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.
To solve this problem, we need to know the formula for the nth term of an arithmetic sequence. The formula is
= t₁ + (n-1)d, with
being the nth term, t₁ being the first term, and d being the distance between terms. Now we can substitute values to figure out what
is. When substituting, the equation becomes:
= 12 + 29(-6)
= -162
That means that the 30th term in this arithmetic sequence is
-162.
Answer:
its one
Step-by-step explanation:
octagon-4
hexagon-3
4-3=1
your welcome
Answer:
she made electronic calculating machines in order to calibrate rockets and make everything more precise
Step-by-step explanation:
