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Andrews [41]
3 years ago
8

3. A. Mr. Sullivan is organizing teams for the middle school’s annual field day. There are eight classes at the school and 21 st

udents in each class. ​What is the total number of students at the school?
3.B. Mr. Sullivan wants to have 12 students on each team. ​How many teams will there be?


PLEASE NEED HELP AND THE STEPS
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
3 0

Answer:

Step-by-step explanation:

A)Total number of students at the school= Number of classes * number of students in each class

= 8 *  21

= 168 students.

B) Number of teams=Total students÷ Number of students in each team

= 168/12

= 14

There will be 14 teams

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Answer:

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Stretching f(x) by 4 : g(x) =8x - 24

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Step-by-step explanation:

Given

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Required

Match the transformations (See attachment)

<u>Shift 4 units down</u>

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In this case:

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Substitute expression for f(x) and 4 for b in g(x) = f(x) - b

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g(x) = 2x - 10

<u>Stretching f(x) by 4 </u>

Stretching a function by some units is represented as:

g(x) =b.f(x)

In this case:

b = 4

Substitute expression for f(x) and 4 for b in g(x) =b.f(x)

g(x) =4 * (2x - 6)

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<u>Shift 4 units left</u>

Shifting a function to the left is represented as:

g(x) = f(x - b)

In this case:

b = 4

Substitute expression for f(x) and 4 for b in g(x) = f(x - b)

g(x) = f(x-4)

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f(x - 4) = 2(x - 4) - 6

f(x - 4) = 2x - 8 - 6

f(x - 4) = 2x - 14

Hence:

g(x) = 2x - 14

<u>Compress by 1/4 units </u>

This means that the function is stretched by 1/\frac{1}{4}

Compressing a function is represented as:

g(x) =f(bx)

In this case:

b = 1/\frac{1}{4}

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Substitute expression for f(x) and 4 for b in g(x) =f(bx)

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Calculating f(4x)

f(4x) = 2(4x) - 6

f(4x) = 8x - 6

Hence:

g(x)  = 8x - 6

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