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devlian [24]
3 years ago
9

Simplify the quadratic term by squaring the (x+1) term.

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
6 0

Answer:

y =  -2x^2 -4x +1

Step-by-step explanation:

y-3 = -2 (x+1)^2

Foil (x+1)^2

(x+1)(x+1) = x^2 +x+x+1 = x^2 +2x+1

Substitute this back in

y-3 = -2(x^2 +2x+1)

Distribute

y-3 = -2x^2 -4x -2

Add 3 to each side

y-3+3 = -2x^2 -4x -2+3

y =  -2x^2 -4x +1

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Find x! Please help!!
a_sh-v [17]

{(8 + x)}^{2}  =  {8}^{2}  +  {15}^{2}  \\ {(8 + x)}^{2}  =  64  +  225 \\  {(8 + x)}^{2}  = 289 \\ {(8 + x)}^{2}  =  {17}^{2}  \\ 8 + x = 17 \\ so \: x = 17 - 8 = 9
5 0
3 years ago
What dose this equal 2(6x-4)=3(6x+2)
AveGali [126]

Answer:

-7/3

Step-by-step explanation:

2(6−4)=3(6+2)

2(6x-4)=3(6x+2)

Solve

1

Distribute

2(6−4)=3(6+2)

{\color{#c92786}{2(6x-4)}}=3(6x+2)

12−8=3(6+2)

{\color{#c92786}{12x-8}}=3(6x+2)

2

Distribute

12−8=3(6+2)

12x-8={\color{#c92786}{3(6x+2)}}

12−8=18+6

12x-8={\color{#c92786}{18x+6}}

3

Add

8

8

to both sides of the equation

12−8=18+6

12x-8=18x+6

12−8+8=18+6+8

12x-8+{\color{#c92786}{8}}=18x+6+{\color{#c92786}{8}}

5 more steps

Solution

=−7/3

7 0
2 years ago
Read 2 more answers
Describe youre version of a best freind
Alecsey [184]

Answer:

To me is a best freind is someone who has my back no matter what.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Help please!<br><br> Help would be appreciated.
kotegsom [21]

Answer:

\displaystyle 157,5

Step-by-step explanation:

\displaystyle 3\frac{3}{4}\:quibs = 1\:slep \\ \\ 3\frac{3}{4} \times 42 = 157\frac{1}{2} = 157,5

I am joyous to assist you anytime.

5 0
4 years ago
Robert has 60 feet of fence to make a dog pen. He will use the house for one side of the pen, as shown above. What dimensions wi
irinina [24]

The formula for an area of a regular parallelogram is:

A = l * w

Where,

l = length

w = width

We are given that the total measurement of fence is only 60 feet and one side of the house is used as one side of the pen. Therefore,

l + 2 w = 60

<span>or simplifying to make an explicit expression for one  variable, say l:</span>

l = 60 – 2 w

<span>Substituting to the 1st equation:</span>

A = (60 – 2 w) * w

A = 60 w – 2 w^2

<span>The maxima are obtained by getting the 1st derivative then equating dA/dw = 0:</span>

dA/dw = 60 – 4 w

60 – 4 w = 0

4 w = 60

w = 15

Since l = 60 - 2w

l = 60 – 30

l = 30

<span>Therefore the dimension that will make the largest pen is 15 ft by 30 ft.</span>

<span>ANSWER: C</span>

7 0
3 years ago
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