1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
belka [17]
3 years ago
10

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:

<u>Map A</u>

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

<em>This is a function</em>

<u>Map B</u>

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

<em>This is a function</em>

<u></u>

<u>Map C</u>

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

<em>This is a function</em>

<u>Map D</u>

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

<em>This is not a function</em>

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 <u>162mm^2</u>

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

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 <u>108mm^2</u>.

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

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, <u>378mm^2</u>

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

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

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

<u />

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 &lt; 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 <span>angle \theta is opposite the side of length a</span>  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
Other questions:
  • 1. Chicken stock cost $6.80 per gallon.
    8·2 answers
  • Please help asap 50 pts
    5·2 answers
  • What allergens do the graham crackers contain
    7·1 answer
  • Waht is 4 x 5 i just learnt multipalcashin
    8·2 answers
  • 1) x² 2(x+y) - y^2 <br>2) x^4+ x^2y^2+ y^4​
    9·1 answer
  • Does the graph show a proportional relationship? explain. ​
    15·1 answer
  • Select the story problem that this division problem represent 1/2 2/5
    5·1 answer
  • What is 98 2/3 written as a decimal
    11·2 answers
  • PLSS HELLLPPP!!!!!!!!!!!!!!!!!!!!
    9·2 answers
  • A delivery truck covers a distance of 50 miles every hour. Write the equation that represents, d, the truck has covered over h h
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!