Answer: The membership will last for 12 months.
Step-by-step explanation:
Let x represent the number of months that the membership would last.
Cleo wants to join a gym. There is an initiation fee of $24.99, and each month of membership costs $12.50. This means that the total cost of using the gym for x months would be expressed as
12.5x + 24.99
If Cleo pays $174.99, it means that
12.5x + 24.99 = 174.99
12.5x = 174.99 - 24.99
12.5x = 150
x = 150/12.5
x = 12
Answer:
416
Step-by-step explanation:
Standard deviation is 2.6
Margin error for the problem is 0.25
Probability 95%, that means thet the siginficance level α is 1 – p
α = 1 – 0.95 = 0.05
margin of error (ME) can be defined as follows
ME = Z(α/2) * standard deviation/ √n
Where n is the sample size
Z(0.05/2) = Z(0.025)
Using a z table Z = 1.96
Now, replacing in the equation and find n
.25 = 1.96 * 2.6/ √n
0.25 = 5.096/√n
√n = 5.096 /0.25
√n = 20.38
n = 20.38^2
n = 415.5 = 416
when you get this kind of exercise, you just need to check which equations resemble the graph
A. y= 6-4x
y= -4x+6
B. y= -4x+8-2
y= -4x+6
C. y= -4x-8-1
y= -4x-9
D. y= -4x+6
-> A, B and D are the same equations
-> the easiest way to find which graph is correct (A/B/D OR C), is to create the graph yourself using the drawn graph:
y= ax+b
a= negative (the line goes down)
to find the a you go 1 step to the left and look which point of the graph has the same x. in this exercise it's when y=4
a=-4
b= the y-coordinate of the point where the graph cuts the y-axis.
b=6
-> graph shown in picture is y= -4x+b
-> graph A/B/D is correct
-> C is does not represent this line
Answer:
f
Step-by-step explanation:
Answer:
(b + 7)(a + 4)
Step-by-step explanation:
ab + 7a + 4b + 28
separate the polynomial into 2 sections
(ab + 7a) (+ 4b + 28)
simplify each expression
a(b + 7)
4(b + 7)
you see that you have (b + 7) in both expressions. take that aside.
(b + 7)
you are left with a and positive 4. put these two together
(a + 4)
now put the expressions together
(b + 7)(a + 4)