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gtnhenbr [62]
3 years ago
15

What is the vertex of the graph of the function f(x) = x2 + 3x - 2?

Mathematics
1 answer:
UkoKoshka [18]3 years ago
6 0

Answer:

see below

Step-by-step explanation:

We need to write it on vertex form (f(x) = a(x - c)² + d where (c, d) is the vertex) and to do that we will complete the square.

f(x) = x² + 3x - 2

= (x² + 3x + 9/4) - 9/4 - 2

= (x + 1.5)² - 4.25

The vertex is (-1.5, -4.25).

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Determine whether each question is biased. Explain your answer.
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Read 2 more answers
granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients.
azamat

Answer:

5 1/2

Step-by-step explanation:

The calories contained are from grams of carbohydrates and other ingredients

One gram of carbohydrate contains 4 calories

The equation 4c + 5 = 27 represents the relationship between these quantities.

1. 5 from the equation represent calories from other ingredients

2. Neither 8 nor 3 is the solution to the equation

4c + 5 = 27

When 8 is the solution

4(8)+5=27

32+5=27

37=27

When 3 is the solution

4(3)+5=27

12+5=27

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Neither 8 nor 3 is the solution to the equation because 8 gives a higher calories in the granola bite and 3 gives a lower calories in the granola bite.

3. Solution to the equation

4c + 5 = 27

4c= 27-5

4c = 22

Divide both sides by 4

c=22/4

=5 2/4

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The solution to the equation is 5 1/2

7 0
3 years ago
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Step-by-step explanation:

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6 0
3 years ago
Don’t really understand it someone help
stich3 [128]

Answer:

<em>n = 8 or n = −2</em> <em>is the correction solution.</em>

Step-by-step explanation:

As the absolute value equation is given:                                      

                                            | n−3 | = 5

We know either n − 3 = 5 or n − 3 = −5

                                               n − 3 = 5            (First Possibility)

                                          n − 3 + 3 = 5 + 3

                                                       n = 8

                                                n − 3 = -5            (Second Possibility)

                                                      n = -5 + 3

                                                      n = -2

                  <em> So, n = 8 or n = −2</em> <em>is the correction solution.</em>

<em>Keywords: absolute value equation</em>

<em>Learn more about absolute value equation from brainly.com/question/680309</em>

<em>#learnwithBrainly</em>

7 0
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