Answer:
vertex = (- 7, - 87)
Step-by-step explanation:
given a parabola in standard form : ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= - 
p² + 14p - 38 is in standard form
with a = 1, b = 14, c = - 38, hence
= -
= -7
substitute x = - 7 into the equation for corresponding value of y
y = (- 7)² + 14(- 7) - 38 = 49 - 98 - 38 - - 87
vertex = (- 7, - 87)
9514 1404 393
Answer:
7
Step-by-step explanation:
When the mean of two numbers is the same as one of the numbers, then the other number also has that same value. This is true for any kind of mean:
arithmetic, geometric, harmonic.
The other number would be 7.
__
The geometric mean (m) of a and b is ...
m = √(ab)
We have ...
7 = √(7b)
49 = 7b . . . . . square both sides
7 = b . . . . . . . .divide by 7
a = b = m = 7 in this case.
Answer:
0.02
Step-by-step explanation:
0.5 x - 1.2 = 0.4x + 3.3
0.1x = 4.5
x = 0.02
Hope that helps!
Answer:
5.5% probability that a randomly selected person plays soccer
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Desired outcomes:
People surveyed who play soccer, so 
Total outcomes:
Total people surveyed, so 
What is the probability that a randomly selected person plays soccer?

5.5% probability that a randomly selected person plays soccer