The answer is b. 11.
You can find this by multiplying the two parenthesis together. In order to do this, you can use a multiplying process known as FOIL (First, Outer, Inner, Last), where you multiply parts of the parenthesis in this order to make sure you do so properly.
First Numbers:
2x * x = 2x^2
Outer Numbers:
2x * 6 = 12x
Inner Numbers:
-1 * x = -1x
Last Numbers:
-1*6 = -6
Now place them all in that order and simplify.
2x^2 + 12x - x - 6 ---> simplify x terms
2x^2 + 11x - 6
Since the middle term (the one with the x value) has a coefficient of 11, that gives us a b value of 11.
Answer:
y = - 6x - 57
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 6, thus
y = - 6x + c ← is the partial equation
To find c substitute (- 9, - 3) into the partial equation
- 3 = 54 + c ⇒ c = - 3 - 54 = - 57
y = - 6x - 57 ← equation of line
Answer:
A
Step-by-step explanation:
all we need to do is to plug the point (6,4) in the inequality and see if it satisfies it :
pay attention that here we have x=6 y=4
4<
we simplify we get :
4<4.5-3
4<1.5 which is incorrect so (6,4) is not a solution. moreover
notice that 4 is > than 1.5 so the point lies above the line
thus the answer is : A
you can also solve this problem by graphing the line 
and plotting the point (6,4) and hence you will notice that the point is above the line
Answer:
B
Step-by-step explanation:
Divide one sample of jumping jacks by each girl by their time to find the unit rate. Then compare unit rates. Recall, a unit rate is the number of jumping jacks done in one minute. Cortney does 15 jumping jacks in 1 minute in the first entry of the table. Mallory does 60 jumping jacks in 5 minutes according to a point on the graph. Divide 60/5=12. She does 12 jumping jacks per minute. Thus Cortney does 3 more per minute.
Answer:
GH = 20
Step-by-step explanation:
We have that
FH = FG + GH ← substitute values
4x + 8 = x + 5x
4x + 8 = 6x ( subtract 4x from both sides )
8 = 2x ( divide both sides by 2 )
4 = x
Hence GH = 5x = 5 × 4 = 20GH = 20
