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3 years ago

What is the average rate of change for this quadratic function for the interval from x =3 to x = 5

Mathematics

1 answer:

Mrrafil [7]3 years ago

5 0

Answer:

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

here [ a, b [ = [ 3, 5 ]

From the table

f(b) = f(5) = - 26

f(a) = f(3) = - 10

Hence average rate of change

= $\frac{-26-(-10)}{5-3}$ = $\frac{-16}{2}$ = - 8 → A

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Circle A has center of (4, 6) and a radius of 5, and circle B has a center of (1, 0) and a radius of 15.What steps will help sho

melisa1 [442]

Answer:

Dilate circle A by a scale factor of 3.

Step-by-step explanation:

Generally, similar figures have sides in the same ratio

3(5) = 15

When dilate A by factor 3, it will look exactly like B

4 0

2 years ago

Read 2 more answers

The value of a car reduces by 30% every 6 months. A car costs $15,000 when new. What is the value of the car after 2 years?

Allisa [31]

6 months goes into 2 years 4 times
30 x 4 = 120
120% of 15,000 is
100% is 1,500
10% is 150
150 x 2 = 300 (20%)
1,500+300=1,800
15,000+1,800=16,800
hope this helped

3 0

2 years ago

Storage tubs were stacked against a wall.The tubs are unit cubes.The tubs are stacked three tubs wide, and two tubs tall

Blizzard [7]

Answer:

6 cubic units

Step-by-step explanation:

step 1

Find the total number of storage tubs

Multiply three tubs wide by two tubs tall

$(3)(2)=6\ storage tubs$

step 2

Find the total volume of storage

we know that

One storage tub is a unit cube

That means ----> The volume of one storage tub is one cubic unit

Multiply by 6 storage tubs

$(1)(6)=6\ units^3$

5 0

2 years ago

The coefficient of x^ky^n-k in the expansion of (x+y)^n equals (nk). True or false.

AVprozaik [17]

Answer:

The correct option is;

False

Step-by-step explanation:

The coefficient of x^k·y^(n-k) is nk, False

The kth coefficient of the binomial expansion, (x + y)ⁿ is $\dbinom{n}{k} = \dfrac{n!}{k!\cdot (n-k)!} = C(n,k)$

Where;

k = r - 1

r = The term in the series

For an example the expansion of (x + y)⁵, we have;

(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵

The third term, (k = 3) coefficient is 10 while n×k = 3×5 = 15

Therefore, the coefficient of x^k·y^(n-k) for the expansion (x + y)ⁿ = $C(n,k)$ not nk

7 0

2 years ago

The number 430,290,100 in expenden form

Bond [772]

Answer:

400,000,000+30,000,000+200,000+90,000+100

3 0

2 years ago