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balu736 [363]
3 years ago
9

Determine in which direction the parabola below opens. y = x2 - 7x + 18?

Mathematics
1 answer:
Eddi Din [679]3 years ago
8 0
I need help with the answer

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What is the product?
Thepotemich [5.8K]

Step-by-step explanation:

correct answer is

\binom{ - 5 \: 2}{6 \:  - 2}

4 0
3 years ago
How do I solve: x^2+3=84.
balandron [24]

Answer:

x=9, x=-9

Step-by-step explanation:

subtract 3 from both sides

x^2=81

then squareroot both sides (remember that there is a positive and negative solution!)

x=9, x=-9

7 0
2 years ago
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question 12(multiple choice worth 1 points) (03.05 lc) what is the volume of a sphere with a radius of 6 inches? 112π cubic inch
Sladkaya [172]

 volume of a sphere with a radius of 6 inches is 288π cubic inches.

<h3>What is volume of a sphere?</h3>

A sphere is a collection of points in space that are separated from the center by an amount r. The volume of a solid in three dimensions is the area it occupies. The cubic is the unit of volume ( in3,ft3,cm3,m3 , etc ). Ensure that all measurements are made in the same unit before estimating the volume. A sphere's volume, V, is equal to four thirds of pi times the square of the radius.

V=43πr3

Half of the connected sphere's volume makes up a hemisphere. A sphere's volume is 2/3 that of a cylinder with the same radius and height that is equal to its diameter.

To know more about volume of sphere, visit;

brainly.com/question/9994313

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4 0
2 years ago
On a piece of paper, graph f(x) = 4 . (3)*. Then determine which answer
adoni [48]
There is not a way to answer this because we don’t know what the graph you drew was.
7 0
4 years ago
Calculus 2 Master needed, show steps with partial fraction decomposition <img src="https://tex.z-dn.net/?f=%5Cint%283x%5E2-26x%2
Vladimir79 [104]

Answer:

-ln|x−5| + 2 ln(x²+4) + 3 tan⁻¹(x/2) + C

Step-by-step explanation:

The fraction will be split into a sum of two other fractions.

The first fraction will have a denominator of x − 5.  The numerator will the a polynomial of one less order, in this case, a constant A.

The second fraction will have a denominator of x² + 4.  The numerator will be Bx + C.

\frac{3x^{2}-26x+26}{(x-5)(x^{2}+4)}=\frac{A}{x-5} +\frac{Bx+C}{x^{2}+4}

Combine the two fractions back into one using the common denominator.

\frac{A}{x-5} +\frac{Bx+C}{x^{2}+4}=\frac{A(x^{2}+4)+(Bx+C)(x-5)}{(x-5)(x^{2}+4)}

This numerator will equal the original numerator.

A(x^{2}+4)+(Bx+C)(x-5)=3x^{2}-26x+26\\Ax^{2}+4A+Bx^{2}-5Bx+Cx-5C=3x^{2}-26x+26\\(A+B)x^{2}+(C-5B)x+(4A-5C)=3x^{2}-26x+26

Match the coefficients.

A+B=3\\C-5B=-26\\4A-5C=26

Solve the system of equations.

A=-1\\B=4\\C=-6

So we can rewrite the integral as:

\int {(\frac{-1}{x-5}+\frac{4x-6}{x^{2}+4}) } \, dx

Solving:

\int {\frac{-1}{x-5}\, dx + \int {\frac{4x}{x^{2}+4}} \, dx - \int {\frac{6}{x^{2}+4} } \, dx

-\int {\frac{1}{x-5}\, dx + 2\int {\frac{2x}{x^{2}+4}} \, dx - 6\int {\frac{1}{x^{2}+4} } \, dx

-ln|x-5| + 2ln(x^{2}+4) - 6(\frac{1}{2} tan^{-1}(\frac{x}{2} )) + C

-ln|x-5| + 2ln(x^{2}+4) - 3 tan^{-1}(\frac{x}{2} ) + C

5 0
3 years ago
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