Answer:
x
>-9
Step-by-step explanation:
Answer:
read below
Step-by-step explanation:
Alright, archtan /
tan
−
1
(
x
)
is the inverse of tangent. Tan is
sin
cos
. Like the inverse of sin, the inverse of tan is also restricted to quadrants 1 and 4.
Knowing this we are solving for the inverse of tan -1. We are basically being asked the question what angle/radian does tan(-1) equal. Using the unit circle we can see that tan(1)= pi/4.
Since the "Odds and Evens Identity" states that tan(-x) = -tan(x). Tan(-1)= -pi/4.
Knowing that tan is negative in quadrants 2 and 4. the answer is in either of those two quadrants. BUT!!! since inverse of tan is restricted to quadrants 1 and 4 we are left with the only answer -pi/4.
the answer is m=-3n-5/2 or n=2m+5/6
Per year 7% for $2000 bond. It will be $140 per year.
Then per 6 months, it will be $70.
so, answer is B.
Answer:
-8n+16. You can also put 16-8n
Answer:
Step-by-step explanation:
Let x represent the number of plain T-shirts that were sold.
Let y represent the number of fancy T-shirts that were sold.
A local merchant has promised to donate up to 150 plain and deluxe t-shirts to help the team with their fundraiser. This means that
x + y ≤ 150
Plain t- shirts sell for $8 each and fancy t-shirts sell for $12 each. Therefore, the total cost of x plain T-shirts would be 8x and the total cost of x fancy T-shirts would be 12x
They need to raise at least $2,000. This means that
8x + 12y ≥ 2000
If the soccer team sells 70 fancy t shirts, then,
8x + 12 × 70 ≥ 2000
8x ≥ 2000 - 840
8x ≥ 1160
x ≥ 1160/8
x ≥ 145
The minimum number of plain t-shirts that they need to sell is 145
