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
Luden [163]
3 years ago
8

These tables represents a quadratic function with a vertex at (0,3) what is the average rate of change for the interval from x=8

to x=9

Mathematics
1 answer:
goblinko [34]3 years ago
6 0

There are a few ways to do it; the easiest is just to follow the pattern of taking away two from the average.

The next lines of the table are

6 to 7  -13

7 to 8   -15

8 to 9   -17

Answer: C. -17

Let's find the equation and do it that way.

We have a vertex at (0,3) so we can fill out the vertex form a bit.  In general for vertex (p,q) it's

y = a(x-p)^2+q

We have

f(x) = ax^2 + 3

f(1) = 2

a+3 =2

a = -1

So we found our equation,

y = -x^2 + 3

Let's check it at x=5, y=-5^2+3=-25+3=-22, good

We want the rate of change from 8 to 9, which is

r = \dfrac{f(9)-f(8)}{9-8}=f(9)-f(8)=-9^2 - -8^2 = -17

Answer: -17 again, that checks

You might be interested in
HELPP PLZ DONT SEND A FILE WHATS THE ANWERS ASAP
Archy [21]

Answer: 2450.44 ft

Step-by-step explanation:

Formula for SA of a cylinder: A=2*pi*r*h+2*pi*r^2

Formula for radius: diameter/2

Plug height, 17, radius, 13, and pi, 3.14, into the formula above.

= 2450.44 ft

3 0
3 years ago
Ling drove at speed of 45 Miles per hour for 225 miles. How many hours did she drive?
oksian1 [2.3K]
225 miles / 45 miles/hr = 5hr
3 0
3 years ago
Barney and Joan sold birdhouses at a yard sale. They sold the large birdhouses for $12.00 each and the small birdhouses for $8.7
LekaFEV [45]

the answer is 26 large and 61 small

5 0
3 years ago
Is the<br> statement (-1)n = -1 true for any positive integer n? Explain.
Rashid [163]

Answer:

it has to equal -1 x= to -1 parenthesees

1 times -1= -1 its true for that 1 answer but not the others

7 0
3 years ago
Please help with this and explain how to do it, I'll give 15 points
MrRissso [65]

Answer:

Option (4).

Step-by-step explanation:

Outer diameter of the hollow metallic ball = 10 centimeters

Outer radius of this ball = \frac{10}{2} = 5 cm

Volume of the outer ball V_{1} = \frac{4}{3}\pi (r)^3

                                         = \frac{4}{3}\pi (5)^3

Inner radius of the hollow metallic ball = (5 - 1) = 4 cm

Volume of the inner hollow ball V_{2} = \frac{4}{3}\pi (4)^3

Volume of the metal used in the metallic ball = V_{1}-V_{2}

                                                                           = \frac{4}{3}\pi (5)^3-\frac{4}{3}\pi (4)^{3}

                                                                           = \frac{4}{3}\pi [(5)^3-(4)^3]

Therefore, expression given in option (4) will be used to measure the volume of the hollow metallic ball.

8 0
3 years ago
Other questions:
  • A recipe includes 6 cups of flour and three fourths 3/4 cup of buttermilkbuttermilk. Write the ratio of the amount of flour to t
    12·1 answer
  • How does this work??
    8·1 answer
  • What is a division problem that can be represented by 4/3
    15·1 answer
  • Help solve this pls ASAP
    8·1 answer
  • Between which 2 whole numbers does the cube root <br>1113 lie?​
    12·1 answer
  • 20 is 80% of what number?
    10·2 answers
  • I need someone to help me Simplify 7(3n)
    12·1 answer
  • There are 4 second grade classrooms that share 15 packs of paper. How much paper should each classroom get?
    5·1 answer
  • Find the area of this rectangle.<br> 8 cm<br> 4 cm<br> ? ] = square centimeters
    15·2 answers
  • Help me rn pleasee !!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!