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Zolol [24]
3 years ago
9

Rewrite the equation f (x) =2x^2 +12x+7 to the form f (x) =a (x-h)^2+k

Mathematics
2 answers:
Alborosie3 years ago
5 0
Complete theh square

isolate x terms
factor out coefient of x^2 term
take 1/2 of 1st degree coefient and square it, add positive and negative inside parnthasees, expand


f(x)=(2x^2+12x)+7
f(x)=2(x^2+6x)+7
6/2=3, 3^2=9
f(x)=2(x^2+6x+9-9)+7
f(x)=2((x+3)^2-9)+7
f(x)=2(x+3)^2-19+7
f(x)=2(x+3)^2-12

Volgvan3 years ago
4 0
You do have to complete the square on part of the problem. Follow my steps in the picture. If you graph the original problem and the answer you should get the same graph. I checked my answer.

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Maxim has been offered positions by two car companies. The first company pays a salary of $8000 plus a commission of $900 for ea
Kaylis [27]

Answer:

16 cars.

Step-by-step explanation:

Let x represent number of sold cars.

We have been that 1st company pays a salary of $8000 plus a commission of $900 for each car sold. We can represent this information in an expression as:

900x+8000

We are also told that second company pays a salary of $14400 plus a commission of $500 for each car sold. We can represent this information in an expression as:

500x+14,400

To find the number of cars sold, which will make the total pay the same, we will equate both expressions and solve for x as:

900x+8000=500x+14,400

900x-500x+8000=500x-500x+14,400

400x+8000-8000=14,400-8000

400x=6,400

\frac{400x}{400}=\frac{6,400}{400}

x=16

Therefore, 16 cars would need to be sold to make the total pay the same.

3 0
4 years ago
Is 3.6 km or 3,600 m is greater or eqaul
SVEN [57.7K]

<span>3.6 km is equal to 3,600 m  :)</span>

<span>
</span>

7 0
4 years ago
Read 2 more answers
Please write the slope-intercept form for this: A line goes through the points (5,18) and (-3,-14)
balandron [24]

y = 4x - 2

The equation of a line in ' slope- intercept form ' is

y = mx + c → (m is the slope and c the y- intercept )

To calculate m use the ' gradient formula '

m = (y₂ - y₁ )/(x₂ - x₁ )

let ( x₁, y₁ ) = (5, 18) and (x₂, y₂ ) = ( - 3, - 14 )

m = \frac{(- 14 - 18)}{( - 3 - 5)} = \frac{- 32}{- 8} = 4

the partial equation is y = 4x + c

to find c substitute either of the 2 given points into the partial equation

using (5 , 18) then 18 = 20 + c ⇒ c = 18 - 20 = - 2

y = 4x - 2 is the equation in slope- intercept form


6 0
3 years ago
What is the measurement of an angle formed in the morning at 9 o’ clock?​
atroni [7]

Answer:

90°

Step-by-step explanation:

hope this helps.....

6 0
3 years ago
Read 2 more answers
Ty is 3 years younger than bea. what would the equation be?
Alexandra [31]
T = B + 3<span> T = B - </span>3<span> T = </span>3<span> - B T = 3B</span>
6 0
3 years ago
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