Answer:
x = 11
Step-by-step explanation:
• All interior angles in a triangle add up to 180.
• The square in the triangle represents 90°
90 + 45 + 1 + 4x = 180
136 + 4x = 180
4x = 180 - 136
4x = 44
x = 11
Let's factor the top and the bottom.
Top factors 4x + 20 = 4(x + 5)
Bottom x^2 + 2x - 15 = (x + 5)(x - 3)
The gcf is the largest value that will go into both the top and the bottom. In our problem the ONLY thing that will go into top and bottom is x + 5 so that is your GCF. (c)
6y^2-7y-3-2y^2+9y+7 (pretend that you're multiplying -1 to 2y^2-9y-7 which is why 9y and 7 are positive now).
Now you're able to simplify your problem, so...
6y^2-2y^2= 4y^2
-7y+9y= 2y
-3+7=4
4y^2+2y+4
Might want to check my math but that's how you do it.
Answer:
The quotient is 
Step-by-step explanation:
The given polynomial division is 
To perform the synthetic division we write out the coefficients and arrange them as shown.
1 -4 4 -1
<u>1 | 1 -3 1</u>
1 -3 1 0
The quotient is 
The descending powers of x means from highest degree to the least
The remainder is 0
Answer:
$40
Step-by-step explanation:
2 1/2 times the week
8 x 2.5 = 20
12 x 2.5 = 30
40 x 2.5 = 100