Divide f(x) over g(x). To simplify, factor everything as much as possible and cancel out any common terms. In this case "4x+3" is a common term that shows up in the numerator and denominator.
(f/g)(x) = [ f(x) ]/[ g(x) ]
(f/g)(x) = (16x + 12)/(4x + 3)
(f/g)(x) = (4(4x+3))/(4x+3)
(f/g)(x) = 4
So the answer is choice C
Area of a circle=πr²
area of this cirlce=π*(12 ft)²=144π ft²≈452.39 ft².
answer 1= the area of this circle is 452.39 ft².
Perimeter of a circle=2πr.
Perimeter of this cirlce=2π(12 ft)=24π ft≈75.4 ft
<span>answer 2= the perimeter of this cirlce is 75.4 ft.</span>
Answer:
the correct choice is marked
Step-by-step explanation:
Let x represent the smaller number. Then the larger number is 8x, and the difference is ...
8x -x = 280
7x = 280 . . . . . simplify
x = 40 . . . . . . divide by 7
The larger number is 8x = 8(40) = 320.
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<em>Additional comment</em>
Effectively, we have solved for the multiplier (40) that gives the ratio with 320 on top and a difference between top and bottom of 280:
Direct variation is of the form y=kx. We are given the point (8, -4) so we can solve for k, the constant of variation...
-4=8k, divide both sides by 8
-4/8=k
k=-0.5, so our equation is:
y=-0.5x,
Answer:
36 trees were infected with the virus.
Step-by-step explanation:
Given:
Total number of trees = 90
Percentage of tree that had virus 40%
To find:
Number of tress that were infected by virus = ?
Solution:
Let the number trees that was affected by the virus be X.
then
X = 40% of 90
X =
X =
X= 36