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Pavlova-9 [17]
3 years ago
6

Can someone please explain how to do this problem?

Mathematics
2 answers:
GarryVolchara [31]3 years ago
3 0
For x= -1, find -1 on the x axis and draw a vertical line. For y=6, look for 6 on the y axis and draw a horizontal line.
ryzh [129]3 years ago
3 0
You have to put the two numbers on the graph where they have to go. The six goes on the y axis(it's the line going up and Down) and you put the -1 on the x axis (which is the horizontal line, going left to right)

Hope this helps
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Jack is 4 times as old as lacy. 4 years ago the sum of their ages was 22. How old are they now
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4 x 22 =?

the question mark is how old they'll be.

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1 day= ____________ seconds <br> Please show the work!!
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86400 seconds

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8 0
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Which statement is true about the graphs of the two lines y = –6 and x =1/6 ?
sweet-ann [11.9K]
These lines are perpendicular because y = -6 is a horizontal line with a slope of 0 and x = 6 is a vertical line with an undefined slope
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Consider the region bounded by the curves y=|x^2+x-12|,x=-5,and x=5 and the x-axis
Tasya [4]
Ooh, fun

what I would do is to make it a piecewise function where the absolute value becomse 0

because if you graphed y=x^2+x-12, some part of the garph would be under the line
with y=|x^2+x-12|, that part under the line is flipped up

so we need to find that flipping point which is at y=0
solve x^2+x-12=0
(x-3)(x+4)=0
at x=-4 and x=3 are the flipping points

we have 2 functions, the regular and flipped one
the regular, we will call f(x), it is f(x)=x^2+x-12
the flipped one, we call g(x), it is g(x)=-(x^2+x-12) or -x^2-x+12
so we do the integeral of f(x) from x=5 to x=-4, plus the integral of g(x) from x=-4 to x=3, plus the integral of f(x) from x=3 to x=5


A.
\int\limits^{-5}_{-4} {x^2+x-12} \, dx + \int\limits^{-4}_3 {-x^2-x+12} \, dx + \int\limits^3_5 {x^2+x-12} \, dx

B.
sepearte the integrals
\int\limits^{-5}_{-4} {x^2+x-12} \, dx = [\frac{x^3}{3}+\frac{x^2}{2}-12x]^{-5}_{-4}=(\frac{-125}{3}+\frac{25}{2}+60)-(\frac{64}{3}+8+48)=\frac{23}{6}

next one
\int\limits^{-4}_3 {-x^2-x+12} \, dx=-1[\frac{x^3}{3}+\frac{x^2}{2}-12x]^{-4}_{3}=-1((-64/3)+8+48)-(9+(9/2)-36))=\frac{343}{6}

the last one you can do yourself, it is \frac{50}{3}
the sum is \frac{23}{6}+\frac{343}{6}+\frac{50}{3}=\frac{233}{3}


so the area under the curve is \frac{233}{3}
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3 years ago
How many units long is AC?
Nonamiya [84]
The answer is B
6 units
3 0
3 years ago
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