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4 years ago

What is (10/3) squared?

Mathematics

2 answers:

Burka [1]4 years ago

8 0

$(\frac{10}{3})^{2} = \frac{10^{2}}{3^{2}} = \frac{100}{9}$

stiks02 [169]4 years ago

3 0

$\hbox{ We know that } (\frac{a}{b} )^2= \frac{a^2}{b^2}$
$(\frac{10}{3} )^2= \frac{10^2}{3^2}=\boxed{\boxed{ \frac{100}{9} }}$

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Please helppp with this math question <333

Naya [18.7K]

Answer:

The average rate of change of the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$ is -1

Step-by-step explanation:

We are given the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$

We need to find average rate of change.

The formula used to find average rate of change is : $Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}$

We have b=-1 and a=-11

Finding g(b) = g(-1)

$g(x)=x^2+10x+18\\Putting \ x=-1\\g(-1)=(-1)^2+10(-1)+18\\g(-1)=1-10+18\\g(-1)=9$

Finding g(a) = g(-11)

$g(x)=x^2+10x+18\\Putting \ x=-11\\g(-11)=(-11)^2+10(-11)+18\\g(-1)=121-110+18\\g(-1)=29$

Finding average rate of change

$Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{9-29}{-1-(-11)}\\Average \ rate \ of \ change=\frac{-10}{-1+11}\\Average \ rate \ of \ change=\frac{-10}{10}\\Average \ rate \ of \ change=-1$

So, the average rate of change of the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$ is -1

5 0

3 years ago

(?,3) is on the line y=2x+5 what is the other coordinate

Dmitriy789 [7]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Substitute it into the equation:

3 = 2x + 5

Subtract 5 from both sides:

-2 = 2x

Divide both sides by 2:

x = -1

The other coordinate is -1

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

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3 years ago

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Jack Thomas has an ice cream cone with 280 calories. How long would it take him to burn off the calories by:

mariarad [96]

Well, it depends on what he's doing. Is he walking, jogging, or running? If he walked at a normal pace for an hour he would burn 415calories.

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3 years ago

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How do I find b in y=mx+b?

Ainat [17]

Answer:

In the equation y = mx + b for a straight line, the number m is called the slope of the line. Let x = 0, then y = m • 0 + b, so y = b. The number b is the coordinate on the y-axis where the graph crosses the y-axis.

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3 years ago

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At Pizzazz Pizza, the total price for 5

ira [324]

Answer:

The answer to your question is $9.5

Step-by-step explanation:

Data

Large pizza = L

Medium pizza = m

Write equation for both situations

Situation 1 5L + 2m = 81.5

Situation 2 4L + 3m = 78.5

Solve the system of equation by elimination

Multiply situation 1 by -3 and situation 2 by 2

-15L - 6m = -244.5

8L + 6m = 157

-7L = -87.5

Solve for L L = -87.5/-7

L = $12.5

Substitute L in Situation 1 to find m

5(12.5) + 2m = 81.5

62.5 + 2m = 81.5

2m = 81.5 - 62.5

2m = 19

m = 19/2

m = $ 9.5

The prize of a medium pizza is $9.5

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3 years ago