Eva played her favorite video game for 14 hours last week. Today, Eva's parents restricted her to 4 additional hours each week for the next 7 weeks. Create the function, f(x), that models Eva's total video game time, and explain what each number in the situation represents graphically, using complete sentences.

Answers

Answer 1

Answer: The function would be:
f(x) = 14 + 4x; 0 ≤ x ≤ 7

The y-intercept would be 14. This is the point when the line would hit the y-axis. The slope would be 4 and the range is 0 to 7. At x =7, the value of the function would be 42.

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Which Greek mathematician is known as the Father of Geometry

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If (-3, y) lies on the graph of y = (1/2)x, then y =

Answers

Y= 1/2 • (-3), because x=-3

Answer:

y=-1.5

Step-by-step explanation:

the equation is y=1/2x, and x=3. -3*1/2=-1.5

Solve the differential equation by separation of variables
x(dy/dx)=4y

Answers

get all your x one on side and y on the opposing sideso we have
xdy=4ydx
dy/y=4dx/x
integrate both sides
lny=4lnx+C
y=e^(4lnx+C)
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Which sequence is modeled by the graph below?coordinate plane showing the points 2, 1; 3, 2; 4, 4; and 5, 8

an = one half(2)n − 1
an = 2(2)n − 1
an = 4(−2)n − 1
an = 2(one half)n − 1

Answers

First, we inspect what type of sequence is the order of the coordinates:
a2 = 1
a3 = 2
a4 = 4

Getting the difference,
a3 - a2 = 1
a4 - a3 = 2

The differences are not equal; hence, the sequence is not arithmetic.

Getting the ratio:
a3/a2 = 2
a4/a3 = 2

The common ratio is 2. Using the general form for a geometric series:
an = a1 r^(n-1)
If n = 2
1 = a1 (2)^(2-1)
a1 = 1/2

So,
an = (1/2) (2)^(n-1)

The answer is the first option.

Answer:

an = one half(2)n − 1

Find the LCM of the set of polynomials.

4m^3p, 9mp^4, 18m^4p^2