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Nana76 [90]
3 years ago
8

Which of the following gives all of the coefficients of the algebraic expression -2x2 + 17 -15x + 7xy?

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
8 0
The answer for ur question is -15,-2 and 7

Stels [109]3 years ago
3 0
The answer is -15, -2,7
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Evaluate Dx / ^ 9-8x - x2^
Solnce55 [7]
It depends on what you mean by the delimiting carats "^"...

Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for \sqrt x.

In that case, you want to find the antiderivative,

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}

Complete the square in the denominator:

9-8x-x^2=25-(16+8x+x^2)=5^2-(x+4)^2

Now substitute x+4=5\sin y, so that \mathrm dx=5\cos y\,\mathrm dy. Then

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\int\frac{5\cos y}{\sqrt{5^2-(5\sin y)^2}}\,\mathrm dy

which simplifies to

\displaystyle\int\frac{5\cos 
y}{5\sqrt{1-\sin^2y}}\,\mathrm dy=\int\frac{\cos y}{\sqrt{\cos^2y}}\,\mathrm dy

Now, recall that \sqrt{x^2}=|x|. But we want the substitution we made to be reversible, so that

x+4=5\sin y\iff y=\sin^{-1}\left(\dfrac{x+4}5\right)

which implies that -\dfrac\pi2\le y\le\dfrac\pi2. (This is the range of the inverse sine function.)

Under these conditions, we have \cos y\ge0, which lets us reduce \sqrt{\cos^2y}=|\cos y|=\cos y. Finally,

\displaystyle\int\frac{\cos y}{\cos y}\,\mathrm dy=\int\mathrm dy=y+C

and back-substituting to get this in terms of x yields

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\sin^{-1}\left(\frac{x+4}5\right)+C
4 0
3 years ago
In a survey 9 out of 15 named math as their favorite class. express this rate as a decimal
ZanzabumX [31]
0.6 is 9/15 as a decimal.
3 0
3 years ago
How many terms of series 64+16+4 have the sum 5461\64?
umka2103 [35]

Answer:

5th term will approximate 5461/64

Step-by-step explanation:

5th term will approximate 5461/64

64+16+4+1+0.25 = 85.25 ≈ 5461/64 = 85.33

3 0
2 years ago
-1/3(24+3)-1<br> i need help please <br> it is 24 points
AysviL [449]
Um -1/3(24+3)-1 = -10

So -10 is the answer
7 0
2 years ago
Read 2 more answers
The hypotenuse of a 30- 60- 90 triangle has length 17. what is the length of the side opposite the 60 angle? if necessary, round
oksano4ka [1.4K]
Side opposite 30 = 1/2(hypotenuse) ⇒ 1/2(17) = 8.5
Side opposite 60 = \sqrt{3}(side opposite 30) ⇒ 8.5 \sqrt{3} = 14.72 when rounded 2 decimal places
8 0
3 years ago
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