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lina2011 [118]
4 years ago
9

NEED HELP QUICK

Mathematics
1 answer:
Alchen [17]4 years ago
4 0
For a parabola equation ax^2+bx+c, the vertex would be -b/2a
Therefore, the x coordinate of the minimum would be -(-32)/2(2)=32/4=8
That is the "h" part of the equation. 
Now, we need to find the y coordinate, which will be the "k" part of the equation. We can find that by plugging in x=8 into the equation: 2(8)^2-32(8)+56= -72

Therefore, we plug (h,k) and a in, and get the equation y=2(x-8)^2-72
The x coordinate of the minimum is 8

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Given an absolute value function f(x)=|x|, what is the effect of adding a constant k to the function?
AfilCa [17]

Answer: the graph of the resulting function, |x| + k, is the graph of f (x) shifted k units up

Step-by-step explanation:

just took the test

4 0
3 years ago
Mike has a loan of $36,320. This loan has a simple interest rate of 6% per year. What is the
Trava [24]

Answer:

<h3> $2,179.2</h3>

Step-by-step explanation:

Given;

Loan = $36,320 (Principal)

Rate R = 6% = 0.06

Time T = 1year

Required

Interest that will be charged on this loan at the end of the first year

Using the formula for calculating simple interest as;

SI = PRT/100

SI = 36,320 * 6 * 1/100

SI = 0.06 * 36,320

SI = $2,179.2

Hence the amount of interest that will be charged on this loan at the end of the first year is  $2,179.2

4 0
3 years ago
Find the solutions to the equation below.
dybincka [34]

Step-by-step explanation:

Use the quadratic formula to find the solutions.

−b±√b2−4(ac)2a-b±b2-4(ac)2a

Substitute the values a=9a=9, b=0b=0, and c=−81c=-81 into the quadratic formula and solve for xx.

x=±3x=±3

The final answer is the combination of both solutions.

x=3,−3x=3,-3

5 0
3 years ago
Line l has a slope of...
xz_007 [3.2K]

Hey there! :)

Answer:

Option C.

Step-by-step explanation:

A perpendicular line to 2/3 will be the reciprocal and negative of this fraction. Therefore:

Slope of perpendicular line = -3/2.

Remember, the equation for solving for the slope is:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

We must find points that when plugged into this equation, equal to -3/2.

Plugging in the points in option A:

\frac{2}{3} \neq \frac{-3}{2}

Option B:

\frac{3}{4} \neq \frac{-3}{2}

Option C: This is the correct answer.

\frac{-3}{2} =  \frac{-3}{2}

Option D:

\frac{2}{10}\neq \frac{-3}{2}

5 0
3 years ago
Read 2 more answers
Which numbers are a distance of 3 units from 12 on a number line?
goldfiish [28.3K]
15 I think i'm sorry if i'm wrong 
3 0
3 years ago
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