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2 years ago

For which function is the ordered pair (5,10) not a solution ?

Mathematics

2 answers:

PilotLPTM [1.2K]2 years ago

4 0

Answer:

Step-by-step explanation:

Because

a) 10 = 2(5) = 10

b) 10 = 5 + 5 = 10

c) 10 = 15 -5 = 10

d) 10 = 5 - 5 = 0 the result is not equivalent

lapo4ka [179]2 years ago

3 0

Answer:

the ordered pair (5, 10) is not a solution is

y = x - 5

y = 10 - 5

y = 5

the ordered pair is (5, 5)

the answers are b and d

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Find the average value of the function on the given interval.<br> f(x)=ex/7; [0,7]

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Answer:

$f_{avg}=e-1$

Step-by-step explanation:

We are given that a function

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Using the formula

$f_{avg}=\frac{1}{7-0}\int_{0}^{7}e^{\frac{x}{7}} dx$

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$\int e^{ax}=\frac{e^{ax}}{a}$

$f_{avg}=(e-e^0)=e-1$

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3 years ago

What is the equation of a line that is parallel to -x+3y=6 and passes through the point (3,5)?

Elena-2011 [213]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

We have the following line:

$-x + 3y = 6\\3y = x + 6\\y = \frac {1} {3} x + \frac {6} {3}\\y = \frac {1} {3} x + 2$

Thus, the slope is: $m_ {1} = \frac {1} {3}$

Then $m_ {2} = \frac {1} {3}$

So, the line is of the form:

$y = \frac {1} {3} x + b$

We substitute the point $(x, y) :( 3,5)$ and find b:

$5 = \frac {1} {3} (3) + b\\5 = b$

Thus, the equation is:

$y = \frac {1} {3} x + 5$

Answer:

$y = \frac {1} {3} x + 5$

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