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3 years ago

Which expression is equivalent to the given expression? Assume the denominator does not equal zero.

Mathematics

1 answer:

MatroZZZ [7]3 years ago

4 0

Answer:

Step-by-step explanation:

$\dfrac{a^{m}}{a^{n}}=a^{m-n} \ if \ m > n\\\\\\
\dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}} \ if \ n > m\\$

$\dfrac{16r^{6}z^{3}}{8r^{2}z^{6}}=\dfrac{2r^{6-2}}{z^{6-3}}\\\\
=\dfrac{2r^{4}}{z^{3}}$

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Read 2 more answers

the relationship between the x- and y- values in each table is linear. write a function. find the amount and rate of change. (5

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(5)

Since, the relationship is linear

so, we can use point slope form of line and find equation of line

we can select any two points

first point is (4,10)

so, x1=4 , y1=10

second point is (7,17.5)

so, x2=7 , y2=17.5

now, we can find slope

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

now, we can plug values

$m=\frac{17.5-10}{7-4}$

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now, we can use point slope form of line

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

now, we can plug values

$y-10=2.5(x-4)$

we get

$y=2.5x$

Initial amount:

It is the value of y when x=0

so, we can plug x=0 and find y

$y=2.5\times 0$

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So, initial amount is 0

Rate of change:

we know that rate of change is slope

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(6)

Since, the relationship is linear

so, we can use point slope form of line and find equation of line

we can select any two points

first point is (2,29)

so, x1=2 , y1=29

second point is (5,41)

so, x2=5 , y2=41

now, we can find slope

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

now, we can plug values

$m=\frac{41-29}{5-2}$

$m=4$

now, we can use point slope form of line

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

now, we can plug values

$y-29=4(x-2)$

we get

$y=4x+21$

Initial amount:

It is the value of y when x=0

so, we can plug x=0 and find y

$y=4\times 0+21$

$y=21$

So, initial amount is 21

Rate of change:

we know that rate of change is slope

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3 years ago

A school district has two high schools. The district could only afford to hire 13 guidance counselors. Determine how many counse

Umnica [9.8K]

Answer:

Lowell: 4 counselors

Fairview: 9 counselors

2 new counselors

Step-by-step explanation:

How many counselors should be assigned to each school using Hamilton's method?

Number of students

Lowell: 3584

Fairview: 6816

Total number of students: 10400

Divisor D = (Total number of students)/(number of counselors)= 10400/13 = 800

Temporal assignment

3584/800 = 4 + 0.48 ==> 4 counselors for Lowell

6816/800 = 8 + 0.52 ==> 8 counselors for Fairview

There is one counselor left. According to Hamilton's method she should be assigned to the school with the largest remainder, that is Fairview.

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Fairview: 9 counselors

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Step-by-step explanation:

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3 years ago

Which expression is equivalent to the given expression? Assume the denominator does not equal zero. ​

Which expression is equivalent to the given expression? Assume the denominator does not equal zero.