It seems like you put the same equation up there twice, but no worries! :)
8x + 32 = 2(25x - 15) - 11x
Simplify.
8x + 32 = 50x - 30 - 11x
Add like terms.
8x + 32 = (50x - 11x) - 30
Simplify.
8x + 32 = 39x - 30
Now we must subtract 32 from both sides.
8x = 39x - 30 - 32
Then, subtract 39x from both sides.
8x - 39x = -30 - 32
Simplify.
-31x = -62
Finally, divide both sides by -31.
-31x ÷ -31 = -62 ÷ -31
Simplify.
x = 2
~Hope I helped!~
Answer:
The volume of the cylinder is 163.3 m³.
Step-by-step explanation:
Given that,
Height = 13 cm
Base = 4 cm
So, radius = 2 cm
We need to calculate the volume of the cylinder
Using formula of cylinder

Where, r = radius
h = height
Put the value into the formula


Hence, The volume of the cylinder is 163.3 cm³.
9514 1404 393
Answer:
- left 1 unit
- down 2 units
Step-by-step explanation:
The transformation g(x) = f(x -h) +k is a translation of f(x) to the right by h units and up k units.
1. h = -1, so the graph of g(x) is the graph of f(x) shifted left 1 unit. (blue)
__
2. k = -2, so the graph of g(x) is the graph of f(x) shifted down 2 units. (green)
Answer:
See description below.
Step-by-step explanation:
An inequality is an equation with more than one solution and they use <, >,
or
. There are a number of ways to work with inequalities.
Solving: To solve inequalities in one variable, treat it just like an equation. Solve using inverse operations. If you divide or multiply by a -1 then be sure to flip the sign. For example, if you have > then it becomes <.
Graphing on a number line: To graph inequalities in one variable, use a number line. Plot a point on the number line with an open circle then an arrow pointing toward the solution set. If you have an equal to, you would shade in the open circle.
Solving: To solve inequalities in two variables, you need a system meaning more than one. You solve it like a system of equations by graphing.
Graphing: To graph inequalities with two variables, graph each in y=mx+b form using the y-intercept and slope. Connect the points with a dashed line unless equal to. Equal to inequalities have a solid line. To show the solution set, shade the side of the inequality which (x,y) points make it true. To find this, test a point by substituting into the inequalities.
X + y = 6 does NOT demonstrate direct variation, because the graph of this line does not go through the origin (0,0).
y-x=0, or y=1x, DOES demo direct var. The graph goes through the origin.