Distribute the - which changes the signs in the second parenthesis.
2t^3 + 3t - 4 - 4t^2 + 6t
Combine like terms, must have same exponent. Write in order of degree.
2t^3 - 4t^2 + 9t - 4
Multiply by 4 is your rule
3 x 4 = 12
6 x 4 = 24
12 x 4 = 48
To solve for the answer for 24, multiply it by 4
24 x 4 = 96
96 is the match for 24
hope this helps
8.9-3.3j=-2.2j+2.3
add 3.3j to both sides
8.9=1.1j+2.3
subtract 2.3 from both sides
6.6=1.1j
divide both sides by 1.1
6=j
Answer:
There were 20 picks total
Step-by-step explanation:
We can use a proportion to solve this problem. Put the orange picks on top and the total picks on bottom
3 orange 12 orange
-------------- = ---------------
5 total x total
Using cross products
3x = 5*12
3x= 60
Divide each side by 3
3x/3 = 60/3
x = 20
There were 20 picks total
Answer:
The rocket hits the gorund after approximately 10.71 seconds.
Step-by-step explanation:
The height of the rocket <em>y</em> in feet <em>x</em> seconds after launch is given by the equation:

And we want to find the time in which the rocket will hit the ground.
When it hits the ground, its height above ground will be 0. Hence, we can let <em>y</em> = 0 and solve for <em>x: </em>
<em />
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We can use the quadratic formula:

In this case, <em>a</em> = -16, <em>b</em> = 165, and <em>c </em>= 69.
Substitute:

Evaluate:

Hence, our solutions are:

Since time cannot be negative, we can ignore the first answer.
So, the rocket hits the gorund after approximately 10.71 seconds.