Just do what you said (subsitute) and solve
x=number of classes
7.5x=5.5x+10
subtract 5.5x from both sides
2x=10
divide 2
x=5
5 classes
to find how much it costs, subsitute 5 for x in any equation
y=7.5(5)
y=37.5
total cost is $37.5 per month
Answer:
-4 ≤ x <7
x is greater than or equal to -4, and x is less than 7
Step-by-step explanation:
Take each side and solve
-12 ≤ 2x -4
subtract 4 on both sides
-8 ≤ 2x
divide by 2 on both sides
-4 ≤ x
2x -4 < 10
add 4 on both sides
2x < 14
divide by two on both sides
x < 7
Final answer:
-4 ≤ x <7
Answer:
b. about 91.7 cm and 44.6 cm
Step-by-step explanation:
The lengths of the diagonals can be found using the Law of Cosines.
Consider the triangle(s) formed by a diagonal. The two given sides will form the other two sides of the triangle, and the corner angles of the parallelogram will be the measure of the angle between those sides (opposite the diagonal).
For diagonal "d" and sides "a" and "b" and corner angle D, we have ...
d² = a² +b² -2ab·cos(D)
The measure of angle D will either be the given 132°, or the supplement of that, 48°. We can use the fact that the cosines of an angle and its supplement are opposites. This means the diagonal measures will be ...
d² = 60² +40² -2·60·40·cos(D) ≈ 5200 ±4800(0.66913)
d² ≈ {1988.2, 8411.8}
d ≈ {44.6, 91.7} . . . . centimeters
The diagonals are about 91.7 cm and 44.6 cm.
The error is that the graph is moving up two and over one. Basically using the slop 2/1 instead of 1/2. The slope is rise/run, so it should rise up 1 unit and run 2 units to the right.