What is the rate of change for the interval between 0 and 2 for the quadratic equation as f(x) = 2x2 + x – 3 represented in the table? (The table has this: Left side X and the options going down are -2, -1, 0, 1, 2. Right Side f(x) and the options going down are 3, -2, -3, 0, 7) THE ANSWER OPTIONS ARE: 1/5, 4, 5, 10

Answers

Answer 1

Answer: By definition the rate of change of a function is given by:
$AVR = (f(x2) - f(x1))/(x2 - x1)$
For the interval [0, 2] We have to make use of the table:
$f(0)=-3 f(2)=7$
Therefore, substituting values in the given expression we have that the average change of rate is given by:
$AVR = (7-(-3))/(2-0)$
Rewriting we have:
$AVR = (7+3)/(2-0)$
$AVR = (10)/(2)$
$AVR = 5$
Answer:
the rate of change for the interval between 0 and 2 is:
$AVR = 5$

Answer 2

Answer:

Answer:

Step-by-step explanation:

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3/5x -15=6/5x+12This is a problem my grandson had to complete. I do not know how to work it. can you show me step by step how to do it so I can hep him?

Answers

Simplify 35x to 3x5

3x5−15=65x+12

2. Simplify 65x to 6x5
3x5−15=6x5+12

3. Multiply both sides by 5
3x−75=6x+60

4. Subtract 3x from both sides
−75=6x+60−3x

5. Simplify 6x+60−3x to 3x+60
−75=3x+60

6. Subtract 60 from both sides
−75−60=3x

7. Simplify −75−60 to −135
−135=3x

8 .Divide both sides by 3
−1353=x

9. Simplify 1353 to 45
−45=x

10. Switch sides
x=−45

An airplane flies six hundred miles to the south; then, after landing and refueling, it flies due north for three hundred miles. What is the airplane's displacement? (Remember, displacement is a vector, so direction needs to be indicated in your answer).

Answers

Displacement =

   (distance between the start-point and the end-point)
in the direction of
   (direction from the start-point to the end-point).

For the entire story, the displacement is

   300 miles south .

If it's going 600 miles S, and 300 miles N, the displacement is 300 miles S

Two fair six sided dice are thrown.
Find the probability that both dice land on 6

Answers

Two dice ⇒ 6*6=36 possible results
Both dice land on 6 ⇒ 1 possibility

P=1/36

What is the value of x in the equation of 8x - 5 = 6x + 1

Answers

Answer:

Step-by-step explanation:

8x - 5 = 6x + 1

2x - 5 = 1

2x = 6

x = 3

Answer: X = 3

Step-by-step explanation: 8x - 5 = 6x + 1

+5 +5

8x = 6x + 6

-6x -6x

2x = 6

2x/2= 6/2

X = 3

Which phrases correctly describe the location of –34 on the number line?

Choose exactly two answers that are correct. A. to the right of –21 B. to the left of –63 C. to the left of –28 D. to the right of –35

Answers

A is wrong because -34 would be on the left of -21.

B is also wrong because -34 would be to the right of -63.

C is correct because -34 is to the left of -28

D is also correct because -34 is to the right of -35.

Factorize (4y-5)²+80y