For this case, the first thing we must do is define variables.
We have then:
x: number of pens
y: number of pencils
We now write the system of inequations:

The solution to the system of inequations is given by the shaded region.
Note: see attached image.
SinB = cosC = AC / BC = 8/10 = 4/5;
tgB = ctg C = AC/AB = 8/6 = 4/3, because we use T. Pitagora for calculating AB;
sinC = cosB = AB/ BC = 6/10 = 3/5;
tgC = ctgB = AB/ AC = 6/8 = 3/4.
Answer:
It has 0 distinct real number zeros. The function does not touch the x-axis
Answer:
x=-11/6, y=7/6. (-11/6, 7/6).
Step-by-step explanation:
-2x+2y=6
4x+2y=-5
-----------------
2(-2x+2y)=2(6)
4x+2y=-5
----------------------
-4x+4y=12
4x+2y=-5
----------------
6y=7
y=7/6
4x+2(7/6)=-5
4x+14/6=-5
4x=-5-14/6
4x=-30/6-14/6
4x=-44/6
x=(-44/6)/4
x=(-44/6)(1/4)
x=-44/24
simplify
x=-11/6
Answer:
x=-1
Step-by-step explanation:
54x+64=49x+59
subtract 64
54x=49x-5
subtract 49x
5x=-5
divide by 5
x=-1