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siniylev [52]
3 years ago
9

Tanya is training a turtle for a turtle race. For every of an hour that the turtle is crawling, he can travel of a mile. At what

unit rate is the turtle crawling?
Mathematics
1 answer:
Daniel [21]3 years ago
5 0
1 Mile per hour because 1 mile for every hour<span />
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The graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is
Tju [1.3M]

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is

f(x)=-0.05x^2+2.5x+5.2

Where f(x) is height of the ball and x is the distance.

It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

-\infty

Factorize the given function.

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-52x+2x-104)

f(x)=-0.05(x(x-52)+2(x-52))

f(x) = -0.05 (x - 52) (x + 2)

Put f(x)=0 to find the x intercepts.

0 = -0.05 (x - 52) (x + 2)

Equate each factor equal to 0.

x=52,-2

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.

Distance cannot be negative, therefore the reasonable domain must be positive.

0\leq x\leq 52

Therefore the reasonable domain is 0\leq x\leq 52 and option 4 is correct.

6 0
2 years ago
Jamal works as an electrician’s apprentice. He rewired 4 electrical outlets in 1 1/2 hours. If he works at the same pace for 7.5
RSB [31]

This can be solve by first solving the proportionality constant

Number electic outlets rewired is directly proportional to time spent

4 = (1 ½)a

Let be the proportionality constant

A = 8/3

O = (8/3)(7.5)

o = 20 outlets will jamal rewired if he works for 7.5 hrs 

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Attached solution and work.

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