Answer:
Proven
Step-by-step explanation:
We prove the polynomial with factorization. We must first simplify the expression before we can factorize:



4 is the common number and we can take it out of the expression:

We can factorize further with the x term being zero. For this to be true we must have -2x and 2x to cancel out and therefore the expression is proven:

Answer:
4 lbs left after 5 days
Step-by-step explanation:
First, you need to step up an equation!
You know that Soomin has a total of 20 pounds and that she's using it, so you are going to use subtraction.
She uses 3 1/5 pounds per day so you write:
20 - 3 1/5x
and you know that she wants to know how much she has left after 5 days so you replace the x with 5:
20 - (3 1/5) * 5
Multiply first:
20 - 16
After Subtracting you get the answer:
4 lbs left
Answer:
Revenue = Members * (Cost Per Member)
R = (12.500 *8) =
R= 100.000
R = (12.500 - 500) ( 8 + 1)=
R=12000*9=
R=108.000
Step-by-step explanation:
Revenue = Members * (Cost Per Member)
R = (12.500 *8) =
R= 100.000
R = (12.500 - 500) ( 8 + 1)=
R=12000*9=
R=108.000
Where x represents the number of $1 increases
Where x represents the number of $1 increases
Answer:
<em>97.5 sq. ft.</em>
Step-by-step explanation:
Im presuming the question asks to find area of the shaded region.
First of all, the total figure is a rectangle. We can write an expression(in words) for the shaded area.
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
Now, we find respective areas.
Area of rectangle:
length * width = (5+10) * (12) = 15 * 12 = 180
Area of Small Triangle (white):
A = (1/2) * base * height = (1/2) * 5 * (12-3) = (1/2) * 5 * 9 = 22.5
Area of Large Triangle (white):
A = (1/2) * base * height = (1/2) * 10 * (12) = 60
Now, we find area of shaded region:
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
<em>Shaded Area = 180 - 22.5 - 60 = 97.5 sq. ft.</em>
Given :
Two equations :
-8x + 3y = -17 ....1)
3x - y = 7 ....2)
To Find :
The solution of the system.
Solution :
Multiplying equation 2) by 3 and adding with equation 1), we get :
(-8x + 3y) + 3(3x - y) = -17 + 21
x = 4
Putting above value of x equation 2) we get :
12 - y = 7
y = 5
Therefore, solution of system is ( 4,5 ).