Let
X-----------------> number of pansies
y-----------------> number of trees
we know that
x=15*8----------> x=120 pansies
y=8 trees
cost of each trees is----------> $<span>20.75
</span>cost of each pansies is------> $2.50/6------> $5/12
[<span>expression to find Katherine’s final cost]=[cost trees]+[cost pansies]
</span>[cost trees]=y*$20.75
[cost pansies]=x*($5/12)
[expression to find Katherine’s final cost]=y*($20.75)+x*($5/12)
[expression to find Katherine’s final cost]=8*($20.75)+120*($5/12)
[expression to find Katherine’s final cost]=$166+$50
[expression to find Katherine’s final cost]=$216
the answer is
[expression to find Katherine’s final cost]=y*($20.75)+x*($5/12)
[expression to find Katherine’s final cost]=8*($20.75)+120*($5/12)
Katherine’s final cost is $216
Answer:

Step-by-step explanation:
Given


Required
The equation of the function
The given parameters means that:


Calculate the slope (m)



The equation is then calculated using:

This gives:


Open bracket

Take LCM


Split up the interval [0, 3] into 3 equally spaced subintervals of length
. So we have the partition
[0, 1] U [1, 2] U [2, 3]
The left endpoint of the
-th subinterval is

where
.
Then the area is given by the definite integral and approximated by the left-hand Riemann sum

2x+x-7+3x-20=87cm
6x-27=87
6x=114
x=19
Therefore the sides are:12cm, 38cm, and 37cm
Answer:
Step-by-step explanation:
y = 3x+4 and y = x-2
3x+4 = x-2
2x+4 = -2
2x = -6
x = -3
y = -3 -2 = -5