Answer:
PROBLEM 5: 80
PROBLEM 6: 94
Step-by-step explanation:
<u>PROBLEM 5:</u>
5(2 times 5 + 6)
=5(10+6)
5(16) = 5 times 16
=80
<u>PROBLEM 6:</u>
4 times(5 to the power 2)-6
4(25)-6
=100-6
=94
If we say A = ream of paper and B = cost of ink than we can set-up an expression to calculate when A is equal to a number what the number of B will be.
Maximim of 270$ so anything we buy must be equal to this.
Ream of paper cost 6$ each so 6A represents the number of reams bought since we said A is number of reams of paper.
Ink Cartridges are 18$ each so 18B would represent this based on B = to cost of ink.
Now setting up our equation
6A + 18B = 270
When A = 1
B = 14.67 Ink Cartridges
When A = 1 Ream ofpaper
To do part A and B, note that functions are distributive, meaning (h+t)(x) = h(x)+t(x) and (h•t)(x) = h(x)•t(x).
Giving:
A: (h+t)(x) = 2x - 5 + 6x + 4 = 8x - 1
B: (h•t)(x) = (2x - 5)•(6x + 4) = 12x^2 - 22x - 20
C: h[t(x)] = 2[t(x)] - 5 = 2(6x + 4) - 5 = 12x + 3