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zimovet [89]
3 years ago
6

Given the function f(x) =-2x^2 + 4x -7 find f(-4)

Mathematics
1 answer:
Kamila [148]3 years ago
4 0
Correct the answer is -55
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Put the quadratic into vertex form and state the coordinates of the vertex. y= y= \,\,x^2-6x-3 x 2 −6x−3
enot [183]

Answer:

y = (x - 3)^2 - 12

(3,-12)

Step-by-step explanation:

Given

y = x^2 - 6x - 3

Solving (a): In vertex form

The vertex form of an equation is:

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

To do this, we make use of completing the square method.

We have:

y = x^2 - 6x - 3

------------------------------------------------------------------

Take the coefficient of x (i.e. -6)

Divide by 2; -6/2 = -3

Square it: (-3)^2 = 9

Add and subtract the result to the equation

------------------------------------------------------------------

y = x^2 - 6x - 3

y = x^2 - 6x + 9 - 9 - 3

y = x^2 - 6x + 9 - 12

Factorize x^2 - 6x + 9

y = x^2 - 3x-3x + 9 - 12

y = x(x - 3)-3(x - 3) - 12

Factor out x - 3

y = (x - 3)(x - 3) - 12

Express as squares

y = (x - 3)^2 - 12

Hence, the vertex form of y = x^2 - 6x - 3 is: y = (x - 3)^2 - 12

Solving (b): State the coordinates of the vertex.

In y = a(x - h)^2 + k; the vertex is: (h,k)

The vertex of y = (x - 3)^2 - 12 will be (3,-12)

3 0
3 years ago
Jill and Erika made 4 gallons of lemonade for their lemonade stand. How many quarts did they make if then charge $2:00 per quart
notka56 [123]

Answer:

Number of quarts=16

Money earned=$32

Step-by-step explanation:

Given

  • 4 Gallons of lemonade is prepared
  • They charge $2 for a quart

1 Gallon= 4 Quarts

Therefore Number of quarts

= \text{number of gallons} \times 4\\= 4 \times 4\\=16

Therefore Number of quarts of lemonade prepared by them = 16 quarts

As they charge $2 for each quart

⇒

Total money made if they sell it all

=\text{number of quarts} \times 2\\= 16 \times 2\\=32

Therefore, if they are to sell all the lemonade that they prepared

They would earn=$32

5 0
3 years ago
The product of g and 4 is 88<br> x= ?
Evgesh-ka [11]

Answer:

x = 22

Step-by-step explanation:

22 x 4 = 88

4 0
3 years ago
You and a friend are each driving a car in opposite directions. You both leave your house at the same time. If you are traveling
aksik [14]

Answer:

y = a - b(5) i think that's it

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help please due today
iogann1982 [59]

Answer:

b = 36

Step-by-step explanation:

27 divided by 6 = 4.5

45 divided by 10 = 4.5

- so, each point was multiplied by 4.5

8 times 4.5 = 36

6 0
3 years ago
Read 2 more answers
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