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astraxan [27]
3 years ago
12

Solve for x: 4x+16 = 2(2x+16)

Mathematics
1 answer:
Gre4nikov [31]3 years ago
5 0
First lets expand the expression using distributive property

( 4x + 16 = 4x + 32)
Next lets cancel 4x on both sides

(16 = 32)

Since we know sixteen equaling thirty-two is not correct, there is no answer.

*I got 16 = 32 by simplifying the first step of expanding and there really is no need to subtract 16 from both sides, you can but either way its no answer just same result.
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A rocket takes off from a height of 30 feet with an initial velocity of 150 ft /sec. The equation that models the path that the
algol13

Answer:

The rocket will hit the floor at 9.57 seconds

Step-by-step explanation:

Given

G(x) = -16x^2 + 150x + 30

Take off height = 30ft

Initial velocity= 150ft/s

Required [Missing from the question]

Time to hit the ground

The rocket will hit the ground at:

G(x) = 0

So, we have:

0 = -16x^2 + 150x + 30

Rewrite as:

16x^2 - 150x - 30=0

Solve using quadratic formula, we have:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

Where:

a= 16\\ b = -150\\ c = -30

So, we have:

x = \frac{-(-150) \± \sqrt{(-150)^2 - 4*16*(-30)}}{2*16}

x = \frac{150 \± \sqrt{22500 +1920}}{32}

x = \frac{150 \± \sqrt{24420}}{32}

x = \frac{150 \± 156.27}{32}

Split:

x = \frac{150 + 156.27}{32}\ or\ \frac{150 - 156.27}{32}

x = \frac{306.27}{32}\ or\ \frac{-6.27}{32}

Time cannot be negative;

So:

x = \frac{306.27}{32}

x = 9.57

<em>Hence, the rocket will hit the floor at 9.57 seconds</em>

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3 years ago
The store is having a sale 2 an a half pounds of sugar for $10.50. What is the unit price in a division sentence?
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4 years ago
I'm currently taking Developemental Math and I need help with compound interests. Can anyone help?
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Hello there,

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4 years ago
8
blondinia [14]
I’m guessing 8 is the radius so the formula is 2pi(r)

And when you plug in 8 into r you have 2pi(8)

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3 years ago
Help me solve this problem; In a metal alloy, the ratio of zinc to copper is 3 to 17. If there are 850 lbs of copper, how much i
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Answer:

how much is there what??

Step-by-step explanation:

zinc = 150lbs

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5 0
3 years ago
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