1.)Substitute numbers for A, B, C (ex. 3,4,5): (3)^2 + (4)^2 = (5)^2
2.)Simplify and Solve: 9+16=25
25=25. Therefore, the Pythagorean Theorem is true.
Answer:
part C. 3x + 2y <u>< </u>30, 5x + 7y <u><</u> 105
Step-by-step explanation:
Part 1:
spends 3 hours making each type X (3x)-each type x will take 3 hours so as the number of type x increases, the hours will increase by 3.
spends 2 hours making each type Y (2y)-each type y will take 2 hours so as the number of type y increases, the hours will increase by 2.
Part 2:
he can spend up to 30 hours each week making carvings. (<u><</u>30)-because he cannot spend more than 30 hours
Therefore, He has to spend 30 hours or less to make type X and type Y.
3x + 2y <u>< </u>30
Part 3:
His materials cost him $5 for each type X carving. (5x)-each type x will take $5 so as the number of type x increases, the cost will increase by 5.
His materials cost him $7 for each type Y carving, (7y)-each type y will take $7 so as the number of type y increases, the cost will increase by 7.
Part 4:
he must keep his weekly cost for materials to $105 or less (<u><</u>105)-total cost cannot be more than $105.
Therefore, the total cost of making x and y should be $105 or less.
5x + 7y <u><</u> 105
!!
It is ( 2,0 )
It took me a while because I didn't went to school for 2 months.
If i did the math right it would be (C)
The vertex is the point where the graph is horizontal, which you can find by setting the first derivative to zero.
derivative: -4x + 8 = 0 => x=2
fill it in in the equation:
y=-2*2² + 8*2 - 5 = 3
So the answer is the point (2,3)
