B: 4.75+0.75n ≥25
Because she has already spent 4.75 and she only has $25 and she cannot spend more than$25
Answer:
The top left graph.
Step-by-step explanation:
That is because it goes through y=-2
Answer:
Part A
12 months a year means
%74.5 x 12 = $894
Part B
4 weeks in a month means
$74.5 ÷ 4 = $18.625
But rounded to the nearest penny. . .
$18.62
because in the thousandths place was a 5 and you round up when there is a 5 or above
Part C
We will go with 31 days in a month, but I will also do 30 for you
$74.5 ÷ 30 = $2.48333
But rounded to the nearest penny. . .
$2.48
because you round down when there is anything less than a 4
$74.5 ÷ 31 = $2.40322580645
But rounded to the nearest penny. . .
$2.40
because you round down when there is anything less than a 4
Answer:
x = -2, x = 3 − i√8, and x = 3 + i√8
Step-by-step explanation:
g(x) = x³ − 4x² − x + 22
This is a cubic equation, so it must have either 1 or 3 real roots.
Using rational root theorem, we can check if any of those real roots are rational. Possible rational roots are ±1, ±2, ±11, and ±22.
g(-1) = 18
g(1) = 18
g(-2) = 0
g(2) = 12
g(-11) = 1782
g(11) = 858
g(-22) = -12540
g(22) = 8712
We know -2 is a root. The other two roots are irrational. To find them, we must find the other factor of g(x). We can do this using long division, or we can factor using grouping.
g(x) = x³ − 4x² − 12x + 11x + 22
g(x) = x (x² − 4x − 12) + 11 (x + 2)
g(x) = x (x − 6) (x + 2) + 11 (x + 2)
g(x) = (x (x − 6) + 11) (x + 2)
g(x) = (x² − 6x + 11) (x + 2)
x² − 6x + 11 = 0
Quadratic formula:
x = [ 6 ± √(36 − 4(1)(11)) ] / 2
x = (6 ± 2i√8) / 2
x = 3 ± i√8
The three roots are x = -2, x = 3 − i√8, and x = 3 + i√8.
Answer:
AC ≈ 10.3
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan48° = 
= 
= 
( multiply both sides by 9.3 )
9.3 × tan48° = AC , then
AC ≈ 10.3 ( to 3 sf )
