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Tatiana [17]
3 years ago
15

Which equation is y=(x+3)2+(x+4)2 rewritten in vertex form

Mathematics
1 answer:
Julli [10]3 years ago
3 0
Vertex coordinates: (h, k)

Vertex form: y = a(x-h)^2 + k

y = 2(x+3) + 2(x+4)

Use distributive property:

y = 2((x+3)+(x+4))

Simplify:

y = 2(2x+7)

y = 4x+14

This is slope - intercept form, not vertex form. Vertex form is for quadratic equations - this is a linear equation.

Answer (in slope - intercept form):

y = 4x+14
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Using Visual inspection, the model which fits the data in the distribution better is the power function.

The power and linear functions can of the data can both be modeled using technology,

<u>Using Technology</u> :

The power function in the form y = Ax^{B} which models the data is 1.926x^{1.662}

The linear function in the form y = Bx + A which models the data is y = 7.429x - 8.333

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6 0
2 years ago
What is the place value of the number 9 in 328.095?
brilliants [131]

Answer:

The tenths place

6 0
3 years ago
Read 2 more answers
charity is four times as old as her daughter. she is also six years younger than her husband. The sum of their ages ten years to
Pachacha [2.7K]

Answer:

36years

Step-by-step explanation:

Let charity present age be x

Charity daughter present age be y

Charity husband present age be z

If the sum of their ages ten years to come is 117, then;

10+x+10+y+10+z = 117

30+x+y+z = 117

x+y+z = 87 ... 1

If charity is four times as old as her daughter, then;

x = 4y

y = x/4 ... 2

If she is also six years younger than her husband, then;

x = z- 6

z = x+6 .. 3

Substitute 2 and 3 into 1;

x + x/4 + (x+6) = 87

Multiply through by 4

4x + x + 4(x+6) = 4(87)

5x+4x+24 = 348

9x = 348 - 24

9x = 324

x = 324/9

x = 36

hence Charity is 36years old today

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3 years ago
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Which expression gives the x-coordinate of the solution of the system 3x - y + z = 9?
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