2x +4)° 2x-9)°= 4x 2 +8x−9=3
Pull out like factors :
2x + 4 = 2 • (x + 2) (4 • (x + 2) • x) - 9
4x • (x + 2) - 9
Factoring 4x2+8x-9
The first term is, 4x2 its coefficient is 4 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 4 • -9 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is 8 .
-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5
-6 + 6 = 0
-4 + 9 = 5
-3 + 12 = 9
-2 + 18 = 16
-1 + 36 = 35
x=3
2 supplementary angles when added together need to equal 180 degrees.
Add:
3x-23 + 2x-12 = 180
Simplify:
5x -35 = 180
Add 35 to both sides:
5x = 215
Divide both sides by 5:
X = 43
Now replace x with 43 in the equation for angle b:
2(43) -12 = 86-12 = 74 degrees
Angle B = 74 degrees
Answer:
1.25% and 16 times
Step-by-step explanation:
Since the interest is compounded quarterly it will be compounded 4 times a year. So 4 x 4 is 16, so it will be compounded 16 times.
Then you have to divide the 5% by four to get how much will be compounded each quarter. So, (0.05 / 4) = 0.0125, which is 1.25%.
Answer:
Step-by-step explanation:
We have been given an equation 
. We are asked to solve our given equation.
First of all, we will add 3 to both sides of our equation.
Now, we will divide both sides of our equation by 4.
Upon rounding our answer to nearest thousandth (3 places after decimal) we will get,
Therefore, the solution for our given equation is .
