Liam wants to plant a small orchard with apples and cherries in a 62-square-foot plot, and he has a budget of $345 for purchasing trees. The apple trees he wants cost $30 each and require 8 square feet each for maximum fruit production. The cherry trees he wants cost $45 each and require 6 square feet for maximum fruit production. If he sells all the fruit, he is able to earn $90 per apple tree and $120 per cherry tree. The system of inequalities that represents this situation, (30x+45y≤345) (8x+6y≤62), is shown graphed in the first quadrant with the number of apple trees along the x-axis and the number of cherry trees along the y-axis.

Which points are the extreme points for the solution set for this situation?

Select all that apply.

(7.75,0)
(11.5,0)
(0,7.67)
(0,0)
(0,10.33)
(4,5)

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

you estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82 .the total height of the building is another 123 meters above the 86th floor.

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