Mathematics, 28.10.2019 20:31 love12236

Inverse operation steps for 19=h/3-8 steps in words

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Answer from: ALGEBRAHELP9504

19 + 8 = h/3or h/3 = 27Multiply both sides by 3h = 27*3 = 81

Answer from: PONBallfordM89

19 = (h/3) - 8

Quick reminder of all the inverse operations!
Normal Operation -> Inverse Operation

Addition -> Subtraction
Subtraction -> Addition

Multiplication -> Division
Division -> Multiplication

With that out of the way, we can move onto the problem at hand!
19 = (h/3) - 8

When trying to solve for a variable you must first get the variables expression alone (In this case the expression (h/3)). To do that in this case we must get rid of a 8 which is being subtracted from (h/3). So the inverse operation of subtraction is addition, thus we add 8 on both sides! Like a so...:

19 + 8 = (h/3) - 8 + 8

The two 8s on the right cancel out, because -8 + 8 = 0.

19 + 8 = (h/3)

Simplify the right side by adding together 19 and 8.

27 = (h/3)

Now we need to get h alone by removing the 3 which it is being divided by. So we use the inverse operation of division which is multiplication.

27 * 3 = (h/3) * 3

The 3s on the right cancel out, because 1/3 * 3 = 1.

27 * 3 = h

81 = h

So! Our final answer is
h = 81

Answer from: Quest

The answer is part a: use

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

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