Answer:
well, we only no that
2l + 2w is 80
(lengths and widths on all 4 sides
and that w * l is A
so the function should be w times what's left for l, but also expressed by something with w
2l + 2w = 80 | -2w
2l = 80 -2w | devide by 2
l = 80 - w
now we can substitute l in
A = w * l
so that we only need w's
A(w) = w * (80-w)
for any w it will give us the area, makes only sense for 0<w<80
<span>A = 2ab + 2ac + 2bc
A = 2b(a + c) + 2ac
2b(a + c) = A - 2ac
b = (A - 2ac) / [2(a + c)]</span>
Let x be the number of minutes Peg and Larry used their phones. So their costs can be written as:
Cost of Peg's Phone usage = 25 + 0.25x
Cost of Larry's Phone usage = 35 + 0.20x
We are to find when the Peg's phone will be more than Larry's phone. We can set up the inequality as:
25 + 0.25x > 35 + 0.20x
Re-arranging the inequality
0.25x - 0.20x > 35 - 25
0.05x > 10
x > 10/0.05
x > 200
Thus, Pag's phone will cost more if the number of minutes of phone usage is more than 200
Answer: a) reflected over x-axis and reflected over y-axis
<u>Step-by-step explanation:</u>
Reflection over the x-axis changes the sign of the y-coordinate
Z = (x, y) → Z'(x, -y)
Reflection over the y-axis changes the sign of the x-coordinate
Z' = (x, -y) → Z''(-x, -y)
A = (-4, 1) → A'' = (4, -1)
B = (-3, 2) → A'' = (3, -2)
C = (-1, 2) → A'' = (1, -2)
D = (-2, 1) → A'' = (2, -1)
Answer:
<em>Expected Payoff ⇒ $ 1.50 ; Type in 1.50</em>
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
<em>Thus, Solution ; Expected Payoff ⇒ $ 1.50</em>
