Answer:
The value of (f/g) (8) = -169
Step-by-step explanation:
<u>Step 1: explaining the question</u>
The quotient (f/g) is not defined at values of x ⇒ both the functions must be defined at a point for the combination to be defined.
⇒(f/g)(x) =(f(x)) / (g(x))
If f(x)= 3-2 and g(x)=1/x+5
⇒then according to the preceding formula: (f/g)(x) =(f(x)) / (g(x))
⇒(f/g)(8) = f(8) / g(8)
to solve this we have to find the value of both f(8) and g(8)
<u>Step 2: find value of f(8) and g(8)</u>
⇒ we know that f(x) = 3-2x and we know dat f(x) = f(8)
⇒ f(8) = 3-2(8)
f(8) = 3-16 = -13
⇒we know that g(x) = 1/x+5 and g(x) = g(8)
⇒ g(8) = 1/8+5
g(8) =1/13
These 2 equations we will insert in the following : ⇒(f/g)(8) = f(8) / g(8)
⇒ f/g (8) = -13 / (1/13) = -13 * 13/1 = -169
The value of (f/g) (8) = -169
Answer:
hello, This can be solved using your standard rise over run slope calculation. Think of the number of years after 1990 as your input variable. 2007 would be 17 years after 1990, so the "y" variable would be 17. This is your "run", and it goes in the denominator of your slope calculation. Then the difference between the 2007 population and the 1990 population would be the "p" variable difference, the "rise", which is 92500. Dividing, you will get 5441.17. Since we're talking about humans, we can't have a decimal, so let's round up to 5442.
Using the slope-intercept form of a linear equation (y = ax + b), we will say that p = 5442y + 123000. Do you know why we add the 123000? It's because that's the starting value, which is equivalent to the "intercept" in the slope-intercept form.
Hope this helps.
Step-by-step explanation:
8x - 3/x
x = 1/2
(8 • 1/2) - 3/0.5
4 - 1.5
2.5
600 elves
25% = 1/4
1/4 of the total = 150.
1/4 x 4 = 1 (total)
150 x 4 = 600
there are 600 elves
The function in this problem should be: <span>f(x) =x</span>² <span>+ 12x + 6
y = x</span>² + 12x + 6
y - 6 = x² + 12x
x² ⇒ x * x
12x ⇒ 2*6*x
missing number is 6² = 36
y - 6 + 36 = x² + 12x + 36
(x+6)(x+6) ⇒ x(x+6)+6(x+6) ⇒ x² + 6x + 6x + 36 = x² + 12x + 36
y + 30 = x² + 12x + 36
y = (x+6)² - 30
Choice is D. 36,-36
