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muminat
3 years ago
9

. Ethan's favorite kind of exercise is running. He runs on a path that is 1.75 miles long. Last week, Ethan ran on the path 6 ti

mes. How many miles did Ethan run on the path last week?
Mathematics
1 answer:
Talja [164]3 years ago
6 0

Answer:

10.5 miles

Step-by-step explanation:

Ethan's favorite kind of exercise is running. He runs on a path that is 1.75 miles long. Last week, Ethan ran on the path 6 times.

The number of miles that Ethan ran on the path last week is calculated as:

Number of miles × Number of times he ran

= 1.75 miles × 6 times

= 10.5 miles

Therefore, the number of miles that Ethan ran on the path last week is 10.5 miles

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2. Abby found the axis of symmetry, x-coordinate, the vertex, and y-intercept
krek1111 [17]

Using quadratic function concepts, it is found that Abby made a mistake on the coordinates of the vertex, which are (-4,1).

----------------------

  • A quadratic function is defined by:

y(x) = ax^2 + bx + c

  • The y-intercept is given by point: (0, y(0))
  • The vertex is given by: (-\frac{b}{2a}, y(-\frac{b}{2a})).
  • The axis of symmetry is: x = -\frac{b}{2a}

----------------------

The function given is:

f(x) = -x^2 - 8x - 15

  • Which is a quadratic equation with: a = -1, b = -8, c = -15.
  • f(0) = -0^2 - 8(0) - 15 = -15, thus, the y-intercept is (0, -15).

x_v = -\frac{b}{2a} = -\frac{(-8)}{2(-1)} = \frac{8}{-2} = -4

  • Thus, the <u>x-coordinate of the vertex</u> is x = -4, which is the same as the <u>axis of symmetry</u>.

f(-4) = -(-4)^2 - 8(-4) - 15 = 1

  • The vertex is given by: (-4,1).

A similar problem is given at brainly.com/question/14680175

8 0
3 years ago
The smaller of two similar rectangles has dimensions 4 and 6. Find the dimensions of the larger rectangle if the ratio of the pe
BlackZzzverrR [31]

Answer:6 by 9

I was stuck on thus question too for a while but then I went back and figured everything.


4 0
3 years ago
Read 2 more answers
Please help me. find the value of x.
Monica [59]

Answer:

y = 166

Step-by-step explanation:

Find missing angle in smaller one and equate.

= 360 - 116 - 61 - 90

= 360 - 267

= 93

y - 73 = 93

y = 166

6 0
2 years ago
BRAINLIEST IF NO SPAM OR LINKS, WILL REPORT IF SO.
kati45 [8]

Answer:  dot plot 1 is 6

dot plot 2 is 15

dot plot 3 is 13

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Step-by-step explanation:

4 0
3 years ago
Is 3(2)^x equivalent to 1.5(2^x)(2^1)
Volgvan

Answer:

Yes

Step-by-step explanation:

1.5(2^x)(2^1)

1.5x2^x x2

3x2^x

6 0
3 years ago
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