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Sphinxa [80]
4 years ago
6

Determine the solution set of (3x + 1)2 - 100 = 0.

Mathematics
1 answer:
viktelen [127]4 years ago
5 0
Solve for x.
(3x+1)2-100=0
(3x+1)2=100
3x+1=100/2
3x=50-1
x=49/3
x=16.33333
Hope that helps. If you have any other questions feel free to ask me
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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.

4 0
3 years ago
Jake asked 25 students in his class how close they live to school .the frecuencia table shows the results
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That's great so what the question
7 0
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Jenni bakes two rectangular cakes to put on top of each other. Each cake is 9 in wide, 13 in long, and 2 in high. How many squar
omeli [17]

Answer:

Step-by-step explanation:

we will need to find the volume of the frosting

V=l*w*h

V=2(13*2*9)= 468 in^2 of frosting for the cake

3 0
3 years ago
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
vekshin1

Simplify:

A(n) = -6 + (n - 1)(6) = -6 + (n)(6) + (-1)(6) = -6 + 6n - 6 = 6n - 12

Put n = 1, n = 4 and n = 10 to the expression:

A(1) = 6(1) - 12 = 6 - 12 = -6

A(4) = 6(4) - 12 = 24 - 12 = 12

A(10) = 6(10) - 12 = 60 - 12 = 48

<h3>Answer:</h3><h3>first term = -6, fourth term = 12 and tenth term = 48.</h3><h3>-6, 12, 48</h3>
7 0
3 years ago
Read 2 more answers
Quiz
sweet [91]

Answer:

9 points

Step-by-step explanation:

4 points in first half + 5 points in second half = 9 points total in the entire game.

6 0
3 years ago
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