MATHEMATICS MIDDLE SCHOOL

How to find the average rate of change for f(x)=2^x;[2,4]

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

The average rate of change over the interval $[a,b]$ for a function $f$ is $(f(b)-f(a))/(b-a)$ .

So the average rate of change for $f(x)=2^x$ on $[2,4]$ is:

$(2^4-2^2)/(4-2)=(16-4)/(2)=(12)/(2)=6$ .

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An investment of $27,000 was made by a business club.The investment was split into three parts and lasted for 1 year.The first part earned 8% interest,the second 6% and the third 9%.total interest from the investment was $2130.the interest from the first investment was three times the interest from the second find the amounts of the three parts of investments

Answers

Answer

Find out the amounts of the three parts of investments .

To proof

let us assume that first part of investment be = u

let us assume that second part of investment be = v

let us assume that third part of investment be = w

As given

An investment of $27,000 was made by a business club.The investment was split into three parts and lasted for 1 year.

than the equation is written in the form

u + v + w = 27000

.The first part earned 8% interest,the second 6% and the third 9%.total interest from the investment was $2130.

8% is written in the decimal form

$=(8)/(100)$

= 0.08

6% is written in the decimal form

$=(6)/(100)$

= 0.06

9% is written in the decimal form

$=(9)/(100)$

= 0.09

than the equation in the form

0.08u +0.06v +0.09w = 2130

equation written in the simple form

8u +6v +9w =213000

As given

the first investment was three times the interest from the second

u = 3v

Than the three equation in the form

u + v + w = 27000 , 8u +6v +9w =213000 , u = 3v

put this u = 3v in the equation u + v + w = 27000 , 8u +6v +9w =213000

than the equation

30v +9w + 213000

4v +w = 27000

multiply the 4v +w = 27000 by 9 and subtracted with 30v +9w + 213000

36v-30v +9w-9w =243000- 213000

6v = 30000

$v =(30000)/(6)$

v =$5000

put this in the equation

u =3v

u = 3× 5000

u= $15000

put the value u , v in the equation u + v + w = 27000

5000 + 15000 +w = 27000

w = $7000

than the three part be $5000, $15000,$7000

Hence proved

Meghan counted the candies she had in a jar. She discovered that half of the candies were red. If she had 50 red candies, in which equation does x represent the total number candies in the jar?

Answers

50x2=x

50 represents the red candies.

2 represents the other half of candies.

x represents the total amount of candies.

Hope this helps!

Cual es la mitad de 67

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the answer is 33.5 hope i helped

33.5 is half of 67. I hope that helps you.

Evaluate the expression for q=8.
7q

Answers

q=8

soo

7(8)=64

64 is the final answer.

Find the value of x.

Answers

Since this is a vertical angle, we can do this:

2+3x=62. Solve the equation:

3x=62-2

3x=60

x=20 is the answer.

Hope I helped!

~Potato

x is equivalent to 20

Evaluate. 47 + 2d, for d = 3

Answers

Final answer:

The problem evaluates the expression 47 + 2d, by substituting d = 3. This results in 47 + 2*3, which simplifies to 47 + 6. The final answer is 53.

Explanation:

This is a simple algebraic problem. The expression you're asked to evaluate is

47 + 2d

and you've been told to substitute

d = 3

. So substituting, we get 47 + 2*(3). The multiplication operation takes precedence according to the order of operations, so next we calculate 2*3 to get 6. Adding this to 47 gives us 53. Therefore, the solution to 47 + 2d, for d = 3, is 53.