Factor by grouping: 6x2 + 3x + 20x + 10.
This is a polynomial written with four terms that don't have a single common factor among them. However, the first two terms have a common factor (3x), and the last two terms have a common factor (10). This situation doesn't answer all of our wildest factoring dreams, but we'll take it.
By pulling out the common factors for each pair of terms, we can rewrite the original polynomial like this:
3x(2x + 1) + 10(2x + 1)
These two terms now have a common factor of (2x + 1). Seems like we should be able to do something with that information, don't you think? In fact, we can pull out this common factor and rewrite the polynomial again:
(3x + 10)(2x + 1)
Answer:
<u>A. 20.86 square inches</u>
Step-by-step explanation:
a)
We know that the formula for the area of a rectangle is Length x Height (A = LH).
Length (L) = 6 inches
Height (H) = 4 inches
So we incorporate our formula for the area of a rectangle into this situation:
Area (A) = 6 x 4
Area (A) = 24 in^2
b)
We know that the formula for the area of a circle is Pi x radius squared (A = πr^2).
Radius (r) = 1 inch
So we incorporate our formula for the area of a circle into this situation:
Area (A) = 3.14 x 1^2
Area (A) = 3.14 in^2
c)
We can see from the diagram that the shaded region come mainly from the rectangle. So to find the area of the shaded part, we can simply subtract the area of the circle, from the area of the rectangle (Area of rectangle - Area of circle = Area of shaded region).
Area of rectangle = 24 in^2
Area of circle = 3.14 in^2
So we incorporate our formula for the area of the shaded part into this situation:
Area (A) = 24 in^2 - 3.14 in^2
<u>Area (A) = 20.86 in^2</u>
1/4 of a regular deck is made up of spades, so 1/4 is the theoretical and experimental probability.
Answer:
<u>200</u> Total Hrs Worked
Monthly Income <u>$</u><u>2</u><u>,</u><u> </u><u>0</u><u>8</u><u>0</u>
Step-by-step explanation:
<u>Hours</u>
- 40 • 5 = 200
<u>Monthly</u><u> </u><u>Income</u>
First, to find your yearly pay, multiply your hourly wage by the number of hours you work each week, and then multiply the total by 52.
12.00 • 40 = 480
480 • 52 = $24,960
Now that you know your annual gross income, divide it by 12 to find the monthly amount.
24,960/12 = $2,080
Answer:
C and D
Step-by-step explanation:
D rate of change is 16 per hour.
C rate of change is 20.
This is the closest I could get. hope this helps