Answer:
Step-by-step explanation:
An x value of 0 can only be plugged into the equation that has a domain that includes 0. The first function's domain is between -2 and -4, so 0 is not included in that domain. In the third function, the domain is between 1 and 3, so 0 is not included in that domain, either. The middle function's domain does include 0 (0 falls between -2 and 1) so we can only evaluate this function at an x value of 0.
g(0) = -0 - 1 so
g(0) = -1
Answer:
n=14/9
Step-by-step explanation:
3/4n+2/3=11/6
3/4n=11/6-2/3
3/4n=11/6-4/6
3/4n=7/6
n=(7/6)/(3/4)
n=(7/6)(4/3)
n=28/18
simplify
n=14/9
Set it up as a propotion and cross multiply. 10/23=15/x answer is 34.5
Answer:
117
Step-by-step explanation:
Let d represent the number of stamps Derek had at first. After he gave 1/9 of his stamps to Ahmad, Ahmad had (d -104) +(d/9). Derek had 4 times this number after giving away d/9 stamps:
(d -d/9) = 4((d -104) +d/9)
(8/9)d = 4d -416 +(4/9)d
416 = (32/9)d . . . . add 416 -8/9d
117 = d . . . . . . . . . . multiply by 9/32
Derek had 117 stamps at first.
_____
<em>Check</em>
1/9 of Derek's collection is 13 stamps. 104 less than Derek's collection is 13 stamps.
So, Ahmad started with 13 stamps and was given 13 stamps by Derek. Meanwhile, Derek started with 117 stamps and gave away 13, so ended with 104 stamps. That number (104) is 4 times Ahmad's new number (26), as it should be.
