Answer:
y = -1000x +11000
Step-by-step explanation:
<u>Given:</u>
(x, y) = (sales price, number sold) = (3, 8000), (6, 5000)
<u>Find</u>:
slope-intercept equation for a line through these points
<u>Solution</u>:
When given two points, it often works well to start with the 2-point form of the equation for a line.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
Filling in the given points, you have ...
y = (5000 -8000)/(6 -3)/(x -3) +8000
y = (-3000/3)(x -3) +8000
y = -1000x +3000 +8000 . . . . eliminate parentheses
y = -1000x +11000 . . . . the desired equation
( 16-24)-(57-77)÷(-2)
= -8-(-20)÷-2
= -8+20÷-2
= -18
Answer -18 <<<
Answer:
x^2 - 5x - 66
Step-by-step explanation:
1. Distrubute the x to the x and -11 so you will get x^2 - 11x
2. Distrubute the 6 to x and -11 and you get 6x - 66
3. Combine like terms (x^2 - 11x + 6x - 66) you will get x^2 - 5x - 66
Answer:

Step-by-step explanation:
We want to verify the identity:

Let us take the LHS and simplify to get the LHS.
Express everything in terms of the cosine and sine function.

Collect LCM

We simplify the RHS to get:

We rationalize to get:

We expand to get:

Factor negative one in the denominator:

Apply the Pythagoras Property to get:

Simplify to get:

Or

Divide both the numerator and denominator by sin x

This finally gives:
