(x-8) ^ 2 = 121
(x-8) = + / - root (121)
x = 8 +/- root (121)
The solutions are:
x1 = 8 + root (121)
x2 = 8 - root (121)
2a ^ 2 = 8a-6
2a ^ 2-8a + 6 = 0
a ^ 2-4a + 3 = 0
(a-1) (a-3) = 0
The solutions are:
a1 = 1
a2 = 3
x ^ 2 + 12x + 36 = 4
x ^ 2 + 12x + 36-4 = 0
x ^ 2 + 12x + 32 = 0
(x + 4) (x + 8) = 0
The solutions are:
x1 = -8
x2 = -4
x ^ 2-x + 30 = 0
x = (- b +/- root (b ^ 2 - 4 * a * c)) / 2 * a
x = (- (- 1) +/- root ((- 1) ^ 2 - 4 * (1) * (30))) / 2 * (1)
x = (1 +/- root (1 - 120))) / 2
x = (1 +/- root (-119))) / 2
x = (1 +/- root (119) * i)) / 2
The solutions are:
x1 = (1 + root (119) * i)) / 2
x2 = (1 - root (119) * i)) / 2
17=5k-2
add 2 to both sides
19=5k
divide both sides by 5
19/5=k
19/5=3 and 4/5
Answer:
12
Step-by-step explanation:
4/5 x -6 = -2
4 x -30 = -10
-120 = -10
12
Answer:
The constant of proportionality gives you the price per unit at each store.
Step-by-step explanation:
If you assume that the price (y) is directly proportional to the amount (x) you get, the formula is
y = kx
where k is the constant of proportionality.
k = y/x
k has the units of cost per unit, for example, dollars per ounce.
The fewer the dollars per ounce, the better the deal you are getting.
If store A offers apple sauce at $1.29 for 25 oz and Store B offers apple sauce at $2.89 for 50 oz, which is the better deal?
At store A, k = $1.29/25 oz = $0.052/oz or 5.2¢/oz
At store B, k = $2.89/50 oz = $0.058/oz or 5.8¢/oz
The apple sauce is cheaper at Store A.
