Let x rep cost of dvd in $
so the cost of tv is 3x
and x + 3x = 1132
4x=1132
x=1132/4
x= 283 and 3x=3(283)=849
Answer:
x = 136/35; y = -⁹/₁₀
Step-by-step explanation:
(1) 7x + 8y = 20
(2) 7x – 2y = 29 Subtract (2) from (1)
10y = -9 Divide each side by 10
(3) y = -⁹/₁₀ Substitute (3) into (1)
7x - 2(-⁹/₁₀) = 29
7x + 18/10 = 29 Subtract 18/10 from each side
7x = 29 - 18/10
7x = (290 - 18)/10
7x = 272/10 Divide each side by 7
x = 272/70
x = 136/35
x = 136/35; y = -⁹/₁₀
Check:
(1) 7(136/35) + 8(-⁹/₁₀) = 20
136/5 - 72/10 = 20
136/5 - 36/5 = 20
100/5 = 20
20 = 20
(2) 7(136/35) – 2(-⁹/₁₀) = 29
136/5 + 18/10 = 29
136/5 + ⁹/₅ = 29
145/5 = 29
29 = 29
72, 96, 84, 12
72 + (7x+24) = 180
7x + 96 = 180
7x = 84
x = 12
Compound interest:
where
is the amount you start with,
is the interest rate,
is the number of times interest is compounded per year, and
is amount of time that passes.
Answer:
A: (-9,-3)(-2,-4)(-5,-8)
B: (-5,2)(-1,-3)(3,2)
C: (4,-7)(-1,-3)(4,1)
D: (-1,-11)(-2,-4)(-6,-7)
Step-by-step explanation:
So of the transformations, translations are pretty much the easiest. x-1 just means move all coordinates left 1 and y-3 means move all coordinates down 3. So for the first one the x coordinate gets 1 subtracted from it and the y value gets 3 subtracted from it.
(-8,0) => (-8-1, 0-3) = (-9,-3)
I do recommend double checking though, for practice and in case I flubbed a calculation.
