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3 years ago

HEEELLLLLPPPPPPPPPPPP!!!!!!!

Mathematics

1 answer:

Mademuasel [1]3 years ago

4 0

Answer:

2x³ + 11x² + 8x - 16

Step-by-step explanation:

Multiply:

(x + 4) (2x² +3x - 4)

2x³ + 3x² - 4x + 8x² + 12x - 16

Combine like terms:

2x³ + 11x² + 8x - 16

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The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to

Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

$x^2=8y\implies y=\dfrac{x^2}8$

$y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0$

$\implies x=0,x=8\implies y=0,y=8$

The area of a semicircle with diameter $d$ is $\dfrac{\pi d^2}8$ . The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of $x$ between 0 and 8. Over this interval, $y^2=8x\implies y=\sqrt{8x}$ and $\sqrt{8x}>\dfrac{x^2}8$ , so the volume of this solid is given by the integral

$\displaystyle\frac\pi8\int_0^8\left(\sqrt{8x}-\dfrac{x^2}8\right)^2\,\mathrm dx=\frac{288\pi}{35}$

6 0

2 years ago

Describe some main differences between an Euler graph and a tree graph.

posledela

Answer:

The Obvious

Euler graph all connects almost like a circle

A tree graph looks like it branches off each other with no line connect in a circle like form

3 0

2 years ago

(10 POINTS AND BRAINLIEST FOR BEST)

Naddik [55]

Answer:

C. II only

Step-by-step explanation:

Basically all you need do is plug these answers in and if the complete the inequality to make a true statement.

Yes i know no body want to do that but that whats need to be done lol.

once i plug 7 12/7+8 = 12.83

12.83>20

is incorrect

so we need continue

7*2.5+8>20

7*2.5= 17.5

17.5+8= 25.5

25.5>20

this a true statement

so we know 2.5 is an answer

now we need plug in -3

7*-3= -21

-21 +8 = -13

-13>20

this is incorrect

6 0

3 years ago

Lucky Joe won $32,000,000 in a lottery. Every year for 10 years he spent 50% of what was left. How much did Lucky Joe have after

aniked [119]

Answer:

31,250

Step-by-step explanation:

32,000,000x0.5= 16,000,000

repeat the process 10 times and you've got 31,250

8 0

3 years ago

6. Find the function with x-intercepts (-3,0) and (5,0), which also goes through the point (1,8)

Yakvenalex [24]

Answer:

f(x) = (-1/2)(x^2 + 8x - 15)

Step-by-step explanation:

This function has two roots: -3 and 5. Most likely it is a quadratic (all of which have two roots).

Then f(x) = a(x + 3)(x - 5)

The graph goes through (1. 8): Therefore, y = 8 when x = 1:

f(1) = a(1 + 3)(1 - 5) = 8, or

a(4)(-4) = 8, or

-16a = 8, which leads to a = -1/2.

Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or

f(x) = (-1/2)(x^2 + 8x - 15)

4 0

2 years ago