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Georgia [21]
3 years ago
8

Ten times a number increased by 4 is no more than twenty-five

Mathematics
1 answer:
Anon25 [30]3 years ago
6 0
10x+4\leq25

Is that what you need?
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Express each of the following in standard form 0.0 0 0 0 0 0 0 0 0 2 2 1​
Anastasy [175]
answer= 2.21 x 10^-10
3 0
3 years ago
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}
6 0
3 years ago
A cheetah ran 300 feet in 2.92 seconds. What was the cheetah’s average speed in miles per hour? Show your work.
alexdok [17]

Answer:

about 70.0 mph

Step-by-step explanation:

speed = distance/time

(300 ft)/(2.92 s)·(1 mi)/(5280 ft)·(3600 s)/(1 h) = (300·3600/(2.92·5280)) mi/h

≈ 70.0498 mi/h

8 0
3 years ago
Write and graph an equation to represent the situation.
gulaghasi [49]

464 divide by 16 is 29. So y would be 29


3 0
3 years ago
The bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip. What was the total bill including the tip?
katen-ka-za [31]

Answer:

156.86

Step-by-step explanation:

The tip of fifteen percent will be $20.46

The total will be $156.86

6 0
3 years ago
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