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kap26 [50]
3 years ago
14

What are the solutions of the equation 6x^2+5x+1=0

Mathematics
1 answer:
Leokris [45]3 years ago
6 0

The solutions are:

x= -1/2, x =  -1/3


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a small rocket is shot from the edge of a cliff suppose that after t seconds the rocket is y meters above the cliff where y=30t-
Natalka [10]

Answer:

Greatest height: 45 meters

Time for greatest height: 3 seconds

Height after 5 seconds: 25 meters above the cliff

Time for height of 40 meters: 7.123 seconds

Height after 7 seconds: -35 meters (35 meters below the cliff)

Step-by-step explanation:

to find the maximum height, we need to calculate the derivative of y in relation to t and then find when dy/dt = 0:

dy/dt = 30 - 10t = 0

10t = 30

t = 3 seconds

In this time, the height is:

y = 30*3 - 5*3^2 = 45 meters

After 5 seconds, the height is:

y = 30*5 - 5*5^2 = 25 meters

The time for the height of 40 meters is:

40 = 30t - 5t^2

t^2 - 6t - 8 = 0

Using Bhaskara's formula, we have:

Delta = 6^2 + 4*8 = 68

sqrt(Delta) = 8.246

t1 = (6 + 8.246) / 2 = 7.123 seconds

t2 = (6 - 8.246) / 2 = -1.123 seconds (negative value for time is not valid)

So the time when the rocket reaches 40 meters is 7.123 seconds

After 7 seconds, the height is:

y = 30*7 - 5*7^2 = -35 meters

The rocket will be 35 meters below the cliff.

5 0
3 years ago
What is the equation of the parabola, in vertex form, with focus at (2,-4) and directrix y=-6?
viktelen [127]
B I did this to:) it’s pretty easy once u get the hang of it
7 0
3 years ago
Read 2 more answers
What is the greatest common factor (GCF) of 15 and 64? <br>1. (3) <br>2.(4)<br>3.(8)<br>4.(1)​
omeli [17]
It’s 1.

Explanation: you need to find the greatest factor that works out for them both. You can cross out 4 and 8 because no other whole number can be multiplied to get 15, and it’s not 3 since you can’t multiply it with a whole number to get 64. 1 works for them both.
4 0
3 years ago
Read 2 more answers
Simplify the expression.<br> 2u + 8u - 5u
MAXImum [283]

Answer:

= 5u

Step-by-step explanation:

You combine like terms

( 2u+ 8u = 10u )

( -5u + 10 u =5u)

3 0
3 years ago
A circle has an area of 4040 square meters. Which answer is closest to the measure of its diameter?
ch4aika [34]
Well the answer I got was closest to 71.

3.14 x radius squared = area

If you divide 4040 by 3.14 you get radius squared which is 1286.6242
If you square root it you get the radius which is 35.869544
If you multiply the radius by 2 you get diameter which is about 71.739088
7 0
3 years ago
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