Look at the image of the table of values below. Over which interval of x is the average rate of change the largest?
Look at the image of the table of values below. - 1

Answers

Answer 1
Answer:

Between 5 & 8.

\displaystyle {21-15\over 8-5} = 6/3 = 2 is the largest rate of change, differentiating from 5\over3 and 11\over6


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Explain the steps you would take to find the quotient of 1/3 divided 4/3

Answers

Answer: 1/4

Step-by-step explanation: Here, we have 1/3 ÷ 4/3.

Dividing by a fraction is the same

as multiplying by its reciprocal.

In other words, we can change the division sign

to multiplication and flip the second fraction.

So here, 1/3 ÷ 4/3 can be rewritten as 1/3 × 3/4.

Now we're simply multiplying fractions.

Before multiplying however, always try to cross-cancel.

Notice that we can cross-cancel 3 and 3 to 1 and 1.

So we now have 1/1 × 1/4.

Multiplying across the numerators

and denominators, we have 1/4.

Answer:

1/4

Explanation:

1/3 is the dividend while 4/3 is the divisor.

The quotient is the resulting number after the division is made.

1/3 divided by 4/3

Is the same as

1/3 x 3/4

This results in 3/12 which when simplified is 1/4

If each lap around a track is 400 meters long, how many laps equal 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048 meter)

Answers

Answer:

129.032258064516129

Step-by-step explanation:

Final answer:

To convert 3.1 miles into laps on a 400m track, we first convert miles to meters, getting approximately 4988.954 meters. Dividing by 400 meters per lap, we find the distance is approximately 12.5 laps.

Explanation:

The first step is to convert miles into meters, because the laps are measured in meters. There are approximately 1609.34 meters in a mile. So, 3.1 miles would be approximately 4988.954 meters (3.1 x 1609.34 = 4988.954).

As each lap is 400m, we can determine the number of laps by dividing the total distance in meters by the length of one lap. So, 4988.954 meters divided by 400 meters per lap gives us approximately 12.5 laps. Since we need to round to the nearest tenth, our final answer becomes 12.5 laps.

Learn more about Lap Conversion here:

brainly.com/question/35419529

#SPJ3

If f(x)=-5x^2-3x+4 what is the value of f(-1)
A:12
B:-2
C:2
D:-12
E:10

Answers

Answer:

C

Step-by-step explanation:

to evaluate f(- 1) , substitute x = - 1 into f(x)

f(x) = - 5x² - 3x + 4 , then

f(- 1) = - 5(- 1)² - 3(- 1) + 4 = - 5(1) + 3 + 4 = - 5 + 7 = 2

Find the value of x so that the function has the given value
f(x) = 4x -3; f(x) = 33

Answers

Answer:

x = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Algebra I

  • Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 3

f(x) = 33

Step 2: Solve for x

  1. Substitute:                    33 = 4x - 3
  2. Isolate x term:               36 = 4x
  3. Isolate x:                       9 = x
  4. Rewrite:                        x = 9

The supplement of an angle is six and a half times as large as the complement of the angle. What is the measure of the supplement angle to the nearest hundredth of a degree?A) 101.25°

B) 104.22°

C) 106.36°

D) 108.63°

Answers

Answer:

Step-by-step explanation:

Alright, lets get stared.

Suppose the angle is x.

So, supplement of that angle would be = (180-x)

So, complement of that angle would be = (90-x)

Given that, supplement of an angle is six and a half times as large as the complement of the angle.

(180-x)=6(1)/(2)(90-x)

180-x=6.5(90-x)

180-x=585-6.5x

6.5x-x=585-180

5.5x=405

x=73.64

Hence the angle is 73.64 degrees.

So the measure of its supplement angle would be = 180-73.64=106.36

Hence the answer is 106.36 degrees.    :  Answer

Hope it will help :)



Answer:

C) 106.36

Step-by-step explanation:

Let x be the given angle.

(180 − x) = 6.5(90 − x)

180 − x = 585 − 6.5x

5.5x = 405

x = 73.636°

The supplement angle to 73.64° is 106.36°.

The complement angle to 73.64° is 16.36°.

4/3 x −4 = 5 + x Help me please!A) 0.5
B) 2
C) 18
D) 27

Answers

Answer:

The answer is D.

Step-by-step explanation:

4/3 x - 4 = 5 + x

4/3 x = 9 +x

1/3 x = 9

x = 27

D) 27

4/3(27) - 4 = 32
27 + 5 = 32