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seropon [69]
3 years ago
13

For the function = − + + , what are the coordinates of the vertex? Is it a maximum or minimum point? Show all work algebraically

to earn full credit.
Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0

Answer:

Vertex: (1,3)

Maximum

Step-by-step explanation:

Given the quadratic function y=-2x^2+4x+1.

First, find the coordinaes of the vertex:

x_v=\dfrac{-b}{2a}=\dfrac{-4}{2\cdot (-2)}=\dfrac{-4}{-4}=1\\ \\y_v=-2\cdot 1^2+4\cdot 1+1=-2+4+1=3

Hence, the vertex is at point (1,3).

The leading coefficient is -2, this means parabola opens downwards and the value of the function at vertex is the maximum value of the function.

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If <br> B is the midpoint of AC, AB=x+6 and AC=5x-6, then what is BC?
nikklg [1K]

If B is the midpoint of AC, then AB=BC. It is also BC=AC-AB

AB = x + 6

AC = 5x - 6

BC = (5x - 6) - (x + 6)

We can kinda use distributive property, like this:

BC = 5x - 6 -x - 6

Combine like terms:

BC = 4x - 12

To verify, we can add AB and BC to see if their sum is equal to AC.

(x + 6) + (4x - 12) = 5x - 6

If we are correct, this equation will be true.

x + 6 + 4x - 12 = 5x - 6

Combine like terms:

6 + 5x - 12 = 5x - 6

5x - 6 = 5x - 6

It's correct!

BC = 4x - 12. Final Answer.

Let me know if you have any questions about this! :)

7 0
3 years ago
In a race competition the probability that Harry wins is 0.4, the probability that Krish wins is 0.2 and the probability that Jo
Leya [2.2K]

Answer:

jonny is the winner.

Step-by-step explanation:

No. of wins harry has = 0.4

No. of wins krish has = 0.2

No. of wins jonny has = 0.3

To find the prbability of harry and jonny = 0.4 + 0.3

                                                                  =  0.7

Now to see who wins we have to add krish's wins and harry's win, because harry has the greatest number of wins.

krish = 0.2

harry = 0.4

        =  0.6

now we have all three's score, so we will now see which is the greatest number.

krish= 0.6

harry = 0.4

jonny = 0.7

The greatest number is 0.7.

Hence, jonny is the winner!

HOPE IT HELPS PLZ MARK ME BRAINLIEST :D

3 0
3 years ago
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DiKsa [7]
The answerrrrrrrrr is 40
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3 years ago
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Help Please!!!!!!!!!!!!<br> Graph x&gt;4.
Rashid [163]

Answer:

graph

Step-by-step explanation:

7 0
3 years ago
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A number line going from negative 1 to positive 1 in increments of 1. There are 4 equal spaces between each number. The line con
Harlamova29_29 [7]

Answer:

The right choices are

Point B is plotted at negative one-half.

Point D is a rational number.

Point F is plotted at three-fourths.

Step-by-step explanation:

Let's make a number line according to the given situation. That would help us to answer the problem.

From the diagram,

Point B is plotted at negative one-half.

Point D is a rational number.

Point F is plotted at three-fourths are correct!

8 0
3 years ago
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