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zhuklara [117]
3 years ago
6

What is the average rate of change of y with respect to x over the interval [-3, 4] for the function y = 2x + 2

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0

Answer:

y = 2x + 10

Step-by-step explanation:

y1 = 4

x1 = -3

slope,m = 2

y - y1 = m(x - x1)

y - 4 = 2(x + 3)

y - 4 = 2x + 6

y = 2x + 10

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Explain how you would find 45 x 7/9 mentally.
Novosadov [1.4K]
You would do 45 divided by 9 which is 5. Then you do 5x7= 35 and that's your answer
3 0
2 years ago
Write an equation perpendicular to x = 5 that passes through the point (-4,3)
Neporo4naja [7]

Answer:

y-y1=m(x-x1)

y-3=5(x+4)

y-3=5x+20

y-5x+3+20=0

y-5x+23=0

7 0
2 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
brilliants [131]
First set up a proportion because they are similar triangles:
9/3x-20 = (72+9)/(56+3x-20)
9/3x-20 = 81/3x+36
9(3x+36) = 81(3x-20)
27x+324 = 243x-1620
1944 = 216x
x = 9
4 0
3 years ago
Read 2 more answers
What is the conjecture of 1, 8, 27, 64, __, __, __, __, __, what is the pattern?
NikAS [45]

Answer:

The pattern = 1³, 2³ 3³, 4³, 5³, 6³, 7³, 8³, 9³,

The answer = 1, 8, 27, 64, 125, 216, 343, 512, 729,

Step-by-step explanation:

what is the pattern?

We are given the following sequence:

1, 8, 27, 64, __, __, __, __, __,

Observing the sequence above, for every consecutive natural number

x, x + 1, x + 2, x + 3.......

The above pattern is : the cube of every consecutive natural number. That is: x³, (x + 1)³, (x + 2)³, (x + 3)⁴

1, 8, 27, 64, __, __, __, __, __,

= 1³, 2³ 3³, 4³, 5³, 6³, 7³, 8³, 9³,

Hence, the answer

1, 8, 27, 64, 125, 216, 343, 512, 729,

8 0
3 years ago
Part A: Describe the solution(s) to 9x² - 36x + 36 = 0 by just determining the radicand. Show your work. (10 points) Part B: Des
Alik [6]

The solution to the equations are:

  • 9x² - 36x + 36 = 0 has two equal real solutions
  • x² - x + 4 = 0 has no real solutions
  • The factored expression of 4x² + 23 – 35 is 4(x² -3)

<h3>Part A: Describe the solution</h3>

The equation is given as:

9x² - 36x + 36 = 0

The above equation is a quadratic equation which can be represented as:

ax² + bx + c = 0

The discriminant (d) is calculated as:

d = b² - 4ac

So, we have:

d = (-36)² - 4 * 9 * 36

d = 0

A discriminant of 0 means that the equation has two equal real solutions

Hence, 9x² - 36x + 36 = 0 has two equal real solutions

<h3>Part B: Describe the solution</h3>

The equation is given as:

x² - x + 4 = 0

The above equation can be represented as:

ax² + bx + c = 0

The discriminant (d) is calculated as:

d = b² - 4ac

So, we have:

d = (-1)² - 4 * 1 * 4

d = -15

A discriminant of -15 means that the equation has no real solutions

Hence, x² - x + 4 = 0 has no real solutions

<h3>Part C: The solution to the expression</h3>

We have:

4x² + 23 – 35

Evaluate the difference

4x² -12

Factor out 4

4(x² -3)

Hence, the factored expression of 4x² + 23 – 35 is 4(x² -3)

Read more about quadratic expressions at:

brainly.com/question/10449635

#SPJ1

7 0
2 years ago
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