Answer:
13
Step-by-step explanation:
Answer:
66 coolers
Step-by-step explanation:
C = 0.005x² - 0.3x + 17
When C = $19
19 = 0.005x² - 0.3x + 17
19 - 17 = 0.005x² - 0.3x
2 = 0.005x² - 0.3x
0.005x² - 0.3x - 2 = 0
x = -b ± √b² - 4ac / 2a
= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005
= 0.3 ± √ 0.09 - (-0.04) / 0.01
= 0.3 ± √ 0.09 + 0.04 / 0.01
= 0.3 ± √ 0.13 / 0.01
= 0.3/0.01 ± √0.13/0.01
= 30 ± 0.36/0.01
x = 30 ± 36
x = 30 + 36 or 30 - 36
x = 66 or -6
Number of coolers can not be negative
Therefore, number of coolers produced when the cost is $19
is 66 coolers
<span>Which represents the inverse of the function f(x) = 4x?
</span>
f-1(x) = x/4
n, n + 2, n + 4 - three consecutive even integers
n + 2 = 2(n + 4) - 6 |use distributive property
n + 2 = (2)(n) + (2)(4) - 6
n + 2 = 2n + 8 - 6
n + 2 = 2n + 2 |subtract 2 from both sides
n = 2n |subtract 2n from both sides
-n = 0
n = 0
n + 2 = 0 + 2 = 2
n + 4 = 0 + 4 = 4
Answer: 0, 2, 4.