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masya89 [10]
3 years ago
11

One of the factors of 6x3 − 864x is A. 4 B. X^2 C. X + 12 D. X - 8

Mathematics
2 answers:
erastova [34]3 years ago
8 0
The answer is C. X+12
Anna71 [15]3 years ago
4 0

Consider the expression 6x^3-864x. This expression consists of two terms: 6x^3 and -864x.

These two terms have common factors 6 and x, because:

  • 6x^3=6x\cdot x^2;
  • -864x=6x\cdot (-144).

Then

6x^3-864x=6x(x^2-144).

You know that 144=12^2. Use the formula for the difference of squares:

x^2-144=x^2-12^2=(x-12)(x+12).

Therefore,

6x^3-864=6x(x-12)(x+12).

Answer: correct choice is C.

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What is the equation of Ceres’ elliptical orbit in standard form?
erik [133]

Answer:

I'm on the same problem! Search it up

Step-by-step explanation:

3 0
2 years ago
If Randy sells 8 times as many vacuum cleaners as Janice, and Janice sells 690 vacuum cleaners per year, on average, how many do
drek231 [11]

Randy sells, in average, 460 vacuum cleaners per month.

<h3>How many vacuum cleaners does Randy sell each month?.</h3>

First, we know that Janice sells 690 units per year.

There are 12 months in a year, so the amount that she sells, in average, per month is:

J = 690/12 = 57.5

This means that Janice sells, in average, 57.5 units per month. And Randy sells 8 times as many, then we can solve the product:

R = 8*57.5 = 460

This means that Randy sells 460 units per month.

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7 0
2 years ago
Rose bought 7/20 of candy and 0.4 killogram of fruit which did she buy more of explain your answer
Juliette [100K]

Simplify 7/20 to decimals by dividing.

7 divided by 20= 0.35

Rose bought 0.35 kilograms of candy and 0.4 kilograms of fruit.

So, she bought more fruit, since 7/20 is less than 0.4.

I hope this helps :)

6 0
3 years ago
On a map, the scale shown is 1 inch: 20 miles. If a city is 900 square miles, what is the area of the city on the map?
WITCHER [35]

Answer:

2.25 square inches

Step-by-step explanation:

we know that

The scale is 1\ inch: 20\ miles

That means

1 inch on a map represent 20 miles in the city

so

An area of (1)(1)=1\ in^2 on a map represent an area of (20)(20)=400\ mi^2 in the city

Applying proportion

\frac{1}{400}\ \frac{in^2}{mi^2}=\frac{x}{900}\ \frac{in^2}{mi^2}\\\\x=900/400\\\\x=2.25\ in^2

3 0
3 years ago
What is the slope of the line (9,-6) and (-6- -9)?
Vlada [557]

Answer:

1/5

Step-by-step explanation:

Slope formula = (y2-y1)/(x2-x1)

((-6)- (-9))/ ((9)-(-6)

(-6 + 9)/ (9 + 6)

3/15

1/5

6 0
3 years ago
Read 2 more answers
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