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Sav [38]
3 years ago
7

1.) 6x + 3x^2 - x - x^2

Mathematics
2 answers:
svlad2 [7]3 years ago
7 0

Answer:

the answer is x=1/3y+1 y=3x−3

but wat the question?

shutvik [7]3 years ago
5 0

\large \mathfrak{Solution : }

1. 6x + 3x² - x - x²

  • 3x² - x² + 6x - x

  • 2x² + 5x

2. 5 + 2x + y + 2x - 1

  • 2x + 2x + y + 5 - 1

  • 4x + y + 4

3. 2x + 2y + x² - x + x²

  • x² + x² + 2x - x + 2y

  • 2x² + x + 2y

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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
How much greater is this week’s median temperature than last week’s median temperature?
Scrat [10]

Answer:

5 degrees

Step-by-step explanation:

5 0
2 years ago
What is three and 2 fourths and minus two and three fourths
netineya [11]

Answer:

The answer is 0.75

Hope this helps!

3 0
1 year ago
P(x)= 3x^5+2x^4+x^3-10x-8
erik [133]
Jdhdhjndbdhwndndbfbbdnd
3 0
3 years ago
HELP ME AND YOU'LL GET 95 POINTS ASAP
Makovka662 [10]

Answer: See explanation. Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

To find the rate of change, subtract then divide. This is especially a good strategy when you have the x and y values when x = 0:

604 - 460 = 144

144 divided by 18 =

8

Therefore, the rate of change is 8. We can even go further to create an equation for this:

y intercept = 460 (because 0 multiplied by the rate of change would be 0).

slope = 8

Slope-intercept form: y = mx + b --> y = 8x + 460

Hope this helps, please consider making me Brainliest.

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