Answer:
1. (3x - 2)(x + 5).
2. 2(x + 4)(x - 2).
3. (2x - 9)(2x + 9).
Step-by-step explanation:
1. f(x) = 3x^2 +13x -10
Try to factor by the ac method:
3 * -10 = -30
We need 2 numbers whose product is -30 and whose sum is + 13.
They are -2 and +15, so we write:
3x^2 + 15x - 2x - 10 Factor by grouping:
= 3x(x + 5) - 2(x + 5)
= (3x - 2)(x + 5).
2. f(x) = 2x^2+4x-16
= 2(x^2 + 2x - 8)
Now we need 2 numbers whose product is -8 and whose sum is + 2.
They are +4 and -2. So:
= 2(x + 4)(x - 2).
3. 4x^2 - 81 This is the difference of 2 squares so the factors are:
(2x - 9)(2x + 9).
Answer:
D. The mean will shift to the left.
Because if they sell lower priced cars it will bring the average price down causing the mean to move to the left
Answer:
The measure of angle x is 74°
Step-by-step explanation:
we know that
The inscribed angle measures half of the arc that comprises
so
∠ABC=(1/2)[arc ADC]
substitute the given values
150°=(1/2)[4x+4]
300°=[4x+4]
4x=300-4
4x=296
x=74°
Answer:
90+5x+x=180
6x=90
x=15 degrees
Step-by-step explanation:
Answer:
y=-3x-2
Step-by-step explanation:
step 1- find the slope
parallel to means same slope, so look at y+3x=4, its not in the correct slope form so we subtract both sides by 3x to get y=-3x+4, the slope is the coefficient of x which is -3. Slope equals 3
step 2- use the point slope form which is y-y1=m(x-x1)
and substitute in the numbers (only substitute y1,x1, and m)
m is the slope which we found to equal -3
x1 and y1 are the points that they gave us (-2,4) are (x1,y1)
x1=-2
y1=4
step 3- substitute
y-y1=m(x-x1)
y-4=-3(x-(-2))
simplifies to y-4=-3x-6
add 4 to both sides to get y=-3x-2
