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evablogger [386]
3 years ago
6

The question is in the screenshot attached. Thank you!

Mathematics
1 answer:
Rzqust [24]3 years ago
7 0

Answer:

Domain: -4 < x < 4

Zeros: (-2, 0), (0, 0) and (2, 0)

The function is positive if: 0 < x < 2

The function is negative if: -4 < x < 0 and 2 < x < 4

Step-by-step explanation:

Domain of the function are those x values where the function is defined, For this case, -4 < x < 4

Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)

The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)

The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)

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the vertex of parabola is (-2,-3).when the y-value is -2 , the x-value is -5. what is the coefficient of the squared expression
Fantom [35]

The coefficient of the squared expression is 1/9

<h3>How to determine the coefficient of the squared expression?</h3>

A parabola is represented as:

y = a(x - h)^2 + k

Where:

Vertex = (h,k)

From the question, we have:

(h,k) = (-2,-3)

(x,y) = (-5,-2)

So, the equation becomes

-2 = a(-5 + 2)^2 - 3

Add 3 to both sides

1 = a(-5 + 2)^2

Evaluate the sum

1 = a(-3)^2

This gives

1 = 9a

Divide both sides by 9

a = 1/9

Hence, the coefficient of the squared expression is 1/9

Read more about parabolas at:

brainly.com/question/4061870

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7 0
2 years ago
I WANT SOLUTION AND EXPLANATION ANSWER IS GIVEN AT LAST!!!
kozerog [31]
<h3><u>Question</u><u>:</u></h3>

<u>The difference between a 2-digit number and the number formed by reversing its digits is 45. If the sum of the digits of the original number is 13, then find the number. </u>

<h3><u>Statement</u><u>:</u></h3>

<u>The difference between a 2-digit number and the number formed by reversing its digits is 45. </u><u>T</u><u>he sum of the digits of the original number is 13</u><u>.</u>

<h3><u>Solution:</u></h3>
  • Let one of the digit of the original number be x.
  • So, the other digit = (13-x)
  • Therefore, the two digit number = 10(13-x) + x = 130-10x+x = 130-9x
  • The number obtained after interchanging the digits is 10x+(13-x) =9x+13
  • Therefore, by the problem

130-9x-(9x+13) = 45

or, 130-9x- 9x-13 = 45

or, -18x = 45-130+13

or, -18x= -72

or, x = 72/18 = 4

or, x = 4

  • So, the original number = 130-9x = 130 -9(4) = 130 - 36 = 94
<h3>Answer:</h3>

The number is 94.

I think the answer you have given isn't right. The answer should be 94.

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3 years ago
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Answer:

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lisov135 [29]
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6 0
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Read the sentence below about the Chicago fire of 1871. The city of Chicago was restored quickly after the fire. Which revision
ICE Princess25 [194]

Answer:

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Step-by-step explanation: credit to beverlymichelle in the comments

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