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Ksenya-84 [330]
1 year ago
13

A track runner ran for 15 minutes, walked for 15 minutes, ran for another 20 minutes, and then stretched in place for 10 minutes

.Which graph describes the relationship between runner's total distance and time?

Mathematics
1 answer:
Dominik [7]1 year ago
6 0

Note that:

When the track runner runs, he is expected to cover more distance than when walks

When he stretches his body, he is not expected to cover any distance because there is no motion when the body is stretched in place.

By carefully observing the graphs shown, the correct graph will be plotted in the format below:

Long distance for the first 15 minutes

Short distance for the second 15 minutes

Longer distance for the next 20 minutes

No distance covered in the last 10 minutes

Therefore, the only graph that describes the relationship between the runner's total distance and time is option B

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The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?
nignag [31]

Answer:

B. g(x)=(x+7)^2-3

Step-by-step explanation:

Vertex form is F(x)= a(x-h)^2+k

a is the reflection

h and k are the vertex (x,y) = (h,k)

in this case there is no shrink or stretch (a)

if it is translating left or right it is "h". In this case it is translated left so its -7.  However if you look at vertex form it is "x-h" so -7-7= +7

If it translating up or down it is "K".  In this case it is translated down so its -3.  

If it was translated up or right then its positive.  If it was translated down or left its negative.

After you figure out what h and k are then you just plug it in.  h=-7, k=-3

so the answer in vertex form is, g(x)=(x+7)^2-3

5 0
2 years ago
Place the quadratic y=2x^2+24x+79 into vertex form by using the method of completing the square and then state the coordinates o
katrin2010 [14]

Answer:

y=2(x+6)^2+7

(-6,7)

Step-by-step explanation:

y=2x^2+24x+79

Completing the square is a process of converting a quadratic equation in standard form into vertex form.

The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.

y=(2x^2+24x)+79

Factor out the coefficient of the quadratic term,

y=2(x^2+12x)+79

Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.

y=2(x^2+12x+36-36)+79

Simplify,

y=2(x^2+12x+36)+79+(2)(-36)

y=2(x+6)^2+79-72

y=2(x+6)^2+7

The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.

(-6,7)

7 0
3 years ago
Given f(x)=-x+7 and g(x)=f(x+4) write a function for function g
finlep [7]

\begin{array}{llrlll}f(x) = -x +7&~\hspace{10em} &f\left( \boxed{x+4} \right) &=& \boxed{-x+4}+7\\\\&&g(x) &=& -x+11\end{array}

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3 years ago
You cut out a piece of me, and now I bleed internally
Crank

Answer: huh

Step-by-step explanation:

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Zoe is 16 years old. Her brother, Luke, is 3 years more than half her age. Write a numerical expression for Luke's age.
olga nikolaevna [1]

Answer:

<u><em>16 : 2 + 3 </em></u>  (remember pemdas)

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Zoe is 16 years old. Her brother, Luke, is 3 years more than half her age. Write a numerical expression for Luke's age.

16 : 2 + 3 = 11

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