Each term is formed from the last by adding 3/8
The second option is correct
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: 1/2
Step-by-step explanation:
The sample space when a six sided die is thrown once is :
{ 1,2,3,3,5,6}
The even numbers are :
{2,4,6}
Therefore :
P(even) = n(even) / total number
That is
P(even) = 3/6
P(even) = 1/2
Answer:
$11,130.47
Step-by-step explanation:
The amortization formula can be used. It tells you the monthly payment amount A for some principal P, interest rate r, and n payments.
A = P(r/12)/(1 -(1 +r/12)^(-n))
Filling in your values, we get ...
200 = P(.03/12)/(1 -(1 +.03/12)^-60) = P(.0025)/(1 -1.0025^-60)
P = 200(1 -1.0025^-60)/.0025 ≈ 200×55.6523577
P ≈ 11,130.47
The present value of the loan is $11,130.47.
Y=1/3x+2
(-6,0)
(0,2)
(6,4)
