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Answers

Answer 1
Answer:

Answer:

  the correct answer is marked (1/2)

Step-by-step explanation:

The average rate of change is the slope of the line between the two points at the ends of the interval.

  m = (g(3) -g(-4))/(3 -(-4))

The values of the function we need are ...

  g(3) = 5/(3-1) +2 = 2.5 +2 = 4.5

  g(-4) = 5/(-4-1) +2 = -1 +2 = 1

So, the slope is ...

  m = (4.5 -1)/7 = 3.5/7 = 1/2

The average rate of change is 1/2.

_____

On the attached graph, that value shows up as the coefficient of x in the equation of the line through the two points.


Related Questions

Please answer this correctly
(c) In how many way we can list the digits{1,1,2,2,3,4,5}so that notwo identical digit are in consecutive positions?
Dr. Smith wants to use only students with "normal" IQ in his experiment. He defines "normal" as anyone who scores in the middle 50% of IQ scores. Using this rule, what will be the lowest IQ score that could be included in the study and what would be the highest IQ score that could be included in the study? You know that the population of IQ scores are normally distributed, have µ = 100, and have σ = 15. (1 point)
The radius of a circle is 10.7 m. Find the circumference to the nearest tenth.
Let g(x) = 3x + 7 and h(x) = x + 8.(hog)(x)

Solve the inequality. 12x<-144

Answers

Answer:

Step-by-step explanation:

x=-12

Answer:

x= -12

Step-by-step explanation:

Please Help Me Thanks!​

Answers

Answer:

No solution

Step-by-step explanation:

add 3 both side

\sqrt{x-4}=-2

11/5 divided by 51/4 equals

Answers

When 11/5 is divided by 51/4 then the quotient will be equal to 44/255.

To divide two fractions, multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, to calculate (11/5) ÷ (51/4), we can do the following:

(11/5) ÷ (51/4)

= (11/5) × (4/51)

Now, multiply the numerators and denominators:

Numerator: 11 × 4 = 44

Denominator: 5 × 51 = 255

Therefore, (11/5) ÷ (51/4) = 44/255.

Hence, when 11/5 divided by 51/4 equals to 44/255.

To learn more on Division click:

brainly.com/question/21416852

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Answer:

44/255

Step-by-step explanation:

Since you you are dividing fraction you have to multiply by the reciprocal.

11/5 x 4/51

11 x 4 = 44

51 x 5 = 255

= 44/255

Find the equation of the line shown

Answers

Answer:

y = x + 1

Step-by-step explanation:

find slope (y2-y1)/(x2-x1)

pick 2 points (0,1) and (1,2)

(2-1)/(1-0) = 1/1 = 1

Since (0,1) you know that y intercept is 1

the equation in slope intercept form: y = x + 1

Solve the following inequality for k. Write your answer in simplest form.4k + 2(3k + 8) <3k + 10 – 8

Answers

Answer:

k < -2

Step-by-step explanation:

Step 1: Write inequality

4k + 2(3k + 8) < 3k + 10 - 8

Step 2: Solve for k

  1. Distribute: 4k + 6k + 16 < 3k + 10 - 8
  2. Combine like terms: 10k + 16 < 3k + 2
  3. Subtract 3k on both sides: 7k + 16 < 2
  4. Subtract 16 on both sides: 7k < -14
  5. Divide both sides by 7: k < -2

Answer:

10k+16<3k+2

10k-3k+16<2

7k<2-16

k<-2

Translate the sentence into an equation using n as the unknown number. Then solve the equation for n. Round to the nearest hundredth if necessary. The quotient of a number divided by 6 is 3.5.

Answers

Answer:

(n)/(6)=3.5

n= 21

Step-by-step explanation:

The equation is simple, you just have to reason the sentence, the quotient of a number, this means that the result of the division is 3.5, and the number has to be divided by 6, so the equation would end up looiking like this:

(n)/(6)=3.5

As 6 is dividing and you want to clear N, you just put it on the other side of the equation multiplying, and you end up with this:

n=6(3.5)

n=21

So your answer for this equation would be n= 6.

n/6 = 3.5
Multiply both sides by 6.
n = 21