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
Pavel [41]
3 years ago
6

I’m not sure how to do this

Mathematics
1 answer:
Brums [2.3K]3 years ago
5 0

Answer: lim as x → -5 of f(x) and g(x) = 300

               Domain of f(x) and g(x) is All Real Numbers

               f(-5) = 200

               g(-5) = 300

<u>Step-by-step explanation:</u>

The limit of f(x) as x approaches -5:

f(x) =\dfrac{4x^3+500}{x+5}\\\\\\.\qquad =\dfrac{4(x^3+125)}{x+5}\\\\\\.\qquad =\dfrac{4(x^3+5^3)}{x+5}\qquad \text{we can factor the cubic}\\\\\\.\qquad =\dfrac{4(x+5)(x^2-5x+25)}{x+5}\\\\\\.\qquad =4(x^2-5x+25)\\\\\\\text{as x approaches -5, f(x) = }4[(-5)^2-5(-5)+25]\\\\.\qquad \qquad \qquad \qquad \qquad =4(25 + 25 + 25)\\\\.\qquad \qquad \qquad \qquad \qquad =4(75)\\\\.\qquad \qquad \qquad \qquad \qquad =300

The limit of g(x) as x approaches -5:

g(x) = 4x² - 20x + 100

      = 4(-5)² - 20(-5) + 100

      = 100 + 100 + 100

      = 300

There is a restriction at x = -5 for f(x), however, that discontinuity has been filled with the 200 at x = -5. So the domain is ALL REAL NUMBERs.

There are no restrictions on x for g(x) so the domain is ALL REAL NUMBERs.

You might be interested in
Yea I am lost help me
IgorLugansk [536]

Answer:

I'm not sure bu I think the answer is 8 × x × 7 = 2

4 0
2 years ago
Read 2 more answers
Juliana bought 3 bags of chips for 0.85 each and 3 sodas for herself and two friends and spent exactly $6 (before tax.) write an
sineoko [7]
Answer: Cost of 1 soda = (Amount Juliana had- Cost of 3chips)/3

Step-by-step explanation: Cost of 3chips =$0.85×3= $2.55

Cost of 3 soda will be $6-$2.55
Cost of 1soda will be ($6-$2.55)/3

7 0
2 years ago
Somebody please help me on brainly :( and the links y’all keeping sending are not working so please just help me on brainly
dsp73

Answer:

  9 in

Step-by-step explanation:

For an n-sided polygon, the length of the apothem is ...

 a = r·cos(180°/n)

We assume your problem statement is saying the radius is 10 inches. For a hexagon, n=6 and we have ...

 a = (10 in)cos(30°) ≈ 8.66 in

Rounded to the nearest inch, the apothem is 9 in.

4 0
2 years ago
The measure of ∠P is five less than four times the measure of ∠Q. If ∠P and ∠Q are supplementary angles, find m∠P
Murljashka [212]

Answer:

m∠P = 143°

Step-by-step explanation:

We know that supplementary angles add up to 180, and with the knowledge that angle P is 5 times than 4 less (5x-4) the measure of angle Q (x), we can set up the equation (4x-5)+(x)=180. We can then solve and get x = 37, and then we can plug X back into 5x-4 to get the angle of 143 degrees.

8 0
3 years ago
10 girls go to see a chick flick together on a friday night at their local megaplex. they buy x large popcorns and y large fount
Natali [406]

Answer:

They had 4 large popcorn and 10 large fountain drinks

Step-by-step explanation:

The picture of the question in the attached figure

I think the price of the large popcorn is $7.50 and the price of the large fountain drink is $5.50 (The picture is not clear)

so

Let

x ----> the number large popcorns

y ----> the number of large fountain drinks

we know that

x+y=14 ----> equation A

7.50x+5.25y=85 ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (4,10)

see the attached figure

therefore

They had 4 large popcorn and 10 large fountain drinks

6 0
3 years ago
Other questions:
  • Can someone help me on this please? thanks
    14·2 answers
  • 1. A poll asked 15 teenagers their gender and whether or not they play basketball. The results are recorded in the table.
    14·1 answer
  • About 1.15 million people live in a circular region with a population density of about 18,075 people per square kilometer. Find
    6·1 answer
  • It is $3.00 an hour to rent a skateboard and $4.00 to rent safety equipment. You are required to wear safety equipment in the Sk
    13·1 answer
  • If tanθ = 4, what are possible values of cos(θ)?
    5·1 answer
  • Find the solution set.<br><br> The solution set for 5v2 – 125 = 0
    15·1 answer
  • 3/4 divided by 1/5 PLEASE ANSWER
    13·2 answers
  • All questions are in the photo :) (please no bot answers if it is answered its most likely a bot)
    11·1 answer
  • Can somebody please help me with this question and provide an explanation?
    10·2 answers
  • Gilyann got a new puppy for her birthday. She went to the pet store to buy what she needed for the puppy: a food dish for $7.95,
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!