Answer:
x = 0.75
Step-by-step explanation:
Simplifying
(7x + -5) + -1(3x + -2) = 0
Reorder the terms:
(-5 + 7x) + -1(3x + -2) = 0
Remove parenthesis around (-5 + 7x)
-5 + 7x + -1(3x + -2) = 0
Reorder the terms:
-5 + 7x + -1(-2 + 3x) = 0
-5 + 7x + (-2 * -1 + 3x * -1) = 0
-5 + 7x + (2 + -3x) = 0
Reorder the terms:
-5 + 2 + 7x + -3x = 0
Combine like terms: -5 + 2 = -3
-3 + 7x + -3x = 0
Combine like terms: 7x + -3x = 4x
-3 + 4x = 0
Solving
-3 + 4x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 4x = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 4x = 0 + 3
4x = 0 + 3
Combine like terms: 0 + 3 = 3
4x = 3
Divide each side by '4'.
x = 0.75
Simplifying
x = 0.75
Answer:
D
Step-by-step explanation:
Answer:
where is the dot plot??
Step-by-step explanation:
If the equation is -(2/3) x - (1/4) y = 1/3, it is a straight line, so you can use some special points to identify the graph.
It is easier is you solve the equation for y:
(1/4)y = - 1/3 - (2/3) x
y = (-4/3) - (8/3)x
That is the slope -y-intercept form of the equation.
That means that the slope is -8/3, and the y-intercept is -4/3.
Use this points to identify the graph:
x = 0 => y = - 4/3 ---> (0, - 4/3)
y = 0 => x = - 1/2 -----> (-1/2, 0)
Now you can punt those two points on the graph and draw the line that joins them.
With this procedure you can find the graph of any straight line.
Answer:
57.06 unit^2
Step-by-step explanation:
find the area of the rectangle = 12*12 = 144 unit^2
the area of the circle = pi*r^2 = 3.14*8^2 = 201.06 unit^2 (rounded to the nearest hundredth)
then the "shaded area" is the difference
201.06 - 144 = 57.06 unit^2
