Answer:
(- 2, - 9 )
Step-by-step explanation:
The axis of symmetry passes through the vertex of the parabola.
Thus the x- coordinate of the vertex is x = - 2
To find y substitute x = - 2 into f(x)
f(- 2) = (- 2)² + 4(- 2) - 5 = 4 - 8 - 5 = - 9
Vertex = (- 2, - 9 )
It gained 4 lbs:) 6*4 = 24
24+12 = 36
Answer:
90, 91 and 92
Step-by-step explanation:
Given
Consecutive integers = 273
Required
Find the integers
The question seem to be incomplete. However, I'll assume we're dealing with sum.
Let the smallest integer be y.
So,
y + y + 1 + y + 2 = 273
Collect like terms.
y + y + y = 273 - 2 - 1
3y = 270
Divide both sides by 3
y = 90
Hence, the integers are 90, 91 and 92
Answer:
Step-by-step explanation:
We are given that 30% of California residents have adequate earthquake supplies.
a) Ramon variable X denotes the number of the california residents that have adequate earthquake insurance
B) x can take value 1 ,2 ,3 ......
C)The distribution of random variable is geometric distribution with parameter p=0.3
The pmf of geometric distribution is

D)P(X=1) or P(X=2)=P(X=1)+P(X=2)
P(X=1) or P(X=2)=
E)

F)

p is the resident who does not have adequate earthquake supplies.
p = 1-0.3 = 0.7

G)
Answer:
3/x^2 or 3x^-2
54x^5
x^-1/3
Step-by-step explanation:
2 6x^3×9x^2=54x^3+2=54x^5
3 x^2/3 × x^-1=x^-1/3