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Sati [7]
3 years ago
9

During his tennis career in singles​ play, John won 4 fewer tournament A titles than tournament B titles and 2 more tournament C

titles than tournament B titles. If he won 13 of these titles​ total, how many times did he win each​ one?
Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0
A-4=B
2+C=B
A+B+C=13

A=b+4
C=B-2
Plug in to equation 3
(B+4)+B+(B-2)=13
Rearrange
B=11/3
A=(11/3)+4= 23/3
C=(11/4)-2= 3/4
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I don’t understand this question?
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no, because it has a constant rate of change

Step-by-step explanation:

this is because the x and y change at the same rate. non linear means that they dont change at the same rate.

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Step-by-step explanation:

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The height of a parallelogram is 5 feet more than it's base. If the area of the parallelogram is 204 square feet, what is its ba
siniylev [52]
The base is x.
The height is 5 feet more than the base, so it's x+5.
The area of a parallelogram is the product of its base and its height. The area is 204 square feet.

x(x+5)=204 \\
x^2+5x=204 \\
x^2+5x-204=0 \\
x^2+17x-12x-204=0 \\
x(x+17)-12(x+17)=0 \\
(x-12)(x+17)=0 \\
x-12=0 \ \lor \ x+17=0 \\
x=12 \ \lor \ x=-17

The length of the base of a parallelogram must be a positive number, so x=12.

\hbox{the base:} \\ x=12 \\ \\
\hbox{the height:} \\ x+5=12+5=17

The base is 12 feet long, the height is 17 feet long.
8 0
2 years ago
Determine the amplitude or period as requested. Period of y = - 1/3 * sin 2x
Sedbober [7]

Answer:

Period = \pi

Step-by-step explanation:

Given

y = -\frac{1}{3} * \sin(2x)

Required

The period

A sine function is represented as:

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Where

Period = \frac{2\pi}{B}

By comparing:

y =A \sin(Bx + C) + D and y = -\frac{1}{3} * \sin(2x)

B = 2

So, we have:

Period = \frac{2\pi}{2}

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Answer:

The Answer to this problem is 150

Step-by-step explanation:

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Read 2 more answers
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