Answer:
(a) 24 ft
(b) 2.5 s
Step-by-step explanation:
At t=2
h=-2(2)^{2}+10(2)+12=12+20-8=24 ft
Therefore, height after 2 s=24 ft
(b)
As it hits the ground, t is maximum and at maximum t, we differentiate the function to have
h=-4t+10 and h=0 hence
4t=10 hence t=10/4=2.5 seconds
Given:
The system of equations:
To find:
The number that can be multiplied by the second equation to eliminate the x-variable when the equations are added together.
Solution:
We have,
...(i)
...(ii)
The coefficient of x in (i) and (ii) are 1 and 
respectively.
To eliminate the variable x by adding the equations, we need the coefficients of x as the additive inverse of each other, i.e, a and -a So, a+(-a)=0.
It means, we have to convert into -1. It is possible if we multiply the equation (ii) by -5.
On multiplying equation (ii) by -5, we get
...(iii)
On adding (i) and (iii), we get
Here, x is eliminated.
Therefore, the number -5 can be multiplied by the second equation to eliminate the x-variable.
In order to convert a fraction into a decimal, you can do one of two ways. I'll do the manual way, first since that's probably what your teacher would prefer.
First, find something that will multiply in the denominator that will equal 10,100,1000.
In this case, it will be 1,000.
1,000 ÷ 8 = 125.
So, you will multiply both the numerator and the denominator by 125.
3 x 1,000 = 375
8 x 125 = 1,000
Now, you have a BIG fraction of 375/1,000 but it's OKAY! Why? You're almost done.
Take your numerator of 375. Since your denominator has 3 zeros in it, you'll be moving your decimal 3 places to the right (from the imaginary decimal in front of the 3). So, we'll have 0.375.
So, your decimal of 3/8 is 0.375.
____________________________________________________
Now, for the easiest way!
You will simply divide 3 ÷ 8 = 0.375
He’d make 13 packages; each one would have 1 player and 3 headphones.
Tina:38x +$15
Zion: 38x
Hope this helps. Sorry if the expression is in the wrong form.
