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
harina [27]
3 years ago
8

Use these functions to answer the questions.

Mathematics
1 answer:
Elenna [48]3 years ago
4 0
Part A
We have f\left(x\right)=\left(x+3\right)^2-1. To solve for the x-intercept, we set f(x) equal to 0.  That is
     \left(x+3\right)^2-1=0

     \left(x+3\right)^2=1

Take the square root of both sides, 
     x+3=1

     x=-2

The x-intercept is (-2,0). 

To solve for the y-intercept, we set x=0. That is 
     y=\left(0+3\right)^2-1=3^2-1=9-1=8

The y-intercept is (0, 8) 

The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).

Part B.
We have g\left(x\right)=-2x^2+8x+3.
Factor out -2
     =-2\left(x^2-4x\right)+3

Complete the square
     =-2\left(x^2-4x+4\right)+3-2\left(4\right)

Simplify
     g(x)=-2\left(x-2\right)^2-5

Part C
We have h\left(t\right)=-16t^2+28t.
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo. 
     
    

You might be interested in
Factorise the following<br> problem:x^2+4x+4
alexdok [17]

Answer:

it's a remarkable identity :

(x+2)^2

4 0
2 years ago
Read 2 more answers
A newborn giraffe weighs about 65 kilograms.How much does it erigh in grams?
-BARSIC- [3]

Answer:


Step-by-step explanation:

To find the answer convert the amount kilograms you have to grams

8 0
3 years ago
10^3 I need some help can someone help please.
Taya2010 [7]

Answer:

1,000

Step-by-step explanation:

10³ is the same as saying 10×10×10

This is equal to 1,000

Hope that helps!

5 0
2 years ago
Read 2 more answers
Can someone please help me ASAP
Natasha2012 [34]
7^2 +6 ^2= 85
Square root of 85 = 9.219544457

Answer : 9.2
3 0
3 years ago
Read 2 more answers
Find the area of the circle. Round your answer to the nearest tenth.
Lyrx [107]

Answer:

254.47 to the nearest tenth is 254.5mm

Step-by-step explanation:

Hey! here's explanation:

A= π x r^2 (squared)

so A = π x 9mm^2

which gives you the answer of 254.47

TO THE NEAREST TENTH IS 254.5!

*hope this helps!*

6 0
3 years ago
Read 2 more answers
Other questions:
  • How do you find the angles on this special triangle?
    14·2 answers
  • For an investment of $26,245, a quarterly statement reports that the account balance is $26,292. The statement also reports that
    11·1 answer
  • The Average cost of a long distance call in the USA was 31 cents per minute in 1978 and 8 cents in 2008. Find the approximate pe
    10·1 answer
  • The average cost of an IRS Form 1040 tax filing at Thetis Tax Service is $157.00. Assuming a normal distribution, if 70 percent
    10·1 answer
  • 4 options but only 3 have sea views what fraction has sea view
    5·1 answer
  • Marshall Middle School is planning a field trip to see Romeo and Juliet at the local theater. The cost of a teacher ticket is $2
    5·1 answer
  • QUESTION 4
    15·1 answer
  • 3/10 1/2 common denominator
    15·2 answers
  • Please any math experts help. <br> Thank you,
    14·1 answer
  • What is the density of an object 8g /cm3 and mass is 200g
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!