The function that best models the linear relationship will be y = 22,000x + 40,000.
Let the number of years be represented by x.
From the information given, the delivery truck has 40,000 miles on its odometer and travels an average of 22,000 miles per year, this will then be;
y = 40000 + (22000 × x)
y = 40000 + 22000x
Therefore, the function that best models the linear relationship will be y = 22,000x + 40,000.
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Unit rate is used in mathematics to compare one quantity with another quantity.
The unit rate to the nearest hundredth is $0.010
From the question, we know that 12 fl oz is $1.19. To find the unit rate,
12 fl oz = $1.19
1 fl oz = ?
Cross Multiply
1 fl oz x $1.19 / 12 fl oz
= $0.099166
To the nearest hundredth, the unit rate is $0.010
Therefore, the unit rate to the nearest hundredth is $0.010
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The ratio of the numbers of red, green and blue pens is 3:1:2
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that, In a box of pens, there are three times as many red pens as green pens and two times as many green pens as blue pens.
Let the number of green pens be x,
Then the number of red pens = 3x
Number of blue pens = 2x
Ratio = 3x:x:2x
= 3:1:2
Hence, the ratio of the numbers of red, green and blue pens is 3:1:2
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For this case we have the following expression:
We look for the factors of each coefficient.
We have then:
Taking the biggest common factor we have:
Therefore, the factored expression is given by:
Answer:
the factored expression is given by: