Answer:
B. 48
Step-by-step explanation:
just took the test <3
First of all you have to make them equal to each other. What I mean is the following
3x+20=2x+40
Then you should just solve for x
The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
Step-by-step explanation:
The vertex form of the quadratic equation y = ax² + bx + c is
y = a(x - h)² + k, where
- (h , k) are the coordinates of the vertex point
- a, b, c are constant where a is the leading coefficient of the function (coefficient of x²) , b is the coefficient of x and c is the y-intercept

- k is the value of y when x = h
∵ y = x² + 16x - 7
∵ y = ax² + bx + c
∴ a = 1 , b = 16 , c = -7
∵ 
∴ 
∴ h = -8
To find k substitute y by k and x by -8 in the equation above
∵ k is the value of y when x = h
∵ h = -8
∴ k = (-8)² + 16(-8) - 7 = -71
∵ The vertex form of the quadratic equation is y = a(x - h)² + k
∵ a = 1 , h = -8 , k = -71
∴ y = (1)(x - (-8))² + (-71)
∴ y = (x + 8)² - 71
∵ (h , k) are the coordinates of the vertex point
∵ h = -8 and k = -71
∴ The vertex is (-8 , -71)
The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
Learn more:
You can learn more about quadratic equation in brainly.com/question/9390381
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Answer:
<u>A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. ... An example of a simple random sample would be the names of 25 employees being chosen out of a hat from a company of 250 employees</u>
<u>Step-by-step explanation:</u>
<u>i searched it up</u>
3-4^2+6/2
we use PEMDAS
since there’s no parentheses we go to exponents
3-16+6/2
Next would be multiplication but there’s nothing to multiply so we go to division
3-16+3
Then we add
3-19
The last and final step is subtraction
-16