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2 years ago

Find the solution to the following equations below

Mathematics

1 answer:

zvonat [6]2 years ago

8 0

Answer: A. infinite solutions

B. no solution

C. one solution

Step-by-step explanation:

A. firstly we distribute: -2x-6=-2x-6

since they are the same it is infinite solutions.

B. firstly we distribute: 4x-4=1/2x-4

=2x=0

x=0

C. 3x-7=10+4x

x=17

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A model rocket is launched with an initial velocity of 200 ft per second. The height h, in feet, of the rocket t seconds after t

Solnce55 [7]

Answer:

2.10 s, 10.40 s.

Step-by-step explanation:

We know that the height of the rocket is given by the function:

$h=-16t^2+200t$

We are asked to find the time for which the height of the rocket will be 350 ft. So, for that moment, we know the height but we don't know the time; however, we know that the equation can help us to find the time, doing h=350:

$350=-16t^2+200t$

The last is a quadratic equation, which can be put in the form $at^2+bt+c=0$ and solved applying the formula:

$t=\frac{-b+-\sqrt{b^2-4ac} }{2a}$

So, let's put the equation on the form $at^2+bt+c=0$ adding $16t^2$ and subtracting $200t$ to each side of the equation; the result is:

$16t^2-200t+350=0$

So, we note that a=16, b=-200, and c=350.

Then,

$t_1=\frac{200-\sqrt{200^2-4*16*350} }{2*16}=2.10$

$t_2=\frac{200+\sqrt{200^2-4*16*350} }{2*16}=10.40$

According to the equation, that are the times for which the height will be 350 ft; that is because the rocket is going to ascend and then to fail again to the ground.

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3 years ago

Round off the following numbers to two decimal places 1.2.1) 0,77677 1.2.2) 34,2784682

andre [41]

1) 0.78
2) 34.28
This is because the number in the 3rd decimal place for both numbers is 5 or above so it is rounded up rather than down.

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2 years ago

3x^2+24x+9=0 in vertex form (completing the square)

Drupady [299]

Answer:

I tried everything and either I'm doing it wrong or you wrote this wrong

Step-by-step explanation:

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Answer:

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Answer:

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