Good evening,
Answer:
x > 5
x ≤ 12
Step-by-step explanation:
Visualize as if the inequality symbols are equal signs and then solve it as you would for a normal equation, note if you divide by two negative numbers at all you then switch the sign.
On a number line, an inequality sign without the “equal to” is plotted with an open circe.
An inequality sign, with the “equal to” is plotted with a closed circle.
3x - 7> 8
Add seven on both sides, we do this because we want to eliminate the 7 from one side.
3x > 15
Divide both sides by 3, we do this because you want to get rid of the 3 from x.
x > 5
As for the second inequality.
Divide both sides by -3, as I mentioned earlier switch the side since we are dividing by two negative numbers.
x ≤ 12
For the greater than inequality x > 5, plot a open circle on 5 and draw the line going to the right.
For the less than or equal to inequality x ≤ 12, plot a closed cirlce on 12 and draw the line going to the left.
A unique trick is to graph the line based on the direction (right or left) the inequality symbol is pointing to.
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to

where
m is the slope
b is the y-intercept
Part 1) we have
(10,-3) (5,-2)
<u><em>Find the slope</em></u>
The formula to calculate the slope between two points is equal to
substitute
<em>Find the value of b</em>
we have

substitute in the equation
and solve for b



substitute

Part 2) we have
(6,2) (7,5)
<u><em>Find the slope</em></u>
The formula to calculate the slope between two points is equal to
substitute
<em>Find the value of b</em>
we have

substitute in the equation
and solve for b



substitute

Part 3) we have
(4,4) (-7,4)
<u><em>Find the slope</em></u>
The formula to calculate the slope between two points is equal to
substitute
This is a horizontal line (parallel to the x-axis)
The y-intercept b is equal to the y-coordinate
<em>therefore</em>
The equation of the line is

A because you can have many different results
Answer:
9604
Step-by-step explanation:
V = (7/3)³ × 756
= 343/27 × 756
= 9604 ft³
Answer:
1.2-0.8
Step-by-step explanation:
Add 0.4 and 0.8