Which of the following represents the factorization of the binomial below ? x^2 - 144

Answers

Answer 1
Answer:

It factors to (x+12)(x-12)

This is the same as (x-12)(x+12) as we can multiply two expressions in any order we want. This is like saying 7*5 is the same as 5*7

I used the difference of squares rule to factor x^2 - 144. It might help to write x^2 - 144 as x^2 - 12^2, then compare it to a^2 - b^2 = (a-b)(a+b)


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An author is having a book signing at a store. He agrees to give 5% of his profit to literacy programs and 15% of his profit to his manager. If he makes a profit of $200.00, how much of his profit does he take home?

Answers

The profit of the author will be $160.

What is profit?

When we sell any product above its cost price then there will be a profit. It is given that An author is having a book signing at a store. He agrees to give 5% of his profit to literacy programs and 15% of his profit to his manager. If he makes a profit of $200.

First, you add 15%+5% which equals 20%.

Second, you find 20% of $200. You turn 20% into a decimal, which is 0.20. Then multiply 200 times 0.20. which is 40. $40 is the amount the author gave away.

Third, you subtract 200-40 which equals $160. He takes home $160.

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First, you add 15%+5% which equals 20%.

Second, you find 20% of $200. You turn 20% into a decimal, which is 0.20. Then multiply 200 times 0.20
which is 40. $40 is the amount the author gave away.

Third, you subtract 200-40 which equals $160. He takes home $160.

Hope that helped! :)

How many grams are equivalent to 37 milligrams

Answers

37 grams = 0.037 mg.
0.073 is your answer .

The library is located 1.8 miles west of Callie’s house. The grocery store is located 2.4 miles south of the library. What is the length of a straight line between Callie’s house and the grocery store?

Answers

Hello!

A good way to solve this is by using the Pythagorean Theorem, where the distance between the grocery store and Callie's house is the hypotenuse of the triangle.

The two legs we are given, 1.8 and 2.4 will represent a and b in the Pythagorean Theorem. 

a²+b²=c²

First we have to find 1.8 and 2.4 squared. 

1.8²=3.24
2.4²=5.76

If we add these answers, we will get 9. This is c². But to find just c, we will undo the square by using the square root.

√9=3.

This means that the length of a straight line from Callie's house to the grocery store is 3 miles.

I hope this helps!

a cable 21 feet long runs from the top of a utility pole to a point on the ground 8 feet from the base of the pole. how tall is the utility pole?

Answers

13 feet 

if the cable ran the length of the pole and then had an extra 8 feel from the base of the pole, then just subtract 8 from 21 , you will get 13


Find the axis of symmetry and the vertex of the graph of f(x) = -5x^2 +20x -9.

Answers

Answer:

Axis of Symmetry:

x=2

Vertex:

(2,11)

Step-by-step explanation:

Finding the derivative:

f'(x)=-10x+20

Setting the slope equal to zero:

-10x+20=0      x-2=0    x=2

Finding vertex:

f(2)=-5*(2)^2+20*2-9

=-20+40-9=20-9=11

(2,11)

What is the ratio of x to y?
2 x
---- = --------
3 3x+y

Answers

so 2/3=x/(3x+y)
multiply both sides by 3x+y
(2(3x+y))/3=x
(6x+2y)/3=x
multiply by 3
6x+2y=3x
subtract 6x form both sdies
2y=-3x
-3x=2y
the ratio of x to y is
-3:2