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sertanlavr [38]
3 years ago
12

Which function in vertex form is equivalent to f(x) = x2 + 6x + 3?

Mathematics
2 answers:
andrey2020 [161]3 years ago
9 1
(-3, -6)
(sorry, the other calculator does the answers, but not the one i'm using right now!)
netineya [11]3 years ago
9 0

Answer:

y=(x+3)^{2}-6

Step-by-step explanation:

Let's find the answer using the following method:

The original quadratic function is f(c)=x^{2}+6x+3

The vertex form of a quadratic equation is:

y=(x-h)^{2}+k

where (h,k) is the vertex which can be found as:

h=\frac{-b}{2a} =\frac{-6}{2*1}=-3\\h=f(h)=(-3)^{2}+(6*(-3))+3 = -6

So the vertex form is:

y=(x+3)^{2}-6

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Hey is the time of you to do your quiz
6 0
3 years ago
A geometric sequence has a4 = 4 and a5 = 7. What is a1 ? Your answer​
svetlana [45]

Answer:

  • 4⁴/7³ or 256/343

Step-by-step explanation:

<u>Given GP with </u>

  • a₄ = 4
  • a₅ = 7
  • a₁ = ?

<u>Let the common difference is r, then</u>

  • a₅ = a₄r
  • a₁r³ = 4
  • a₁r⁴ = 7

<u>Solve for r and then a₁:</u>

  • 4r = 7 ⇒ r = 7/4
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5 0
3 years ago
3z squared minus 6z if z = 5
max2010maxim [7]

Answer:

45

Step-by-step explanation:

Given

3z² - 6z ← substitute z = 5 into the expression

= 3(5)² - 6(5)

= 3(25) - 30

= 75 - 30

= 45

4 0
2 years ago
Read 2 more answers
HELP PLEASE ASAP
kondaur [170]
Answer: D. $3,450
Given: 2,500 shares of a stock bought for $8 a share
<span>Probabilities:  the stock will rise to a value of $32 a share is 22%</span>  <span>                                                the stock will fall to $3 a share is 78%</span>
<span>Question: What is the expected value of the investor’s profit from buying the stock?</span>
Solution: (22%(32-8)-78%(8-3))2500
                (.22(24)-.78(5))2500
                (5.28-3.9)2500
                (1.38)2500
                3450
8 0
3 years ago
If (X + 8) is a factor of f(x), which of the following must be true?
julsineya [31]

Answer: C

Step-by-step explanation:

If (X + 8) is a factor of f(x), then to find the root, equate the factor to zero. That is,

X + 8 = 0

X = 0 - 8

X = -8

If -8 is substituted into f(x), the equation will tend to zero. That is,

F( -8 ) = 0

C is therefore the correct answer.

4 0
3 years ago
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