3. If it's not then sorry.

4 0

3 years ago

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TiliK225 [7]

Answer:

Step-by-step explanation:

If you multiply the square root of any number by the square root of the same number you get that number.

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3 years ago

What is the volume of the following triangular prism?

Firdavs [7]

Answer:

Step-by-step explanation:

In order to calculate the volume of a triangular prism you need 2 things:

The triangles area and the prism's height.

Any prism's volume can be calculated by multiplying its base area with its height.

The Area of a triangle can be calculated in different ways.

The most used and "normal" way is:

(width * height) / 2

Another way is by using herons formula, which looks like this:

a, b, c = different sides of the triangle (length)

s = (a + b + c) / 2

a = $\sqrt{s (s-a)(s-b)(s-c)}$

When you have the prism's base area ( $b_{a}$ ) you just have to multiply:

$b_{a}*h=V$

(V = volume)

If you have any questions, just ask them in the comments below.

Have a good day! (●'◡'●)

7 0

2 years ago