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ozzi
3 years ago
10

HELP TAKING MY EXAM!!! What are the factors of 2x2 + 3x - 54? Select two options.

Mathematics
1 answer:
Stels [109]3 years ago
7 0

Answer:

2x^2 + 3x – 54 = (2x - 9) (x + 6), so A and F

Step-by-step explanation:

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y =
miss Akunina [59]

Answer:

381.18 cubic units

Step-by-step explanation:

Graph the region:

desmos.com/calculator/iwvreqjz2m

The region is a trapezoid.  When we rotate it about x = 1, we get a hollow cylinder shape.  We can either use washer method or shell method to find the volume.

If we find the volume using washer method, we'll have to use two integrals, one for the triangular part of the trapezoid and one for rectangular part.  If we use shell method, we only need one integral.  So let's use shell method.

Cut a thin, vertical slice of the region.  The width of this slice is dx.  The height of the slice is y₂ − y₁ = x − 0 = x.  The radius of the shell is x − 1.

The volume of the shell is:

dV = 2π (x − 1) (x) dx

dV = 2π (x² − x) dx

The total volume is the sum of all the shells from x=5 to x=7.

V = ∫ dV

V = ∫₅⁷ 2π (x² − x) dx

V = 2π ∫₅⁷ (x² − x) dx

V = 2π (⅓ x³ − ½ x² + C) |₅⁷

V = 2π [(⅓ 7³ − ½ 7² + C) − (⅓ 5³ − ½ 5² + C)]

V = 2π [⅓ 7³ − ½ 7² − ⅓ 5³ + ½ 5²]

V = 2π [⅓ (7³ − 5³) + ½ (5² − 7²)]

V = 2π [⅓ (218) + ½ (-24)]

V = 2π (72⅔ − 12)

V = 121⅓ π

V ≈ 381.18

The volume is approximately 381.18 cubic units.

6 0
3 years ago
Which expression is equivalent to 7/12?
Luden [163]

if i understand correctly what you mean by this question the answer could be

14/24

28/48

you can just keep multiplying the top and the bottom by the same number to get an equivalent fraction

im sorry if i understood the question wrong, i hope this helped a little bit

4 0
3 years ago
Read 2 more answers
A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
Sunny_sXe [5.5K]
11 cubic inches yahhhh

8 0
3 years ago
Read 2 more answers
1. Write the equation of the line that is described. Give your answer in slope-intercept form.
kirill115 [55]

Answer:

sign

Step-by-step explanation:

me up cause -2-2 perp to the minus of p+2 divided by 7 = X

3 0
3 years ago
Evaluate each expression. Order of operations<br> 1) (-2)+(5 + 5)2
Virty [35]

Answer:

18

Step-by-step explanation:

(-2)+(5 + 5)2

(-2)+(10)2

(-2)+20

-2+20=18

6 0
2 years ago
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