Answer:
b=5
Step-by-step explanation:
2+b=7
Subtract 2 from each side
2+b-2=7-2
b= 5
We factor the equation to get:
-(x-25)^2+361
In the form a(x-h)^2+k, the vertex is (h, k), so the vertex is (25, 361). This means that the studio makes the most profit from selling 25 memberships, and thus makes 361 dollars.
B. The x-intercepts are the values of x for which f(x) is 0. This equation can be factored as (-a+6)(a-44)=0, with solutions 6 and 44. Therefore, by selling either 6 memberships or 44 memberships, the studio breaks even, neither making nor losing money.
Answer: 1.25
Step-by-step explanation:
Given: A college-entrance exam is designed so that scores are normally distributed with a mean
= 500 and a standard deviation
= 100.
A z-score measures how many standard deviations a given measurement deviates from the mean.
Let Y be a random variable that denotes the scores in the exam.
Formula for z-score = 
Z-score = 
⇒ Z-score = 
⇒Z-score =1.25
Therefore , the required z-score = 1.25
¡Hola!
Your answer to the question is 10/12.
Step-by-step explanation:
By using the y^2-y^1/x^2-x^1
12-2= 10
16-4= 12
So your answer is 10/12.
Hope this Helps!
Answer:
Step-by-step explanation:
y = mx + b
slope(m) = 1/4
(-1,-4)...x = -1 and y = -4
now sub and find b, the y intercept
-4 = 1/4(-1) + b
-4 = -1/4 + b
-4 + 1/4 = b
-16/4 + 1/4 = b
-15/4 = b
so the equation in slope intercept form is : y = 1/4x - 15/4
but we need it in general form : Ax + By + C = 0
y = 1/4x - 15/4.....multiply everything by 4 to get rid of fractions
4y = x - 15......subtract x and add 15 ...to both sides
4y - x + 15 = 0 <=== general form
