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Math and Arithmetic

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Aurore Cartwright

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Cards in this guide (24)
What is the value of the function x2 plus 3 at x equals 5

f(x) = x2 + 3 ----> f(5) = (5)2 + 3 ----> f(5) = 28

Common factors of 81 36

The factors of 81 are 1, 3, 9, 27, and 81. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The common factors of 81 and 36 are 1, 3, and 9.

At exactly noon you pass mile marker 50 in your car At 230 pm you pull into a rest stop at mile marker 215 What was your average speed during this time

Notation: ( x , y ) where x is the time passed after noon and y is the mile marker

"At exactly noon you pass mile marker 50 in your car"

( 0 , 50 )

"At 230 pm you pull into a rest stop at mile marker 215"

( 2.5 , 215 )

"What was your average speed during this time?" Average speed = (change in y) / (change in x) = ( 215 miles - 50 miles ) / ( 2.5 hours - 0 hours)

= ( 165 miles ) / ( 2.5 hours ) = 66 miles per hour (mph)

Does 2.4 plus 1.4 equal to 1

No, 2.4 + 1.4 = 3.8. but 2.4 minus or subtract 1.4 equals 1 (2.4 - 1.4 = 1)

Suzanne can read 1 page in 3 minutes. how many pages can she read in 5 hours

1 hour = 60 minutes

5 hours = (5 x 60) = 300 minutes = (300 / 3) = 100 pages

Which of the following represents a direct variation function

Any function of the form Y = cX where X and Y are variables and c is a constant.

Determine the slope of the line that passes through the points

Where are the points!

What is the mean of the numbers 11 7 20 2 and 10

(11+7+20+2+10)/5 = 50/5 = 10

Do dark sodas or clear sodas have more fizz

Dark Sodas

What equation of the line that contains the point 1 -1 and 2 -2

Choose the equation of the line that contains the points (1, -1) and (2, -2).

What is the minimum pitch requirement on a roof

the pitch of a 7-12 roof slope meaning that for 12" of horizontal measurement (roof run) the vertical measurement (roof rise) is 7".

Not totally sure but I believe the minimum to be about a 3-7 inch pitch

3 inch roof rise per 7 feet of horizontal measurement

If a slope has a value of 18 this means the vertical change for the graph is 18 units What is the horizontal change for the graph

Slope is equal to the change in y divided by the change in x (also known as "rise over run"). If a slope is 18 , then it "rises" 18 units, for every 1 unit of x.

How do you tell whether a graph shows a constant or variable rate of change

The slope of each point on the line on the graph is the rate of change at that point.

If the graph is a straight line, then its slope is constant. If the graph is a curved line,

then its slope changes.

What is 0.8 - 3.5

-2.7

Determine the slope of a line passing through the points12 5 and 6 7 how do you Enter fractions as numerator denominator

-1/3

What will be the correlation for the graph of this equation y equals 14x

Since y=14x is a perfect linear relation, the correlation would be 1.

What is a synonym and antonym for the word coefficient

Multiplier and divisor, respectively.

What is the rate of change of a line called

slope

How tall is a stack of 55 dimes in millimeters

A dime is 1.35 mm so 55 dimes stack to 74.25 mm.

What number if used as a slope would produce a graph steeper than the function y -5x

-- Any number less than -5 is a steeper line sloping down.

-- Any number greater than +5 is a steeper line sloping up.

What is the average rate of plane in miles per hour that traveled 900 miles in 2.5 hours

900/2.5 = 360 miles per hour

In what direction is the line containing the point 5 9 and -5 -5 going

A line containing the point 5 9 and -5 -5 is going from the bottom left to the top right. It is a positive slope.

What does the slope mean on a line graph

Rate of change of the "vertical" variable in relation to the "horizontal" variable.

Can the graph of a function have an undefined slope

Yes and the straight line could be parallel to the x or y axes

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