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2 years ago

13

A number plus 16 times its reciprocal equals 4. Find all possible values for the number.(My question was not answered correctly

for this time I earnestly beg for someone to give the steps and a proper answer.)

1 answer:

Gwar [14]2 years ago

6 0

Answer:

-8±√17 and -8±6√2

Step-by-step explanation:

1. x+16/x=4, x^2+16-4x=0. x=-8±√17

2. x+16/x=8, x^2+16-8=0. x=-8±6√2

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Find the inverse of the function

lozanna [386]

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

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$\left( \cfrac{x+1}{6} \right)^3=2y+5\implies \left( \cfrac{x+1}{6} \right)^3-5=2y\implies \cfrac{\left( \frac{x+1}{6} \right)^3-5}{2}=y \\\\\\ \cfrac{\left( \frac{x+1}{6} \right)^3}{2}-\cfrac{5}{2}=y\implies \cfrac{~~ \frac{(x+1)^3}{6^3}~~}{2}-\cfrac{5}{2}=y\implies \cfrac{(x+1)^3}{432}-\cfrac{5}{2}=\stackrel{y}{h^{-1}(x)}$

4 0

2 years ago

Phantasy [73]

Answer:

B.

Step-by-step explanation:

Take the square root of x^2 which would make the left side x and the right side the square root 5

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4 years ago

Read 2 more answers

Given a cylinder with a diameter of 23 mm and a volume of 12464.27 mm3, find the area of the vertical cross-section that goes th

Hitman42 [59]

Cylinder Volume = <span><span>¼ • </span><span>π • d² • height</span></span>
<span>
12,464.27 = .25 * PI * 23^2 * height

height = </span><span>12,464.27 /</span><span> .25 * PI * 23^2 </span>

height = 12,464.27 /<span> .25 * PI * 529

</span>height = 12,464.27 / <span><span><span>415.4756284373 </span> </span> </span> <span>

</span><span>height = 30 mm

The vertical cross-section would be 23 mm * 30 mm =
690 SQUARE millimeters (NOT cubed as the answer says).
answer is C

</span>

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3 years ago

Attachment image = question<br><br><br> please answer

Svet_ta [14]

Answer:

In group A, they have at least one 90 degree angle. In Group B, they do not have any 90 degree angles.

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3 years ago

Lauren dove into a swimming pool from a 15 foot high diving board with an initial upward velocity of 8 feet per second find the

slamgirl [31]

It will take Lauren 1.25 seconds to hit the water.

With the given information, we can write the following quadratic equation.

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You will get 1.25 and -0.75 as the zeros of the equation (where Laruen hits the water).
Only 1.25 makes sense in the context of this problem.

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4 years ago