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Klio2033 [76]
2 years ago
5

Find the vertex of this quadratic

Mathematics
1 answer:
mihalych1998 [28]2 years ago
4 0

Answer:

The vertex of the quadratic equation is the point (4,2)

Step-by-step explanation:

we know that

The figure show a vertical parabola open downward

The vertex represent the maximum point of the graph

Looking at the graph

The maximum point of the graph is (4,2)

therefore

The vertex of the quadratic equation is the point (4,2)

see the attached figure to better understand the problem

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Eight hundred forty nine divided by four
storchak [24]

Answer: 223.5

Step-by-step explanation:

3 0
3 years ago
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Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour.
Andrews [41]
3t = 5(3-t)
3t = 15 - 5t
3t + 5t = 15
8t = 15
t = 15/8
t = 1 7/8 

7/8 * 60 mins = 52.50 minutes

t = 1 hour and 52.5 minutes

It took Stu 1 hour and 52.5 minutes to hike the trail one way.
3 0
3 years ago
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Antoinette solves the linear equation 3(x-3)+2x+9 = 2X+ 2(x-1) using the steps shown below.
taurus [48]

Answer:

Antoinette's error

Option A) She distributed incorrectly.

Step-by-step explanation:

We are given the following information in the question:

Antoinette solves the linear equation

3(x-3)+2x+9 = 2x+ 2(x-1)

Antoinette made mistake in step 1 that is she did not distributed correctly.

If she would have distributed correctly, then she would have got the following solution:

3(x-3)+2x+9 = 2x+ 2(x-1)\\\text{Step 1: }3x-9+2x+9 = 2x + 2x-2\\\text{Step 2: }5x = 4x -1\\\text{Step 3: }5x-4x = -1\\\text{Step 4: }x = -1

Substituting x = -1 in the given equation, we gwt:

3(-1-3)+2(-1)+9 = 2(-1)+ 2(-1-1)\\-12-2+9 = -2-4\\-6=-6\\\text{which is true}

Antoinette's error

Option A) She distributed incorrectly.

5 0
2 years ago
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Make a list of all 3 digit numbers using the digit 5, 2, and 6
HACTEHA [7]

Answer:

SOLUTION #1

If the digits are allowed to repeat, the answer is 27. (There are three ways to fill digit 1, three ways to fill digit 2, and three ways to fill digit 3. Therefore, there are 3 x 3 x 3 = 27 possibilities.)

SOLUTION #2

If the digits are NOT allowed to repeat, the answer is 6. (There are three ways to fill digit 1, only two ways to fill digit 2, and only one way to fill digit 3. Therefore, there are 3 x 2 x 1 = 6 possibilities.)

Step-by-step explanation:

Hope this <em><u>Helped!</u></em> :D

5 0
3 years ago
Read 2 more answers
Hello everyone I need help with this worksheet it's ten problems answer the ones you know for me please it's homework.
Fed [463]

Answer:

1. Slope = -4/5

2. Slope = 2/3

3. Slope = 0

4. Slope = 3/-4

5. Slope = 7/-12

6. Slope = 1/2

7. Slope = -2/0 --> Undefined

8. Slope = 3/-2

9. Slope = 5/-4

10. Slope = 4/3

Step-by-step explanation:

Ok so I'm assuming that you want the slope for all the two points. Basically, the formula for slope is rise/run, or y2-y1/x2-x1. Solve using that. For example, for number 1, it would be:

10-2/1-11 = 8/-10 = -4/5

5 0
2 years ago
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