Answer:
y = 2
- 1
Step-by-step explanation:
y = 2
- 12x + 16
y = 2( - 6x + 8) ( Factor out 2 )
y + 9= 2( - 6x + 9) + 8 ( Complete the square 
) Add 9 both sides
y + 9 = 2 + 8 (Subtract 9 each side)
y = 2 
- 1 ( simplify )
Answer:
The information that was collected by each of the four methods is;
The participant's favorite coach of the Dallas Cowboys.
Step-by-step explanation:
For each of the four methods listed, the question that stood out was the favorite coach of the Dallas Cowboys among the participants in the study.
Questionnaire: one of the questions was, who is your favorite coach of the Dallas cowboys?
Interview: I asked him which coach was his favorite
Observation: I knew he was kidding because he had a smirk on his face. This observation showed that Barry Switzer was not really his favorite coach.
Historical data: I asked him which coach was his favorite and he said, "Barry Switzer because he was the last one to win a championship." This historical data shows that the reason why Barry Switzer was chosen as the researcher's favorite coach was that he was the last to win a championship.
Answer:
k = 13
smallest zero = -6
Step-by-step explanation:
f(x) is basically the function of x.
x could be any integer. f(x) is the solution of the function of x.
f(x) is defined as x² + 3x - 10
f(x) = x² + 3x - 10
Now, f(x+5) = x² + kx + 30
This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.
f(x) = x² + 3x - 10
f(x+5) = (x+5)² + 3(x+5) - 10
f(x+5) = x² + 10x + 25 + 3x + 15 - 10
f(x+5) = x² + 13x + 40 - 10
f(x+5) = x² + 13x + 30
x² + 13x + 30 = x² + kx + 30
hence, k = 13
Smallest zero = The smallest x value.
f(x+5) = x² + 13x + 30
Let's take f(x+5) = 0
x² + 13x + 30 = 0
which two numbers products give us 30 and add up to 13?
== 6 and 5
(x+6)(x+5) = 0
x+6 = 0
x = -6
x+5 = 0
x = -5
The two solutions are -6 and -5
The smallest out of these two is -6.
Answer:
x=2
Step-by-step explanation:
combine like terms= -7x -5x = -12x
-12x + 8 = -16
subtract 8 from both sides
-12x = -24
divide both sides by -12
x = 2
D 19 in2
find the area of a square, width times height
then find the area of the triangle, width times height divided by 2
