Answer:
b. between 2.8 and 2.9
Step-by-step explanation:
Simplify the square root of radical 8; radical 8 = 2 radical 2
Simplify the radical in decimal form, to the nearest tenth; 2.8
It's too hard for me to show all the work, but you can find a common denominator in 8.
Change 3/4 to 6/8 and -3/2 to -12/8.
Now that all the fractions have the same denominator, you can multiply the whole problem by 8 and cancel out all denominators.
You are left with 6=3x-12
Add 12 to 6 and cancel out on the right side.
18=3x
Divide by 18 by 3
x=6
(( AY + AC ) / B ) + C = y
Answer: 2x + y < 7
Step-by-step explanation:
In the graph we can see that:
The line is a dashed line, and the shaded area is below the dashed line, then we will have something like:
y < a*x + b
We also can see that the slope of the line is negative, and that the y-intercept is +7
Then the inequality will be something like:
y < a*x + 7
Now we can see that the line passes through the points (0, 7) and (3, 1)
Then the slope will be:
a = (1 - 7)/(3 - 0) = -6/3 = -2
that is negative, as we already said.
Then we have:
y < -2*x + 7
we can rewrite this as:
2x + y < 7
This is the first solution shown.
Slope-intercept form is:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
(there is probably another way to do this, but I will be doing it this way)
Isolate the "y" in the equation
3x + 4y = 12 Subtract 3x on both sides
4y = 12 - 3x Divide 4 on both sides
or 
The slope is -3/4
For lines to be parallel, they have to have the SAME slope. The given line's slope is -3/4, so the slope of the parallel line is also 
