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2 years ago

Factor completely: x^3 - x^2 - 6x

Mathematics

1 answer:

PSYCHO15rus [73]2 years ago

4 0

Answer:

$x(x-3)(x+2)$

Step-by-step explanation:

1. Find the GCF (Greatest Common Factor)

$GCF=x$

2. Factor out the GCF and simplify.

$x(x^{2} -x-6)$

3. Factor $x^{2} -x-6.$

Which two numbers add up to -1 and multiply to -6?

Rewrite the expression using the numbers above.

$(x-3)(x+2)$

4. Done!

$x(x-3)(x+2)$

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Greg has enough framing to enclose a rectangular photograph with a perimeter of 160 centimeters. If the width of his photograph

kotegsom [21]

Answer:

32cm

Step-by-step explanation:

Let the width be w. Now we know that the width is 16cm less than the length, this means that the length will thus have a total length of w + 16

Now, we know that the perimeter of a rectangle is 2(l + b)

This means 2(w + w + 16) = 160

4w + 32 = 160

4w = 128

w = 128/4 = 32cm

8 0

3 years ago

A baker has 3 eggs to use for making cakes. Each cake takes 5 eggs.

stepladder [879]

Answer:

Question 1 = 1 Question 2 = 2 no eggs remain because 2 eggs needed

Step-by-step explanation:

5 0

2 years ago

Which other expression has the same value as (-14) - 8?

Vladimir79 [104]

The answer is -22 because when you subtract -8 from -14 it gives you -22!

5 0

3 years ago

Triangle Review Last one (Math)

Anni [7]

Answer:

A=30

Step-by-step explanation:

Set your equation up as following:

180=90+(x+37)+(x+67)

180=90+37+67+2x

180-90-37-67=2x

-14=2x

-14/2=x

-7=x

Angle A = x+37

A=-7+37

A=30

5 0

3 years ago

Read 2 more answers

The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire?

pantera1 [17]

Answer:

The diameter is 22.92 inches

Step-by-step explanation:

Hello, I can help you with this question

in this case we know the circumference of a circle, and we need to find out the diameter.

let's remember

the radius of a circle can be defined as

$radius=\frac{diameter}{2}\\ or\\diameter=2* radius( equation\ 1)\\$

also

$circumference=2*\pi *radius(equation2)\\$

Step1

replace the value of the circumference of tyler's bike in equation 2 and isolate radius to find radius

$72 inches=2*\pi *radius\\\\radius=\frac{72}{2*\pi } \radius =11.46\ inches$

Step 2

now, replace the value of radius into equation 1 to find diameter

radius=11.46 in

$diameter=2* radius( equation\ 1)\\\\diameter=2*11.46\\diameter=22.92$

so, the diameter is 22.92 inches

I really hope it helps, have a great day.

5 0

3 years ago

Read 2 more answers