Answer:
x = 0.5
Step-by-step explanation:
Given
2(x + 1.25) = 3.5 ← divide both sides by 2
x + 1.25 = 1.75 ( subtract 1.25 from both sides )
x = 0.5
Answer:
(4,-1)
Step-by-step explanation:
12x - 4y = -8
y = 3x + 2
Rewrite the first equation
12x + 8 = 4y
3x + 2 = y
As you see, the first and second equation are actually the same, meaning there's an infinite number of solutions.
<h3>
Answer: -10 and -40</h3>
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Explanation:
a = 200 = first term
d = -30 = common difference
Tn = nth term
Tn = a + d(n-1)
Tn = 200 + (-30)(n-1)
Tn = 200 - 30n + 30
Tn = -30n + 230
Set Tn less than 0 and isolate n
Tn < 0
-30n + 230 < 0
230 < 30n
30n > 230
n > 230/30
n > 7.667 approximately
Rounding up to the nearest whole number gets us 
So Tn starts to turn negative when n = 8
We can see that,
Tn = -30n + 230
T7 = -30*7 + 230
T7 = 20
and
Tn = -30n + 230
T8 = -30*8 + 230
T8 = -10 is the 8th term
and lastly
Tn = -30n + 230
T9 = -30*9 + 230
T9 = -40 is the ninth term
Or once you determine that T7 = 20, you subtract 30 from it to get 20-30 = -10 which is the value of T8. Then T9 = -40 because -10-30 = -40.
Answer: $7.00
Step-by-step explanation:
each foot is $1, so times 7 is 7 dollars.