Answer:
u = (-21)/20
Step-by-step explanation:
Solve for u:
u + 1/4 = (-4)/5
Put each term in u + 1/4 over the common denominator 4: u + 1/4 = (4 u)/4 + 1/4:
(4 u)/4 + 1/4 = -4/5
(4 u)/4 + 1/4 = (4 u + 1)/4:
1/4 (4 u + 1) = -4/5
Multiply both sides of (4 u + 1)/4 = (-4)/5 by 4:
(4 (4 u + 1))/4 = (-4)/5×4
4×(-4)/5 = (4 (-4))/5:
(4 (4 u + 1))/4 = (-4×4)/5
(4 (4 u + 1))/4 = 4/4×(4 u + 1) = 4 u + 1:
4 u + 1 = (-4×4)/5
4 (-4) = -16:
4 u + 1 = (-16)/5
Subtract 1 from both sides:
4 u + (1 - 1) = (-16)/5 - 1
1 - 1 = 0:
4 u = (-16)/5 - 1
Put (-16)/5 - 1 over the common denominator 5. (-16)/5 - 1 = (-16)/5 - 5/5:
4 u = (-16)/5 - 5/5
-16/5 - 5/5 = (-16 - 5)/5:
4 u = (-16 - 5)/5
-16 - 5 = -21:
4 u = (-21)/5
Divide both sides by 4:
u = ((-21)/4)/5
5×4 = 20:
Answer: u = (-21)/20
An exponential behavior can be observed.
Let x be the number of years she has to wait.
100((1+0.08/12)^12x) = 150
Now solve for x.
log base 1.08/12 of 1.5 = 61.02 approx
12x=61.02
x=5.09 years
Answer:
Step-by-step explanation:
Given
Point: (-7,2)
x + 3y = -5
Required
Find B- - A in Ax + By = 3
To start with; we need to calculate the slope of x + 3y = -5
Subtract x from both sides
Divide both sides by 3
The slope of the line is the coefficient of x
Slope = 
The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of
Having calculated the slope, next is to calculate the equation of the line using the following formula;
Where m is the slope; m = ; 
Substitute these values in the formula above; the formula becomes
Cross Multiply
Open brackets
Add x to both sides
Add 6 to both sides
Multipby both sides by -3
Comparing the above to Ax + By = 3
Answer:
C.
Step-by-step explanation:
PEMDAS
-6 x 12p = -72p
-6 x -8n = 48n
48n - 47n = n
875 x 12 = 10500ft squared
950 x 6 = 5700ft squared
10500 + 5700 = 16200
the total floor area is 16200 squared feet
