All categories

3 years ago

Find the average rate of change of f(x)=2x^2-7x from x=2 to x=5

Mathematics

1 answer:

m_a_m_a [10]3 years ago

3 0

Answer:

Step-by-step explanation:

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

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

Here [ a, b ] = [2, 5 ]

f(b) = f(5) = 2(5)² - 7(5) = 50 - 35 = 15

f(a) = f(2) = 2(2)² - 7(2) = 8 - 14 = - 6, thus

average rate of change = $\frac{15-(-6)}{5-2}$ = $\frac{21}{3}$ = 7

You might be interested in

G(x)=x^3-3x^2 ; Find g(2)

monitta

I hope this helps you

x=2

g (2)=2^3-3.2^2

g (2)=8-3.4

g (2)=8-12

g (2)=-4

4 0

3 years ago

Read 2 more answers

Given a right triangle with legs a, b and hypotenuse c, solve for b if a= 72 and c= 75

kotykmax [81]

Answer:

The answer is a. 21.

Step-by-step explanation:

We solve this question by using Pythagoras theorem to relate the sides of a right angled triangle.

Here,

Hypotenuse of the given triangle(c)=75

Two sides of right angled triangle are:

a=72

b=?

Then,

for a given right angled triangle abc,

Using Pythagoras theorem,

$c=\sqrt{a^{2} +b^{2} }$

Squaring on both sides,

$c^{2} =a^{2}+b^{2}$

or, $75^{2}=72^{2}+b^{2}$

or, $b^{2}=75^{2}-72^{2}$

or, $b^{2}=5625- 5184$

or, $b^{2} =441$

∴ $b=21$

So, the value of b is obtained to 21 by the use of Pythagoras theorem.

7 0

3 years ago

154×35= can you show work

DochEvi [55]

The way to solve it is to put the 154 on top of 35 and multiply it to get the answer, 154 times 35 = 5390

5 0

3 years ago

Read 2 more answers

At her job, Jesse. Earn 9 dollars and 50 cents per hour, she also earns a 60 dollar bonus every month. Jesse needs to earn at le

vichka [17]

Answer:

Jesse needs to work 43 hours in the month to make $400 and $60

work for answer: 9.50 x 43 = 408.5

example why it can't be lower or higher than 43 hours 9.50 x 42 = 399 or 9.50 x 44 = 418

7 0

3 years ago

Read 2 more answers

What does 100 × 30% equal I'm a bit confused

oksian1 [2.3K]

Answer:

Step-by-step explanation:

30% in a calculator is .3

if you multiply 100 by .3 you get 30

also multiplying a number by a percentage is just taking a percentage of that number. so 30% of 100 is 30.

3 0

3 years ago