we have
using a graph tool
see the attached figure
the domain of the function is all real numbers------> the interval is (-∞,∞)
the range of the function is --------------------------------> the interval (-∞,9]
therefore
the answer is
The range of the function is all real numbers less than or equal to 
Step-by-step explanation:
3.5 hours for 1 cake means 3.5 hours per cake.
similar : 2 hours for 1 pie means 2 hours per pie.
so, if there are e.g. 3 pies, they take 3×2 = 6 hours.
therefore the general constraint is
3.5x1 + 2x2 <= 70
I think the names "x1" and "x2" are confusing when writing this inequality.
I prefer to use x and y.
and then it would look like
3.5x + 2y <= 70
Change=new-original
change=32 and 1/4-20 and 5/6
32 and 1/4-20 and 5/6=
32+1/4-(20+5/6)=
32+1/4-20-5/6=
32-20+1/4-5/6=
1/4 and 5/6
LCD=12
1/4 times 3/3=3/12
5/6 times 2/2=10/12
32-10+3/12-10/12=
12-7/12=
11+12/12-7/12=
11+5/12
the turtle went down so the change is negative
the change is -11 and 5/12 inches
Answer:
line FG
Step-by-step Explanation:
In the diagram, line CD passes through
The slope of this line is found using the formula,
We substitute the values to get,
So line CD is the line with slope
From the graph we can see clearly that, the only line that is perpendicular to CD is line FG.
Line FG also passes through
We can verify that the product of these two slopes is negative 1.
Therefore the correct answer is C
The answer is D, i.e. the system was solved via elimination
If you multiply the first equation by 5, the system becomes
If you sum the two equations, you get
And so if you substitute the second equation of system A with this new equation, you'll get system B.
