(x+6)(x+2)
Simplifying
(x + 6)(x + 2)
Reorder the terms:
(6 + x)(x + 2)
Reorder the terms:
(6 + x)(2 + x)
Multiply (6 + x) * (2 + x)
(6(2 + x) + x(2 + x))
((2 * 6 + x * 6) + x(2 + x))
((12 + 6x) + x(2 + x))
(12 + 6x + (2 * x + x * x))
(12 + 6x + (2x + x2))
Combine like terms: 6x + 2x = 8x
(12 + 8x + x2)
Answer:
$27,182
Step-by-step explanation:
Use the formula Pe^(r * t)
P = principal amount
e = the constant e
r = rate
t = time, in years
10,000 * e ^ (0.05 * 20)
10,000 * e ^ (1)
10,000 * e ≈ 27,182
Set up the ratio as fractions
(5/8) cup red / (2/5) cup yellow = r amount of red / 1 cup yellow
Then cross multiply the numbers and set up as a equation like this
(5/8) × 1 = (2/5) × r
(5/8) = (2/5)r
Multiply both sides of the equation by (5/2) to get rid of the fraction and solve for r
(5/2) × (5/8) = (2/5)r × <span>(5/2)
25/16 = r
Reduce down to 5/4 or change to a mixed number
1 and 1/4 cups = r</span>
Answer:
(x-9) (x-3)
Step-by-step explanation:
x^2 -12x +27
What 2 numbers multiply to 27 and add to -12
-9* -3 = 27
-9-3 = -12
(x-9) (x-3)
Answer:
40.18
Step-by-step explanation:
According to this question, the mean of 100 observation is found to be 40. This means that the number of values in the set of data is 100. However, at the time of computation two items were wrongly taken as 30 and 27 instead of 3 and 72.
The mean is derived by dividing the sum of values in the data (Σx) by the number of observations (n) i.e.
Mean = Σx/n
For the computation error:
Mean = 40
Let x represent the sun of other 98 values except 30 and 27
n = 100
40 = x + 30 + 27/100
40 = 57 + x/100
Cross multiply
4000 = 57 + x
x = 4000 - 57
x = 3943.
Sum of other 98 values = 3943.
Now, let's find the correct mean with correct values of 3 and 72;
Mean = Σx/n
Mean = 3943 + 3 + 72/100
Mean = 4018/100
Mean = 40.18
