Answer:
A. x=2, y = 7.
B. (2, 7).
Step-by-step explanation:
A. You can eliminate y by subtracting the equations:
y = 8x - 9
y = 4x - 1 Subtract:
0 = 4x - 8
4x = 8
x = 8/4 = 2.
Now substitute for x in the first equation:
y = 8(2) - 9 = 7.
Check in the second equation:
y = 4x - 1
7 = 4(2) - 1 = 7. Check is OK.
B. On the graph they will intersect at the point (2, 7).
They will intersect here because the values x=2 and y=7 satisfy both the 2 equations.
Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.
<h3>
How many liters of each solution do we need to use?</h3>
First, we need to define the variables:
- x = liters of the 35% acid used.
- y = liters of the 80% acid used.
We know that we want to produce 60 liters of 65% acid, then we have the system of equations:
x + y = 60
x*0.35 + y*0.80 = 60*0.65
(in the second equation we wrote the percentages in decimal form).
To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:
x = 60 - y
Replacing that in the other equation:
(60 - y)*0.35 + y*0.80 = 60*0.65
y*(0.80 - 0.35) = 60*(0.65 - 0.35)
y*0.45 = 60*0.30
y = 60*0.30/0.45 = 40
So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.
If you want to learn more about systems of equations:
brainly.com/question/13729904
#SPJ1
Answer:
Kristen is correct.
2^3 is the same thing as 2 times 2, times 2. 2 cubed = 8.
It's b 240000
I'm sorry if wrong I'm not too good at these things
The first graph is linear and the 2nd one is nonlinear
the first table goes for linear and the 2nd table goes for nonlinear :)
