Answer:
55 fl oz
Step-by-step explanation:
6 cups = 48 fl oz
7/8 cups = 6 fl oz
48 +6 = 55 fl oz
Answer:
n = (1/2)(-1 ± i√2)
Step-by-step explanation:
Among the several ways in which quadratic equations can be solved is the quadratic formula. Putting to use the coefficients {12, 12, 9}, we obtain the discriminant, b^2 - 4ac: 12^2 - 4(12)(9) = 144 - 432 = -288. The negative sign of this discriminant tells us that the quadratic has two unequal, complex roots. These roots are:
-b ± √(discriminant)
n = ---------------------------------
2a
Here we have:
-12 ± √(-288) -12 ± i√2√144 -12 ± i12√2
n = ---------------------- = ------------------------ = --------------------
2(12) 24 24
or:
n = (1/2)(-1 ± i√2)
Answer:
1. g(x) = (x - 1)²; translation of 1 unit to the right.
2. g(x) = 3^(x + 1) - 2; translation to the left of 1 unit and translation of 2 units down.
Step-by-step explanation:
1.
f(x) = x²
g(x) = f(x - 1)
g(x) = (x - 1)²
Since x was replaced by x - 1, g(x) is similar to f(x) with a translation of 1 unit to the right.
2.
f(x) = 3^x
g(x) = f(x + 1) - 2
g(x) = 3^(x + 1) - 2
Since x was replaced by x + 1, which is the same as x - (-1), there is a translation to the left of 1 unit. In addition, the -2 causes a translation of 2 units down.
Answer:
the new one for a: 12/21 and 15/21
the new one for b: 20/25 and 15/25
the new one for c: 20/27 and 33/27
the new one for d: 25/24 and 36/24
Step-by-step explanation:
4/7 x 3/3 equals 12/21
3/5 x 5/5 equals 15/25
11/9 x 3/3 equals 33/27
6/4 x 6/6 equals 36/24
Answer:
Step-by-step explanation:
a 2 digit number xy (x tenth, y unit digit) y>x
x+y=12
y-x=2
x=5
y=7
57
