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3 years ago

How to simply 4 (2x)^3

1 answer:

3 0

Remember the order of operations. The first step in this problem will be to solve the exponent.

Take (2x)^3. Remember that since there are parentheses around 2x, that means you have to cube 2 and x.

(2x)^3 = 2^3 * x^3 = 8x^3

Now multiply that answer by 4 to finish simplifying.

8x^3 * 4 = 32 x^3

Your answer should be: 32x^3

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What is the slope of a line that is perpendicular to the line whose equation is ax+by=c?

Oksi-84 [34.3K]

The perpendicular line will have a slope of b/a.

To find this, we first have to solve our equation for slope intercept form.

ax + by = c ----> subtract ax

by = -ax + c ----> divide by b

y = -a/bx + c/b.

So we know the slope of this equation to be -a/b. Since perpendicular lines have opposite and reciprocal slopes, we know we can simply flip the fraction and make it a negative to get the new slope of b/a.

6 0

3 years ago

1. An online bank statement reads as follows: Account balance: $986.2 Car payment: $203.3 Gas bill: $96.67 Check deposit: $1289.

Lady_Fox [76]

986.2-203.3-96.67+1289.6 +45 - 67.12 - 30 = 1923.71

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3 years ago

Read 2 more answers

A line segment with endpoints (-4,5) and (-2,2) is reflected about the y-axis. Write the coordinates of the endpoints after the

LUCKY_DIMON [66]

When reflection goes about y-axis, the x coordinate changes into its opposite.
(-4,5)---->(4,5)
(-2,2)----->(2,2)

8 0

3 years ago

8 slices of pizza and 5 sodas cost $36.50. 4 Slices of pizza and 10 sodas cost $37. How much does a slice of pizza cost? How muc

LiRa [457]

Step-by-step explanation: If we use the variable p to represent our pizzas and s to represent our sodas, if our first equation states than 8 slices of pizza and 5 sodas cost $36.50, that's 8p + 5s = 3650.

Notice that I expressed cost in terms of cents so

that we can avoid having to deal with decimals.

In our second equation, 4 slices of pizza and

10 sodas cost $37, that's 4p + 10s = 3700.

Now let's rewrite our two equations on top of one another.

8p + 5s = 3650

4p + 10s = 3700

To solve this system of equations, I would use addition.

I would multiply the bottom equation by -2

to create a situation where our p's will cancel.

When we do that, we get -8p - 20s = -7400.

Now rewrite the equations once again ~

8p + 5s = 3650

-8p - 20s = -7400

Now add the equations together.

So we have -15s = -3,750.

Divide both sides by -15 and s = 250.

Remember that I expressed cost in terms of cents so

since s = 250, it really means that a soda is $2.50.

Now just plug an s back in for the s in one equation.

When we do this, we find that p = 300.

So a pizza is $3.00

6 0

3 years ago

-x+y+z=-1 -x+4y-5z=-16 5x-4y-7z=0

ehidna [41]

Answer:

Step-by-step explanation:

3 0

3 years ago