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3 years ago

Help Please.. Factor the following as the sum of two cubes. 8000 + a^3

1 answer:

vladimir2022 [97]3 years ago

7 0

Hello :
8000 = 8 ×1000 = 2 ^3 ×10^3 = 20 ^3
note; identity b^3 +a^3 = (a+b) (a²+b² - ab)
in this exercice : b=20
so : 8000+b^3 = (a+20)(a²+400 - 20a).... Factor the following

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A car starts a journey with a full tank of gas. The equation y=16 - 0.05x relates the number of gallons of gas, y, left in the t

mr_godi [17]

A. The y-intercept is y = −0.05 x + 16 and the x-intercept is x = −20y + 320

B. The x-intercept represents the number of miles the car has traveled.

C. The y-intercept represents the number of gas in gallons.

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3 years ago

Suppose y varies directly as x, and y=14 when x=4. What is the value of y when x=9

Katena32 [7]

Given :-

y varies directly as x, and y=14 when x=4.

To Find :-

the value of y when x=9 .

Solution :-

According to Question ,

y = kx ( k is constant )

When y = 14 and x = 4 ,

14 = k(4)
k = 14/4
k = 7/2

When x = 9 ,

y = 7/2*9
y = 63/2
y = 31.5

8 0

3 years ago

Drag each expression to show whether it is equivalent to 36x + 9, 9(4x – 1), or (4 • 9x) + (4 • 2).

lora16 [44]

In order to find out what 36x + 9 is equivalent to,, we must factor out 9 from the expression. Once we do this you will find that this expression is equivalent to 9(4x + 1),, or option E.
Next we will look at the expression 9(4x -1). In order for us to find out the equivalent to this expression,, we must first multiply each term in the parenthesis by 9.
9 × 4x - 9
Now calculate the product
36x - 9
This means that the equivalent for this expression is 36x - 9,, or option A.
Lastly,, we will look at the final expression given which is 4(9x + 2). The first step for finding the equivalent of this expression is to multiply the numbers in the first parenthesis together.
(36x) + (4 × 2)
Now multiply the numbers in the second parenthesis together.
(36x) + 8
Remove the parenthesis
36x + 8
Now factor out 4 from the expression to get your final answer.
4(9x + 2)
This means that the last expression is equivalent to 4(9x + 2),, or option C.
Let me know if you have any further questions
:)

3 0

3 years ago

15 = x + 4 whats the answer

stealth61 [152]

Answer:

Step-by-step explanation:

15-4 = x

15-4 = 11

x = 11

to isolate x, you move 4 to the other side and it becomes 15-4 = x

4 0

3 years ago

A 15 pound bag of candy cost $9.99. How much does 1 pound of candy cost? How do you know? Make sure to show all work and answer

Law Incorporation [45]

All you would do is divide 9.99/15 to get how much one pound costs.

The answer would be around 66 or 67 cents.

9.99/15=.666

5 0

3 years ago

Read 2 more answers