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kumpel [21]
2 years ago
12

Can anyone help me with this question it would be good if you can show me the graph

Mathematics
1 answer:
natta225 [31]2 years ago
8 0
See image for work and answer

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Place the quadratic y=2x^2+24x+79 into vertex form by using the method of completing the square and then state the coordinates o
katrin2010 [14]

Answer:

y=2(x+6)^2+7

(-6,7)

Step-by-step explanation:

y=2x^2+24x+79

Completing the square is a process of converting a quadratic equation in standard form into vertex form.

The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.

y=(2x^2+24x)+79

Factor out the coefficient of the quadratic term,

y=2(x^2+12x)+79

Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.

y=2(x^2+12x+36-36)+79

Simplify,

y=2(x^2+12x+36)+79+(2)(-36)

y=2(x+6)^2+79-72

y=2(x+6)^2+7

The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.

(-6,7)

7 0
3 years ago
Which scenario best matches the inequality x>3?
jek_recluse [69]
The correct answer is B.
8 0
3 years ago
Read 2 more answers
You are a young entrepreneur who ventures into selling milk tea. On the soft opening day, you sold all 50 glasses of classic and
shutvik [7]

Answer:

35 glasses of classic milk tea

15 glasses of flavored milk tea

Step-by-step explanation:

You sold 50 glasses of classic and flavored milk tea.

c + f = 50

You made 4700 when classic tea costs 100 and flavored tea costs 80.

100c + 80f = 4700

Use this system of equation to solve.  Use substitution.  Rearrange the first equation so that it is equal to c.  Then, plug the c-value into the second equation.

c + f = 50

c = 50 - f

100c + 80f = 4700

100(50 - f) + 80f = 4700

5000 - 100f + 80f = 4700

5000 - 20f = 4700

-20f = -300

f = 15

Plug the f-value into one of the equations and solve for c.

c + f = 50

c + 15 = 50

c = 35

35 glasses of classic milk tea and 15 glasses of flavored milk tea were sold.

4 0
3 years ago
3x-2y=-5 and 4x+2y=-16​
podryga [215]

Answer:

x=-22/4

y=-3

Step-by-step explanation:

3x-2y=-5

4x+2y=-16

we <u>add</u> the equation

7y=-21

y=-3

then we find the x by taking a random equation

I take 4x+2y=-16

4x+2(-3)=-16

4x-6=-16

4x=-22

x=-22/4

7 0
3 years ago
Marcus has earned 353 out of 400 points in Math class. What grade did Marcus make in his math class? (Round grade to the nearest
Taya2010 [7]

Answer:

an 88.25

Step-by-step explanation:

well 88%

5 0
3 years ago
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