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fenix001 [56]
3 years ago
14

How would I change this into vertex form? Steps please

Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0
P(x) = x^2 + 4x
y = x^2 + 4x
use the formula (b/2)^2 to find the new c value
(4/2)^2 = 4
add 4 to both sides
y + 4= x^2 + 4x + 4
y + 4= (x+2)^2

y= (x+2)^2 - 4


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The profits in hundreds of dollars, P(c), that a company can make from a product is modeled by a function of the price, c, they
Jobisdone [24]
The maximum profit is the y-coordinate of the vertex of the parabola represented by the equation.

P(c)=-20c^2+320c+5120 \\ \\
a=-20 \\
b=320 \\ \\
\hbox{the vertex } (h,k): \\
h=\frac{-b}{2a}=\frac{-320}{2 \times (-20)}=\frac{-320}{-40}=8 \\
k=f(h)=f(8)=-20 \times 8^2+320 \times 8+5120= \\
=-1280+2560+5120=6400

The maximum value is 6400, but the profit is given in hundreds of dollars, so multiply the value by 100.

The maximum profit the company can make is $640,000.
4 0
3 years ago
Read 2 more answers
Complete each proof. Remember to mark the diagram as you go. You may not need all the rows.
Illusion [34]

Answer:

did u ever get hte answers for this ?

6 0
3 years ago
NEED HELP FAST!!
Dafna11 [192]

Answer:

see below

Step-by-step explanation:

dilation with a scale factor of 1/3 means the distances to the center shrink by 1/3

so for center (4,-2)

distance of (7,4) is 3 n 6 to center

1/3 of distance = 1 n 2

so (7,4) become (4+1, -2+2) = (5, 0) after the dilation


similarly u can find the other 2 pts

distance of (-2,4) is -6 n 6 to center

1/3 of distance = -2 n 2

so (-2,4) become (4-2, -2+2) = (2, 0) after the dilation


distance of (1, 10) is -3 n 12 to center

1/3 of distance = -1 n 4

so (1,10) become (4-1, -2+4) = (3, 2) after the dilation


plot the new triangle using the 3 pts

8 0
3 years ago
Please help me with these and please have explanations
NeTakaya

Answer:

1-B

2-C

3-D

Step-by-step explanation:

In the attached file

6 0
3 years ago
Parallel to y=2÷3x+6<br> Passes through (6,7)
erma4kov [3.2K]

Answer:

Step-by-step explanation:

Parallel to y=2÷3x+6

Passes through (6,7)

slope is (2/3)

Solve for when y is 7 and x is 6.

take out the + 6 at the end because it doesnt change the slope. replace with b. (y=mx+b)

replace y and x.

7 = (2/3)(6)+b

solve for b and then put it back into the equatio and make 6 and 7 into x and y again.

7 0
3 years ago
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