3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.
Open circle is a term used for numbers that are less than (<) or greater than (>). On the other hand, Closed circle is used for numbers that are less than or equal to (≤ ) and greater than or equal to (≥).
Here, we are given four inequalities, let us check them one by one-
A. h + 6 > -3h + 12
⇒ 4h > 6
or h > 3/2
Here, we see that there is no equality sign, this means that 3/2 won't be included and hence h + 6 > -3h + 12 would be an open circle inequality.
B. 7 ≥ d/3
⇒ d ≤ 21
Here, we can clearly see the equality sign which means that 21 will be included. Hence, 7 ≥ d/3 would not be graphed with an open circle.
C. 3(x - 2) < 18
x - 2 < 6
x < 8
Here, we see that there is no equality sign, this means that 8 won't be included and hence 3(x - 2) < 18 would be graphed with an open circle.
D. 2y ≤ 14
y ≤ 7
Here, we can clearly see the equality sign which means that 7 will be included. Hence, 2y ≤ 14 would not be graphed with an open circle.
Thus, 3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.
Learn more about inequalities here-
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Answer:
500
Step-by-step explanation:
510=x+.21x-.19x
510=(1+.21-.19)X
510=1.02X
X=510/1.02
X=500
Answer:
√13
Step-by-step explanation:
There's a formula called the distance formula that is based on the Pythagorean theorem. It is used to find the distance between points in 2 (or more) dimensions.
The distance (d) between points (x1, y1) and (x2, y2) is ...
d = √((x2-x1)^2 +(y2-y1)^2)
___
To find the distance you're looking for, fill in the values in the formula and do the arithmetic.
d = √((6-3)^2 +(5-7)^2) = √(3^2 +(-2)^2)
d = √(9 +4)
d = √13
The distance between the given points is √13.
16=7+2x is ur answer learned this last year in 7th grade
Answer: 200 meters cubed
Step-by-step explanation:
