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grin007 [14]
3 years ago
14

Create a table of data for two different linear functions. The table should use the same values of x for both functions. Based

on your table, will the graphs of these two functions intersect? Explain your answer.
Mathematics
1 answer:
melomori [17]3 years ago
5 0
<span>A table of data for two different linear functions using the same values of x for both functions is shown below:

</span>\begin{tabular}&#10;{|c|c|c|}&#10;x&y=2x+7&y=-x+4\\[1ex]&#10;-3&2(-3)+7=-6+7=1&-(-3)+4=3+4=7\\&#10;-2&2(-2)+7=-4+7=3&-(-2)+4=2+4=6\\&#10;-1&2(-1)+7=-2+7=5&-(-1)+4=1+4=5\\&#10;0&2(0)+7=0+7=7&-(0)+4=0+4=4\\&#10;1&2(1)+7=2+7=9&-(1)+4=-1+4=3\\&#10;2&2(2)+7=4+7=11&-(2)+4=-2+4=2\\&#10;3&2(3)+7=6+7=13&-(3)+4=-3+4=1&#10;\end{tabular}

From the table, it can be seen that when x = -1, the function y = 2x + 7 has a value of 5 and the function y = -x + 4 has a value of 5.

Therefore, the graph of the two functions will intercect at (1, 5)
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5 0
3 years ago
The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the c
ANEK [815]

Answer:

The expression used to find the change in temperature per hour is Algebraic expression

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

Step-by-step explanation:

A temperature falls from 0 to  - 12\dfrac{1}{4}     in     3\dfrac{1}{2} \ hours

Which expression finds the change in temperature per hour.

From the above given information;

The initial temperature is 0

The final temperature is  - 12\dfrac{1}{4}  

The change in temperature is \Delta T = T_2  -  T_1

\Delta  T = -12\dfrac{1}{4} -0

\Delta T = -12.25

Thus;

-12.25 ° = 3.5 hours

To find the change in x°   per hour; we have;

x°            = 1 hour

The expression used to find the change in temperature per hour is Algebraic expression

From above if we cross multiply ; we have;

(- 12.25° × 1 hour) = (x° × 3.5 hour)

Divide both sides by 3.5 hours; we have:

\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}

x° =  - 3.5

x° = - 3\dfrac{1}{2}

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
10% of 1200 is what number?<br> Step by step please
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Step by step explanation:
Divide 1200 by 10
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