Answer:
2
Step-by-step explanation:
It is 2 because of the counting by 2 and if you did not notice this , as you count by 2 the cost increases by 1
These seem tough, but they are not that bad.
(f o g)(x)
That means to take function g when x = x (It just means that you don't need to do anything with the function) and substitute it into function f wherever there is a x value. (So basically g becomes what x equals)
Here is a visual representation of it.
(f o g)(x) = 2(9x + (3/2)) - (3/9)
We need to distribute the 2 to everything inside the parenthesis.
(f o g)(x) = 18x + (6/2) - (3/9)
Let's simplify the fraction on the right and left, then find a common denominator so we can add / subtract the two fractions.
(f o g)(x) = 18x + (3) - (1/3)
(f o g)(x) = 18x + (9/3) - (1/3)
Combine like terms.
(f o g)(x) = 18x + (8/3)
Our final answer is:
(f o g)(x) = 18x + 8/3
Solve for d:
(3 (a + x))/b = 2 d - 3 c
(3 (a + x))/b = 2 d - 3 c is equivalent to 2 d - 3 c = (3 (a + x))/b:
2 d - 3 c = (3 (a + x))/b
Add 3 c to both sides:
2 d = 3 c + (3 (a + x))/b
Divide both sides by 2:
Answer: d = (3 c)/2 + (3 (a + x))/(2 b)
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Solve for x:
(3 (a + x))/b = 2 d - 3 c
Multiply both sides by b/3:
a + x = (2 b d)/3 - b c
Subtract a from both sides:
Answer: x = (2 b d)/3 + (-a - b c)
____________________________
Solve for b:
(3 (a + x))/b = 2 d - 3 c
Take the reciprocal of both sides:
b/(3 (a + x)) = 1/(2 d - 3 c)
Multiply both sides by 3 (a + x):
Answer: b = (3 (a + x))/(2 d - 3 c)
Answer:
C. 3.4 feet
Step-by-step explanation:
Let, the amount of increase be 'x' feet.
As, the length and width of the garden are 20 ft and 12 ft respectively.
It is given that the area of the new garden is 360 ft²
Since, the length and width are increased by 'x'.
The new length and width are (x+20) ft and (x+12) ft respectively.
So, we get,
New area, 
= length × breadth = (x+20) × (x+12)
i.e. 360 = 
i.e. 
i.e. (x+35.4)(x-3.4)=0
i.e. x = -35.4 and x= 3.4
Since, the value of x cannot be negative.
Thus, x = 3.4 feet.
