2. if the cost of 10 gallons of gasoline is 30 dollars then divide 10 by 10 and divide 30 by 10 to get 1 and 3 so the cost of 1 gallon is $3
3. if 2 packets of bread is 3 dollars then divide 2 and 3 by 2 so in conclusion 1 loaf f bread is $1.50.
4. if a cleaning service charges $1000 for 20 offices then divide 1000 by 20 and 20 by 20 to have an answer of $50 for every one office.
5. to find the answer to this problem you need to divide 320 by 4 to find out organes per bag so 80 oranges per bag.
6. if the baker ca bake 12 cakes every 45 minutes then he can bake 4 cakes every 15 minutes because divide both 12 and 45 by three so in conclusion the baker can bake 16 cakes every hour.
7. so if you can print 100 pages for $2 then multiply 100 and 2 by two to get 200 pages for $4
8. so to find the answer to this all you need to do is divide 12 by six to fin out that it is 2 apples for $1 and for the other store you divide 21 by seven to find out that it is 3 apples for $1.
9. to find out the answer for this divide 24,000 by 12 to find that his monthly income is $2,000.
10. if a 0.2 pund package is $4 then a 0.001 pound package is 20 cents.
I hope i got the answers right and that i could help! :)
Answer:
31
Step-by-step explanation:
(3*22=66) / 6 + [28n - (4)2=20]
66 /6 = 11+ [20]
11+20= 31
Steps:
1) determine the domain
2) determine the extreme limits of the function
3) determine critical points (where the derivative is zero)
4) determine the intercepts with the axis
5) do a table
6) put the data on a system of coordinates
7) graph: join the points with the best smooth curve
Solution:
1) domain
The logarithmic function is defined for positive real numbers, then you need to state x - 3 > 0
=> x > 3 <-------- domain
2) extreme limits of the function
Limit log (x - 3) when x → ∞ = ∞
Limit log (x - 3) when x → 3+ = - ∞ => the line x = 3 is a vertical asymptote
3) critical points
dy / dx = 0 => 1 / x - 3 which is never true, so there are not critical points (not relative maxima or minima)
4) determine the intercepts with the axis
x-intercept: y = 0 => log (x - 3) = 0 => x - 3 = 1 => x = 4
y-intercept: The function never intercepts the y-axis because x cannot not be 0.
5) do a table
x y = log (x - 3)
limit x → 3+ - ∞
3.000000001 log (3.000000001 -3) = -9
3.0001 log (3.0001 - 3) = - 4
3.1 log (3.1 - 3) = - 1
4 log (4 - 3) = 0
13 log (13 - 3) = 1
103 log (103 - 3) = 10
lim x → ∞ ∞
Now, with all that information you can graph the function: put the data on the coordinate system and join the points with a smooth curve.
