Answer:
x < 3
Step-by-step explanation:
5x+7x<36
12x<36
Divide both sides by 12
x<3
<span>Answer:
The multiplication factor of increase should be inverse of the multiplication factor of decrease.
e.g. Say you have a number 100.
You increase it by 25%. The multiplication factor is 5/4 i.e. when you multiply 100 by 5/4, you get 100*5/4 = 125. This is 25% more than 100.
Now you want to decrease it by a certain % such that you get 100 back.
Basically, 100*5/4 * x = 100
So x = 4/5 (inverse of 5/4)
Hence, you decrease by 20% (the multiplication factor of 20% is 4/5)
or
Use this formula: cumulative % change = a + b + ab/100
You want the cumulative change to be 0.
a + b + ab/100 = 0
If you know that you are increasing by 25% and want to find the % by which you should decrease to get the same number,
25 + b + 25b/100 = 0
5b/4 = -25
b = -20
So you need to decrease (hence you get the -ve sign) by 20%.</span>
Answer:
t = [0.493,4.2]
Step-by-step explanation:
The height of the rocket straight up into the air is given by :

We need to find the interval the rocket be at least 43 feet above the ground.

So, the required interval during which the rocket is at least 43 feet above the ground is [0.493,4.2].
I: 2x+y=5
II:3x+2y=4
start by eliminating y
-2*I: -4x-2y=-10
II: 3x+2y=4
add both equations together
-2*I+II: -4x-2y+3x+2y=-10+4
-1x=-6
x=6
insert x=6 into I:
2*6+y=5
y=5-12
y=-7
so the solution is x=6, y=-7
Keywords
system; linear equations; graphing; solution
we have
-------> equation A
----> equation B
The <u>system</u> of <u>linear equations</u> is composed of equation A and equation B
Substitute the equation B in equation A
Find the value of x
![x=4-2[17/4]=-4.5](https://tex.z-dn.net/?f=x%3D4-2%5B17%2F4%5D%3D-4.5)
The<u> solution</u> is the point 
Using a <u>graphing</u> tool
see the attached figure
therefore
the answer is the option A
