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3 years ago

WORTH 100 POINTS need the answers asap

Mathematics

1 answer:

IRINA_888 [86]3 years ago

5 0

Answer:

$f(x) = x^2 , x < 2$

$f(x) = 5, 2\leq x < 4$

Step-by-step explanation:

In the given graph, we have a parabola with a small line near it.

The given parabola goes up to a point where x = 2 but fails to reach that value. Also, x = 2 starts on the line above where x = 2 and ends right before x = 4.

Therefore, the function can be modeled by:

$f(x) = x^2 , x < 2$

$f(x) = 5, 2\leq x < 4$

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An amusement park sells child and adult tickets at a ratio of 3:1. On Saturday, they sold 63 adult tickets. How many child ticke

nalin [4]

Answer:

The number of child tickets sold by the amusement park is 189.

Step-by-step explanation:

Let A represent the number of adult tickets and C represents the number of child tickets, therefore we have:

3:1 = C:A .................... (1)

Where;

C = ?

A = 63

Substituting for the value into equation (1), we have:

3:1 = C:63

This can be converted to solve for C as follows:

3 / (3 + 1) = C / (C + 63)

3 / 4 = C / (C + 63)

0.75 = C / (C + 63)

0.75(C + 63) = C

0.75C + (0.75 * 63) = C

0.75C + 47.25 = C

47.25 = C - 0.75C

47.25 = 0.25C

C = 47.25 / 0.25

C = 189

Therefore, the number of child tickets sold by the amusement park is 189.

4 0

3 years ago

Let the function f(x) have the form f(x) = Acos(x - C). To produce a graph that

Ugo [173]

Answer:

C=2

Step-by-step explanation:

Because I got it correct in AP3X

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3 years ago

I have worked out trapezium's area but didn't work out triangle's. I need it fast, for tomorrow

Soloha48 [4]

Answer:

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3 years ago

40.51x+12.45y=666.64

irga5000 [103]

Answer:

The graph of the equation 40.51x+12.45y=666.64 is attached with the answer where the horizontal axis represents the X axis and the vertical axis represents Y axis.

To plot the graph physically just find two points lying on the line. Mark the points on the graph sheet and then join them. This will give you the line represented by the equation.

To find points on the line assume the value of any one variable, substitute it in the equation, then solve the equation to find the value of other variable. For example : assume y = 1; substitute the value of y in the equation;

⇒ 40.51x + 12.45×1 = 666.64

⇒ 40.51x = 666.64 - 12.45

⇒ 40.51x = 654.19

⇒ x = $\frac{654.19}{40.51}$

⇒ x ≈ 16.149

Therefore point ( 16.149 , 1 ) lie on the graph of the equation.

***Only two points are required to plot this graph just because it represents a straight line, that we can conclude just by observing the equation. If in an equation the power of x is 1 or 0 and power of y is 1 or 0 then only it will represent a straight line in 2-D plane.***

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3 years ago

If f(x) = 2x + 6 and g(x) = -4x - 8 find f(g(x)) = ?x+?

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3 years ago