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sladkih [1.3K]
3 years ago
15

Wendy played her favorite video game for 8 hours last week. Today, Wendy's parents restricted her to 6 additional hours each wee

k for the next 9 weeks create the function f(x) that models Wendy's total time and explain what each number in the situation represents graphically using complete sentences
Mathematics
1 answer:
ira [324]3 years ago
7 0
This is going to be a linear function. On the horizontal axis, you will have weeks. On the vertical axis will be weeks. The slope of the line is 6/1 = 6, since she plays 6 hrs/week. At week 0 (the y-axis), the value will be 8, since that is the initial number of hours played. Therefore, the equation is: f(x) = 6x+8 f(x) is # hours x = #'d weeks.
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A football is kicked up into the air. Its height, H, above the ground, in meters, at t seconds can be modelled by () = 24 − 4.9^
MrRa [10]

Correct question is;

A football is kicked up into the air. Its height, H, above the ground, in meters, at t seconds can be modelled by () = 24 − 4.9²

(a) Determine the expression for the instantaneous rate of change in height at time t.

(b) Determine ' (2) What does ' (2) represent?

Answer:

A) '() = 24 − 9.8

B) '(2) = 4.4 m/s

It means that at a distance of 2 m above the ground, the speed of the ball is 4.4 m/s

Step-by-step explanation:

We are given the function to represent the height as;

() = 24 − 4.9²

A) expression for the instantaneous rate of change in height at time t will be gotten by differentiation of the height function. Thus;

'() = 24 − 9.8

B) '(2) = 24 - 9.8(2)

'(2) = 4.4 m/s

This means that at a distance of 2 m above the ground, the speed of the ball is 4.4 m/s

7 0
3 years ago
4. Ariel loves to go to baseball games. This season she has already attended 23 New York Ducks games. If
san4es73 [151]

Answer: She attended to 7 weekday games.

Step-by-step explanation:

Let's denote our variables as:

Wd = number of weekday games that she attended.

We = number of weekend games that she attended.

We know that in total, she attended to 23 games, so we have:

Wd + We = 23.

"If  Ariel attended nine more weekend games than weekday games" can be written as:

We = Wd + 9.

Then we have the system of equations:

Wd + We = 23.

We = Wd + 9.

The first step would be to replace the second equation into the first one, as:

Wd + We = 23.

Wd + (Wd + 9) = 23

Now we can solve this for Wd.

2*Wd + 9 = 23

2*Wd = 23 - 9 = 14

Wd = 14/2 = 7

She attended to 7 weekday games.

And:

We + 7 = 23

We = 23 - 7 = 16

She attended at 16 weekend games.

6 0
3 years ago
Find the tenth term of an arithmetic sequence if the third term is 19 and the sixth term is 37.
larisa [96]

\bf \begin{array}{|ll|ll} \cline{1-2} term&value\\ \cline{1-2} a_3&19\\ a_4&19+d\\ a_5&19+d+d\\ a_6&19+d+d+d\\ &19+3d\\ &\\ \cline{1-2} \end{array}~\hspace{5em} \begin{array}{llll} \stackrel{a_6}{37}=19+3d\implies 18=3d \\\\\\ \cfrac{18}{3}=d\implies 6=d \end{array}


since we know the <u>common difference</u> is d is 6, then to get from the 6th term to the 10th term, we use d 4 more times.

6th term..................37

7th term...................37 + 6

8th term...................37 + 6 + 6

9th term...................37 + 6 + 6 + 6

10th term...................37 + 6 + 6 + 6 + 6

.....................................61.

7 0
3 years ago
Read 2 more answers
Simplify the expression 417000 x 0.0002
Amanda [17]
Please see picture above.

5 0
3 years ago
How do I solve an equation with different variables on both sides? here is an example.
Goryan [66]

Answer:

Step-by-step explanation:

9x - 2c = k

    9x = k + 2c

     x  = (k + 2c)/9

8 0
3 years ago
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