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Snezhnost [94]
3 years ago
9

Function: y= x^2 + 5x - 7 Vertex: Solutions: ( , ) and ( , )

Mathematics
1 answer:
lara [203]3 years ago
5 0

Answer:

Vertex is (-2.5, - 13.25) and x=(-5±sqrt(53))/2

Step-by-step explanation:

x^2+5x-7

x^2+5x+(2.5)^2-(2.5)^2-7

(x+2.5)^2-13.25. Vertex is (-2.5, - 13.25)

Solution of the functions are x=(-5±sqrt(53))/2

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Hi! I need help with the attached question in calc. Thank you:)
Elena L [17]

Answer:

3π square units.

Step-by-step explanation:

We can use the disk method.

Since we are revolving around AB, we have a vertical axis of revolution.

So, our representative rectangle will be horizontal.

R₁ is bounded by y = 9x.

So, x = y/9.

Our radius since our axis is AB will be 1 - x or 1 - y/9.

And we are integrating from y = 0 to y = 9.

By the disk method (for a vertical axis of revolution):

\displaystyle V=\pi \int_a^b [R(y)]^2\, dy

So:

\displaystyle V=\pi\int_0^9\Big(1-\frac{y}{9}\Big)^2\, dy

Simplify:

\displaystyle V=\pi\int_0^9(1-\frac{2y}{9}+\frac{y^2}{81})\, dy

Integrate:

\displaystyle V=\pi\Big[y-\frac{1}{9}y^2+\frac{1}{243}y^3\Big|_0^9\Big]

Evaluate (I ignored the 0):

\displaystyle V=\pi[9-\frac{1}{9}(9)^2+\frac{1}{243}(9^3)]=3\pi

The volume of the solid is 3π square units.

Note:

You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:

\displaystyle V=\frac{1}{3}\pi(1)^2(9)=3\pi

We acquire the exact same answer.

8 0
3 years ago
Can i have some help i spent a lot of points and it didn't work :((((
Ivahew [28]

Answers for A:

Factored form: (x-2)(x+4)

Zeros: x = 2, -4

Vertex: (-1, -9)

Answers for B:

Factored form: -(x+2)(x+7)

Zeros: x = -2, -7

Vertex: (-9/2, 25/4)

5 0
2 years ago
PLEASE HELP AS SOON AS POSSIBLE!!!!WILL GIVE BRAINLY TO CORRECT ANSWER!!!!
SSSSS [86.1K]

Answer:

-7 meters

Step-by-step explanation:

-15 after diving down

-15+8 because 8 meters up

-15+8=7

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3 years ago
What is 1/8 of the sum of 28 and 43
victus00 [196]
1/8 of anything is just 1/8 * anything, so   \bf \cfrac{1}{8}\times (28+43)
3 0
3 years ago
What is the best measure of central tendency for the data below?
xeze [42]
I would say the mode because there are a ton of numbers that are the same.
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