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postnew [5]
4 years ago
12

Jennifer made an error converting y=x^2+2x+7 to vertex form. In which step did she make the error? Explain your answer and provi

de the correct form of the equation in vertex form.
A. y=x^2+2x+7
B. y=(x^2+2x)+7
C. y=(x^2+2x+1)+7
D. y=(x+1)^2+7
Mathematics
1 answer:
11111nata11111 [884]4 years ago
3 0

Answer:

C.

Step-by-step explanation:

Jennifer completed the square by adding 1.  However, to keep both sides equal, she should have added 1 to both sides:

y + 1 = (x² + 2x + 1) + 7

Or, she should have added 1 and subtracted 1 from the same side.

y = (x² + 2x + 1) + 7 − 1

The correct vertex form of the equation is:

y = (x + 1)² + 6

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How do I find the vertex function
3241004551 [841]

Answer:

oh ok. So, first, you get the equation in the form y=ax2+bx+c. Next, you calculate -b / 2a. This is the x-coordinate of the vertex. Then finally, you plug in the value of -b / 2a into the equation into the x variable and solve for the y variable. This is the coordinate of the vertex.

Step-by-step explanation:

Hope this helps!

6 0
2 years ago
What completes this expression to make it a perfect square trinomial? x2 + 4x + ___ A 2 B 4 C 8 D 16
brilliants [131]

Answer:

Option B. 4

Step-by-step explanation:

The given expression is x² + 4x + -----

We have to find a number which can be added in the expression to make it a perfect square trinomial.

x² + 2(2x) + 2²

= (x + 2)²

Therefore, if we add 4 in the given expression it becomes a perfect trinomial.

Option B is the correct option.

3 0
4 years ago
Please help asap !!!!​
disa [49]

Answer:

P = 3/8

q = 1/2

Step-by-step explanation:

(3/8)^3/8 × (3/8)^1/8 = P^q

Because of the same base, pick one of the bases

Then, add the powers

(3/8)^3/8 × (3/8)^1/8 = P^q

= (3/8)^3/8 + 1/8

= (3/8)^(3+1)/8

= (3/8)^4/8

= (3/8)^1/2

Therefore,

P^q = (3/8)^1/2

Where,

P = 3/8

q = 1/2

P^q = (3/8)^1/2

= √(3/8)

3 0
3 years ago
Equivalent equation of 3(x+6)=4x+7
il63 [147K]

Answer:

Step-by-step explanation:

3x + 18 = 4x + 7

18 - 7  =4x - 3x

11 = x

x= 11

8 0
3 years ago
Read 2 more answers
Write the number 110 as a sum of hundreds tens
vekshin1
I think................U do 100 = 10 because 100 is the hundreds and the tenths is the 10.
6 0
3 years ago
Read 2 more answers
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