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Mandarinka [93]
3 years ago
7

What is the distributive property of 8(y-7)=-16

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
8 0

Answer:

y=5

Step-by-step explanation:

8(y-7)= -16

(8)y-(8)7= -16

8y-56= -16

-16+56= 40

40/8= 5

y=5

(when you get y by itself)

hoped this helped a little bit.

Alex_Xolod [135]3 years ago
4 0

Step-by-step explanation:

\text{The distributive property:}\\\\a(b-c)=ab-ac\\\\8(y-7)=(8)(y)-(8)(7)=8y-56\\\\\text{If you want whole solution:}\\\\8(y-7)=-16\\8y-56=-16\qquad\text{add 56 to both sides}\\8y-56+56=-16+56\\8y=40\qquad\text{divide both sides by 8}\\\dfrac{8y}{8}=\dfrac{40}{8}\\\boxed{y=5}

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Which of the following statements is true about the function presented in the table?
Lynna [10]

Answer:

C. The slope of the function is -2 and the y-intercept is 4.

Explanation:

The y-intercept is the point when x = 0. On the table when x is 0, y is 4.

The slope of the function is -2 because the y value is going down by 2 for each +1 of x.

      x │ y

    -2 │ 8

     0 │ 4

  ↓ +1   ↓ -2

      1 │ 2

  ↓ +1   ↓ -2

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5 0
3 years ago
What is (x+6)(x+4)(x-3) expand and simplify
mestny [16]

Answer:

x³ + 7x² - 6x - 72

Step-by-step explanation:

Given

(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is

(x + 4)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) + 4(x - 3) ← distribute both parenthesis

= x² - 3x + 4x - 12 ← collect like terms

= x² + x - 12

Now multiply this by (x + 6) in the same way

(x + 6)(x² + x - 12)

= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis

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7 0
3 years ago
Gebra
Studentka2010 [4]

Answer: The answer is 1, 2

Step-by-step explanation:

5 0
3 years ago
Evaluate the expression. 1/2 - 4 (1/2 + 1)^2
insens350 [35]

Answer:

D. -17/2

Step-by-step explanation:

1/2 - 4 (1/2 + 1)^2

First we evaluate what is inside the parentheses

1/2 - 4  (3/2) ^2

Now we square what is inside the parentheses

1/2 - 4(9/4)

Now multiply

1/2 -9

Get a common denominator  9 = 9 *2/2 = 18/2

1/2 - 18/2

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6 0
4 years ago
Read 2 more answers
You are filling up a cylindrical tank with a radius of 5m with water at a rate of 3 cm^3/min. Unbeknownst to you the tank has a
Umnica [9.8K]

Answer:

dh/dt = 3/25π m/min

Step-by-step explanation:

Radius = 5m

Rate (dV/dt) = 3 cm^3 / min

Leaking rate = 1 cm^3 / min

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Differentiate volume implicitly with respect to time

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3 = 25π(dh/dt)

dh/dt = 3 m^3/min /25πm^2

dh/dt = 3/25πm/min

8 0
3 years ago
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