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
vfiekz [6]
3 years ago
7

Consider the functions f(x) = x2 − 13 and g(x) = x + 5. What is the value of (f − g)(−4)? ...?

Mathematics
1 answer:
MakcuM [25]3 years ago
7 0
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

f(x) = x2 - 13 
g(x) = x + 5

<span>and are asked to compute "f-g" when x=-4. there are two ways of doing this. you can either first find f(-4) and g(-4) and then substract one from other like so:
</span>
<span>f(−4)=(−4<span>)2</span>−13=16−13=3
</span><span>g(−4)=−4+5=1

</span>f(−4)−g(−4)=3−1=<span>2
</span>
<span>or you can create a new function that represents "f-g", call it "h", and work out h(-4) as follows:
</span>
h(x)=f(x)−g(x)=(<span>x2</span>−13)−(x+5)=<span>x2</span>−13−x−5=<span>x2</span>−x−<span>18
</span><span>h(−4)=(−4<span>)2</span>−(−4)−18=16+4−18=2</span>
You might be interested in
Samantha wants to move into an apartment when she begins school in the fall. Right now she
kompoz [17]

Answer:

she should set up a budget on how much she makes

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Jose can paint an entire house in seven hours and brandon can paint the same house in eight hours. Write an equation that can be
guajiro [1.7K]

Answer:

t/8 + t/7 = 1

Step-by-step explanation:

Given in the question that,

time require for Jose to paint the house = 7 hours

time require for Brandon to paint the house = 8 hours

Suppose t means Full house painted.

<h3>To solve the question we have to figure out how much each of them can paint in ONE hour.</h3>

7 hours----t

1 hour ---- t/7

8 hours----t

1 hour ---- t/8

<h3>Equation</h3>

t/8 + t/7 = 1 (in one hour)

(7t + 8t)/8(7) = 1

15t/56 = 1

15t = 56

t = 56/15

t = 3.73 hours

5 0
3 years ago
Which expression is equivalent to 4 * 4 * 4 * 5 * 5?
jekas [21]

Answer:

the closests if 43 multiply by 25

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters.
puteri [66]

Answer:

volume = 13500 cm^{3}

Step-by-step explanation:

For a given pyramid, its volume can be determined by:

volume of pyramid = \frac{lwh}{3}

Where: l is the base length, w is the base width and h id the height of the pyramid.

For the given question, l 30 cm, w = 30 cm and h = 45 cm.

So that,

volume = \frac{30*30*45}{3}

            = \frac{40500}{3}

            = 13500

volume = 13500 cm^{3}

The volume of the pyramid is 13500 cm^{3}.

6 0
3 years ago
In 2010, the national debt of the United States was about 14 trillion dollars. In 2003 it was about 7 x 10 to the 12 dollars. Ab
maxonik [38]
Okay. 10^12 is 1 trillion. 1 trillion * 7 is 7 trillion. 14 trillion / 7 trillion is 2. The national debt in 2010 is two times larger than in 2003. So that basically means that the national debt doubled from 2003 to 2010.
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the best first step for solving the equation 5 = 3x - 4? a. Add 4 to both sides of the equation. b. Subtract 4 from both
    7·1 answer
  • The diameter of a dome is 28 inches. What is the volume? Leave in terms of pi.
    6·1 answer
  • What's two ways that are alike for the like fractions
    13·1 answer
  • Which interval for the graphed function contains the local maximum?
    5·1 answer
  • (1.005)<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20400" id="TexFormula1" title="x^{2} 400" alt="x^{2} 400" align="absmiddle"
    11·2 answers
  • Lia has $24. Lia and her brother together have a total of $45. The solution of the equation 24 + x = 45 is the amount of money,
    5·2 answers
  • Prove that the product of any two consecutive natural numbers is even.
    14·1 answer
  • A Ferris wheel can accommodate 70 people in 15 minutes. How many people could ride the Ferris wheel in 2 hours? What was the rat
    13·1 answer
  • Find the area of the shape shown below.
    15·1 answer
  • translate this into an equation, use n for the number: "the different of 3 times a number and 6 is twice the number."
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!