Answer:
Austin should use 8.2 gallons of 65% acid solution and 3.8 gallons 5% acid solution
Step-by-step explanation:
Let
x ----> the gallons of 65% acid solution needed
y ----> the gallons of 5% acid solution needed
Remember that
we know that
-----> equation A
-----> equation B
Solve the system by graphing
The solution is the intersection point both graphs
using a graphing tool
The solution is (8.2,3.8)
therefore
Austin should use 8.2 gallons of 65% acid solution and 3.8 gallons 5% acid solution
You must solve for x in order to balance the equations.
x= 3
6(3)+5=3(3)+14
18+5= 9+14, which is 23=23
x equals 3 and both equations equal to 23.
Please vote my answer brainliest! Thanks.
By observing the graph we can note down the following things about the boundary line:
- It has a positive slope.
- It cuts the X-axis at
- It cuts the Y-axis at $(0,-x)$, where $|x|$ is some value less than 2 but greater than 1.
Let's look at the shaded region. The origin lies inside it.
Thus, the point $(0,0)$ satisfies the equation of the region.
Upon putting it in the options, we find that only two options: 2 and 4 satisfy the inequality $0<5$
Now find the Y-intercept of the boundary line:
Option 4) $0-2y=5$
$y=\frac{-5}{2}<-2$
Since it is smaller than -2, it is the wrong option.
Hence, correct option is $\boxed{x-3y<5}$
You can determine whether a graph is a function or not if it’s points create a straight , consistent line. there will be no curves or intersecting lines on the graph.
