piecewise function.
Express the function graphed on the axes below as a
Please help me
Answers
The piecewise function is:
f(x) = x + 1 if x < 2
f(x) = -7x + 42 if x > 5
How to express the function graphed?On the graph we can see a piecewise function (piecewise means that it has different equations defined for different intervals in the domain).
On the left side, we can see a linear equation that comes from negative infinity and ends at x = 2 with an open circle (so the domain does not contain that value).
That line passes through (-1, 0) and (0, 1), then the slope is:
a = (1 - 0)/(0 -(-1)) = 1
And the y-intercept is y = 1, then the equation of the line is:
y = x + 1
The other line starts at x = 5 (again, open circle) and keeps going, it passes through the points (5, 7) and (6, 0)
The slope is:
a = (0 - 7)/(6 -5) = -7
Then the line is something like:
y = -7*x + b
To find b, we use the point (6, 0)
0 = -7*6 + b
7*6 = 42 = b
Then this line is:
y = -7x + 42
Concluding, the piecewise function is:
f(x) = x + 1 if x < 2
f(x) = -7x + 42 if x > 5
The complete question is : Help please!! Express the function graphed on the axes below as a piecewise function.
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Answer:
soln
A=(9,j)
x1=9,y1=j
B=(10,4)
x2=10,y2=4
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by using the fomulaof slope,
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Answer:
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Step-by-step explanation:
(9 , j) ; [tex]x_{1}= 9[/tex] and [tex]y_{1} = j[/tex]
(10, 4) ; [tex]x_{2} = 10[/tex] and [tex]y_{2} = 4\\\\[/tex]
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ \frac{4 - j}{10-9} = 1\\\\\frac{4 - j}{1}=1[/tex]
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-j = 1 -4
-j = -3 {Multiply both sides by (-1) }
j = 3
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9514 1404 393
Answer:
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The mass of Sand that Carla needs to purchase for the sand tank is gotten to be; 25811 g
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No, this is not a plausible value for the population mean, because 30 is not within the 95% confidence interval.
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Step-by-step explanation:
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9514 1404 393
Answer:
40°
Step-by-step explanation:
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The measure of inscribed angle B is half the measure of the arc it subtends:
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Answers
Answer:
[tex]\displaystyle a = \frac{8}{5}[/tex].
Step-by-step explanation:
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[tex]\displaystyle \frac{x_1}{x_2} = \frac{y_1}{y_2}[/tex].
Equivalently:
[tex]\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex].
For the two vectors in this equation to be parallel to one another:
[tex]\displaystyle \frac{a}{4} = \frac{2}{5}[/tex].
Solve for [tex]a[/tex]:
[tex]\displaystyle a = \frac{8}{5}[/tex].
[tex]\displaystyle \frac{8}{5}[/tex] would be the only valid value of [tex]a[/tex]; no other value would satisfy the [tex]\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex] equation.
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Answers
Answer:
66 1/6ft
Step-by-step explanation:
I have calculated by saying perimeter =2(length+width). I think that's the answer hope it helps.
Answer: 46 1/4
Step-by-step explanation:
Perimeter = (L+W) x 2
So basically ... (10 1/4 + 12 5/6) x 2
Which would be ... 23 1/12 x 2
Which gives you the answer of 46 and 1/4