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3 years ago

At a music recital, there are 30 chairs.

Mathematics

2 answers:

Gnom [1K]3 years ago

7 0

30 chairs can be divided into 6 rows of 5. This would result in 5 columns.

dangina [55]3 years ago

3 0

There will be 5 columns, since 5 rows of six chairs would be 30 chairs overall
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Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x − 9)? T

egoroff_w [7]

Answer:

The graph of y = f(x) will shift to the right 9 units.

Step-by-step explanation:

Despite some lack of clarity, because usually this equality is in terms of x and y. Let's do it.

Taking f(x) as its parent function in other words

$y=f(x)$

Testing some values:

x|y

0|0

1|1

2|2

Adding to the function -9 units is to shift it to the right

$y=f(x-9)$

Testing some values to certify:

x|y

-9|0-9

-8|1-9

-7|2-9

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3 years ago

If f(x) is a linear function, f(−2)=4, and f(1)=−1, find an equation for f(x)

juin [17]

Answer:

$y = -\frac{5}{3}x+\frac{2}{3}$

Step-by-step explanation:

Given

$f(-2) = 4$

$f(1) = -1$

Required

The equation of the function

The given parameters means that:

$(x_1,y_1) = (-2,4)$

$(x_2,y_2) = (1,-1)$

Calculate the slope (m)

$m = \frac{y_2 -y_1}{x_2 -x_1}$

$m = \frac{-1-4}{1--2}$

$m = \frac{-5}{3}$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives:

$y =\frac{-5}{3}(x--2)+4$

$y =\frac{-5}{3}(x+2)+4$

Open bracket

$y = -\frac{5}{3}x-\frac{10}{3}+4$

Take LCM

$y = -\frac{5}{3}x+\frac{-10+12}{3}$

$y = -\frac{5}{3}x+\frac{2}{3}$

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3 years ago

Elyssa works as an assistant coach. She earns $10.95 per hour. How much will she get

saul85 [17]

Answer:

82.125

≈82.12 ( am not sure if it need to be estimated )

Step-by-step explanation:

1 hr -> 10.95

30m-> 5.475

10.95x7=76.65

76.65+5.475=82.125

≈82.12 ( am not sure if it need to be estimated )

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3 years ago

Calculate the average velocity of a dancer who moves 5 m toward the left of the stage over the course of 15 s.

Neko [114]

Answer:

Divide the distance by the time and get average velocity in units of m/s. The direction is to the left.

8 0

3 years ago

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∠C and ∠D are vertical angles with m∠C=−x+26 and m∠D=2x−10 . What is m∠D ? Enter your answer in the box.

Musya8 [376]

-x+26=2x-10
+x +10 +x +10
36+3x
divde by 3
12=x

m∠D=2(12)-10
=24-10
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4 years ago

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