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VARVARA [1.3K]
2 years ago
12

Write the equation the describes the parabola that passes through the point (-8,-21) and has a vertex of (-4,-5), in vertex form

Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
7 0

Answer:

d

Step-by-step explanation:

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It takes a crew 57 hours to install cabinets in one office. How long will it take the crew to install cabinets in 17 offices?
brilliants [131]

Answer:

969 hours

Step-by-step explanation:

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A photo is 15 cm high and 9 cm wide Michael wants to but porcelain shrink it so it's height is 6 cm High how wide will it then b
weqwewe [10]

Answer:

3.6cm

Step-by-step explanation:

Given data

We are given that the dimension of the photo is

Height= 15cm

Width= 9cm

That is

            15cm height  will make 9cm width

hence    6cm height will make x widht

cross multiply

9*6= 15*x

54= 15x

x= 54/15

x= 3.6cm

Hence the width will be 3.6cm

3 0
2 years ago
Solve the following system of equations for all three variables.
xz_007 [3.2K]

Answer:

Step-by-step explanation:

-2x + 3y – 4z = 8    ----------------(I)

5x – 3y + 5z = -8    -----------------(II)

7x – 3y + 3z = 8 ------------------(III)

Add equation (I) & (II) and thus y will be eliminated

(I)        -2x + 3y – 4z = 8

(II)        <u>5x – 3y + 5z = -8</u>    {Add}

           3x          + z  = 0   ------------------------(A)

Multiply equation (II) by (-1) and then add with equation (III). Thus y will be eliminated.

(II) * (-1)         -5x + 3y - 5z = +8

                     <u>7x – 3y + 3z = 8</u>   {Add}

                     2x         -2z   = 16   ---------------(B)

Multiply equation (A) by 2 and then add. Thus z will be eliminated and we will get the value of x

(A) * 2          6x + 2z = 0

(B)                 <u>2x - 2z  = 16</u>   {Add}

                     8x         = 16

Divide both sides by 8

                             x = 16/8

                          x = 2

Plugin x = 2 in equation (A)

3x + z = 0

3*2 + z = 0

 6 + z = 0

       z = -6

Plug in x = 2 and z  = - 6 in equation (I)

-2x +3y - 4z = 8

-2*2 + 3y - 4*(-6) = 8

-4 + 3y + 24 = 8

     3y   + 20 = 8

               3y = 8 - 20

               3y = -12

                 y = -12/3

y = -4

<u />

<u> </u>

7 0
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arsen [322]
Put the argument value where the variable is, then evaluate.
For f(x), you want f(2).
  f(2) = 2² + 1 = 4+1 = 5

For g(x), you want g(1).
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For [f(2) - g(1)] you want the difference of the above values.
  [f(2) - g(1)] = [5 - 4] = 1
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61 is the answer I think
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