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3 years ago

How to simplify g(x) = -2(x-1)(x+5)

Mathematics

1 answer:

Nadya [2.5K]3 years ago

7 0

Answer:

x=1 and x=-5

Step-by-step explanation:

To finally get the answer we will set everything equal to 0 so we will get

-2 = 0

This is an extraneous solution aka an answer that just doesn't make sense so we disregard the answer. This is really only useful to do if there is an x on the outside of the parenthesis.

x-1 = 0

add 1 on both sides

x-1

x+5=0

subtract 5 on both sides

x=-5

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If two dice are rolled, what is the probability that their sum will be 10, given that both dice are odd?

8090 [49]

Answer:

I think it is either 1/6 or 1/8

Hope it helps :)

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3 years ago

Really need help on my correction if anyone know please help!!

Olin [163]

Answers:
Question 19: 177 bpm
Question 20: 95˚F

Explanations:
Question 19:
You had the formula set up properly like this:
$R = \frac{885 \sqrt{25} }{25} = \frac{885(5)}{25} = \frac{4425}{25}$
This is where you went wrong - I don't know exactly what you did, but your division of 4425 ÷ 25 is wrong. You should have ended up with 177 which is the correct answer.
Question 20:
You had the formula set up correctly again, and merely used the wrong sign when adding 32.
$F = \frac{9(35)}{5} + 32 = \frac{315}{5} + 32$
This is where you went wrong. You subtracted 32 from 63 when you should have added it. (See red circle on your subtraction.)
63 + 32 = 95˚F

7 0

3 years ago

Pleaseeeeee Simplify t12/16

yKpoI14uk [10]

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3 years ago

A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one comp

Morgarella [4.7K]

Answer:

$y = 11 - 10cos(0.1\pi t)$

Step-by-step explanation:

Suppose at t = 0 the person is 1m above the ground and going up

Knowing that the wheel completes 1 revolution every 20s and 1 revolution = 2π rad in angle, we can calculate the angular speed

2π / 20 = 0.1π rad/s

The height above ground would be the sum of the vertical distance from the ground to the bottom of the wheel and the vertical distance from the bottom of the wheel to the person, which is the wheel radius subtracted by the vertical distance of the person to the center of the wheel.

$y = h_g + d_b = h_g + R - d_c$ (1)

where $h_g = 1$ is vertical distance from the ground to the bottom of the wheel, $d_b$ is the vertical distance from the bottom of the wheel to the person, R = 10 is the wheel radius, $d_c$ is the vertical distance of the person to the center of the wheel.

So solve for $d_c$ in term of t, we just need to find the cosine of angle θ it has swept after time t and multiply it with R

$d_c = Rcos(\theta(t)) = Rcos(\omega t) = 10cos(0.1\pi t)$

Note that $d_c$ is negative when angle θ gets between π/2 (90 degrees) and 3π/2 (270 degrees) but that is expected since it would mean adding the vertical distance to the wheel radius.

Therefore, if we plug this into equation (1) then

$y = h_g + R - d_c = 1 + 10 - 10cos(0.1\pi t) = 11 - 10cos(0.1\pi t)$

7 0

3 years ago

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sergey [27]

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3 years ago

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