All categories

3 years ago

Given the following functions f(x) and g(x), solve f over g(−4) and select the correct answer below:

Mathematics

2 answers:

Zina [86]3 years ago

7 0

Answer:

Third option is correct.

Step-by-step explanation:

The given function are

$f(x)=4x-4$

$g(x)=x-1$

We have to find the value of $(\frac{f}{g})(-4)$ .

$(\frac{f}{g})(-4)=\frac{f(-4)}{g(-4)}$

Substitute x=-4 in both functions.

$f(-4)=4(-4)-4=-20$

$g(-4)=(-4)-1=-5$

$\frac{f(-4)}{g(-4)}=\frac{-20}{-5}=4$

Therefore option 3 is correct and the value of $(\frac{f}{g})(-4)$ is 4.

marishachu [46]3 years ago

5 0

$\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}\\\\f(x)=4x-4;\ g(x)=x-1\\\\f(-4)=4\cdot(-4)-4=-16-4=-20\\\\g(-4)=-4-1=-5\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{-20}{-4}=4$

You might be interested in

Find the surface area. Use 3.14 for pi

Tatiana [17]

Answer:

S=1444.4

Step-by-step explanation:

they already gave the formula so

13 is the height, 10 is the radius

plug it in to the formula (using 3.14 for pi)

S=2(3.14)(10)^2+2(3.14)(10)(13)

S=628+816.4

S=1444.4

5 0

3 years ago

Read 2 more answers

The mapping diagrams below show 4 different relationship between input and output values.

KatRina [158]

Answer:

A. B and C are functions

Step-by-step explanation:

Given

See attachment for mapping diagrams

Required

Which represent function

For a mapping to be considered a function, each element of the input set must only point to 1 element of the output set.

Base on the above analysis, we have:

Map A

1 points to 6; 2 to 7; 3 to 8; and 4 to 9

This is a function

Map B

2 points to 0; 4 to 0; 6 to 0; and 8 to 0

This is a function

Map C

1 points to 8; 3 to 8; 5 to 9; and 7 to 9

This is a function

Map D

0 points to 2 and 5; 3 points 7 and 9

This is not a function

8 0

3 years ago

I’ll give you brainliest for the first person with an answer

raketka [301]

Answer:

1296mm^2

Step-by-step explanation:

Surface Area of the Rectangular Prism to the left on top of the box:

Area of square = lw, 9mm * 9mm = 81mm, then multiply by 2 because 2 of the squares are a part of the surface, giving 162mm^2

Area of a rectangle =lw, 9mm * 9mm = 81mm, then multiply by 2 again, because 2 rectangles are a part of the surface, giving 162mm^2

So, the total surface area of the rectangular prism to the left on top, is 324mm^2

Surface Area of the Triangular Prism:

Area of a triangle: 1/2bh, and our base length would be 12, because we have to subtract 9 from 21 since the base length of the triangle isn't stated. Anyways, A = 1/2bh, so A = 1/2(12)(9) = 54mm^2, but multiply by two, so we get 108mm^2.

Area of the rectangle: lw, so 15mm * 9mm = 135mm^2

So, the total surface area of the triangular prism is 243mm^2

Surface Area of the Rectangular Prism at the bottom:

Area of the long rectangles in front = lw, 21mm * 9mm = 189mm^2, multiply by 2, 378mm^2

Area of the rectangles to the side = lw, 9mm * 9mm = 81mm^2, multiply by 2, 162mm^2

Area of the rectangle at the very bottom = lw, 21mm * 9mm = 189mm^2

So, the total surface area of the rectangular prism at the bottom is 729mm^2

Add all the total surface areas of each shape to get the total surface area of the figure:

324mm^2 + 243mm^2 + 729mm^2 = 1296mm^2

The surface area of the figure above is 1296mm^2

4 0

2 years ago

Suppose a triangle has sides a, b, and c, and let theta be opposite the side of length a. If cos theta < 0, what must be true

katrin2010 [14]

If $\cos \theta\ \textless \ 0$ , then angle $\theta$ is obtuse and triangle with sides a, b, c is obtuse triangle.
In an arbitrary triangle can be only one obtuse angle, and the side which lies opposite to the largest angle is the largest. Then since angle $\theta$ is opposite the side of length a you can conclude that a>c and a>b.

6 0

3 years ago

What is the value of x in the equation x – y = 30, when y = 15?

wariber [46]

The answer is equal to a

8 0

3 years ago

Read 2 more answers