All categories

3 years ago

Please help, will grant brainliest if correct, need now!!

Mathematics

1 answer:

Mama L [17]3 years ago

3 0

Answer:

- 7

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 ] = [ - 5, - 2 ]

f(b) = f(- 2) = (- 2)² - 4 = 4 - 4 = 0

f(a) = f(- 5) = (- 5)² - 4 = 25 - 4 = 21, thus

average rate of change = $\frac{0-21}{-2-(-5)}$ = $\frac{-21}{3}$ = - 7

You might be interested in

Mr. Ray wanted to measure the height of a light post. He placed a mirror on the ground 32 feet from the light post, then walked

ryzh [129]

Answer:

Option (2) is the answer.

Step-by-step explanation:

From the figure attached,

AB represents the length of Mr. Ray, ED represents the light post and the mirror was placed at point C.

Here AB = d = 6 feet

CD = w = 32 feet

BC = f = 9 feet

Since both the triangles ABC and EDC are similar, their corresponding sides will be in the same ratio.

$\frac{AB}{DE}=\frac{BC}{CD}$

$\frac{6}{h}=\frac{9}{32}$

h = $\frac{6\times 32}{9}$

h = 21.33 feet

h ≈ 21.3 feet

Therefore, height of the light post is 21.3 feet.

Option (2) is the answer.

7 0

2 years ago

The points (–2, 4) and (–2, –2) are vertices of a heptagon. Explain how to find the length of the segment formed by these endpoi

Scrat [10]

Answer:

The segment is 6 units long.

Step-by-step explanation:

The points (–2, 4) and (–2, –2) are vertices of a heptagon. We have to explain how to find the length of the segment formed by these endpoints.

If two points at the ends of a straight line PQ are P( $x_{1},y_{1}$ ) and Q( $x_{2},y_{2}$ ), then the length of the segment PQ will be given by the formula

$\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}$

Now, in our case the two points are (-2,4) and (-2,-2) and the length of the segment will be

$\sqrt{(- 2 - (- 2))^{2} + (4 - (- 2))^{2}} = 6$ units. (Answer)

5 0

3 years ago

Read 2 more answers

Simon is going on a diet. He must consume less than 1,200 calories per day to meet his weightloss goal. If each granola bar cont

irina [24]

Answer:

8 bars

Step-by-step explanation:

1,200÷150=8

Have a wonderful day!

6 0

2 years ago

Read 2 more answers

BIG IDEAS MATH #9 i Find the value of x. 110x² А. 20x X =

natka813 [3]

90 + 20x + 10x = 180
30x = 90
x = 3

6 0

2 years ago

Complete the following invoice for upholstery fabric.

Degger [83]

Answer:

a) $49.48

b) $220921.91

Step-by-step explanation:

(a) 4 yd @ $12.37 per yd = 4 x $12.37 = $49.48

(b) 271 yd @ 815.21 per yd = 271 x $815.21 = $220921.91

(c) 20% yd @ $4.95 per yd : Here the nunber of yards are missing. Hence could not be answer . However if number of yards is x . The answer would be

20% of 4.95x

(20%=0.20)

0.20 × 4.95x

8 0

3 years ago