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valentina_108 [34]
3 years ago
5

Can anyone help me with this problem ? the answer choices are provided

Mathematics
1 answer:
Ymorist [56]3 years ago
6 0
Y = -2x^2 + 4x + 3 Put brackets around the first 2 terms.
y = (-2x^2 + 4x) + 3 Take out a common factor of -2 from the brackets.
y = -2(x^2 - 2x) + 3 add a number inside the brackets that will make inside the brackets a perfect square. the method is shown below.

y = -2(x^2 - 2x + (2/2)^2 ) + 3
y = -2(x^2 - 2x + 1) + 3
y = -2(x^2 - 2d + 1) + 3 - (-2*1)
y = -2(x^2 - 2x + 1) + 3 + 2
y = -2(x - 1)^2 + 5

B <<<<< answer.

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On Monday, Sean bought 3 cookies and 5 cakes and spent $78.75. On Tuesday, Sean bought 8 cookies and 2 cakes and spent $40.
andreyandreev [35.5K]

Answer:

1 cookie = $1.25    1 cake = $15

Step-by-step explanation:

set up a system of equations:

let x = 1 cookie

let y = 1 cake

3x + 5y = 78.75

8x + 2y = 40

I multiplied the first equation by 2 to get:  6x + 10y = 157.50

I multiplied the second equation by -5 to get:  -40x - 10y = -200.00

If you add both equations, the y-terms will be eliminated

-34x = -42.50

x = 1.25

Plug in 1.25 into equation to find value of y:  8(1.25) + 2y = 40

                                                                           10 + 2y = 40

                                                                            2y = 30

                                                                             y = 15

6 0
3 years ago
Slope = - 3/5 ; y- intercept = 4 <br> Has to be written in slope intercept form :)
elena-14-01-66 [18.8K]

The answer in slope intercept form is:   y = -3/5x + 4

8 0
3 years ago
I just need the answers for 10 and 12
Fynjy0 [20]

Answer:

10.) y = -5x + 7

12.) y = 3/2x - 8

Step-by-step explanation: Since you have to create a new line that us parallel, the slopes will be equivalent. So the mx value will not change. Now we can plug in the coordinates to find the value of b.

10.)

2 = -5(1) + b.

2 = -5 +b

b = 7

therefore...

y = -5x + 7


12.)

2(-5) = 3(2) + b

-10 = 6 + b

b = -16

therefore...

2y = 3x - 16

simplified:

y = 3/2x - 8



4 0
4 years ago
The weekly cost (C) of growing and selling x acres of flowers is approximated by C = 0.2x2 – 12x + 240. How many acres of flower
Anna71 [15]
To determine how many acres would minimize cost, we need to differentiate the expression given and set it to zero and obtain the value of x. We do as follows:

C(x) = 0.2x^2 - 12x +240
C'(x) = 0.4x - 12
0 = 0.4x - 12
x = 30 acres <---------amount of flowers needed to minimize cost
3 0
3 years ago
House to find the volume of a cylinder
Alex777 [14]

Answer:

pi × r² × h

Step-by-step explanation:

Volume = pi × r² × h

Where pi = 3.142 (approx)

r is the radius

h is the height

3 0
4 years ago
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