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
Answer:
I think so, yes.
Step-by-step explanation:
Let's insert a few cases that might help clear up this issue:
Let's say you have a width of 0.5, and a length of 2.
The area is still 1.
Also, if we have a case, where length is 0.25, and the width is 4,
The area is still 1.
I think that proves the point that the LENGTH can be greater than 1 yard.
Answer:
No solution
Step-by-step explanation:
Anything that is in the Absolute value will always be a positive value
Answer:
y = |x - 5| + 4
Step-by-step explanation:
Because the graph is shifted up 4 units, that means the equation of the graph is:
y = |x| + 4
Because you are moving it 5 units to the right, the new equation is:
y = |x - 5| + 4
Answer:
The answer is expression 4㏒w(x² - 6) - (1/3)㏒w(x² + 8) ⇒ 3rd answer
Step-by-step explanation:
* Lets revise some rules of the logarithmic functions
- log(a^n) = n log(a)
- log(a) + log(b) = log(ab) ⇒ vice versa
- log(a) - log(b) = log(a/b) ⇒ vice versa
* Lets solve the problem
- The expression is
![log_{w}\frac{(x^{2}-6)^{4}}{\sqrt[3]{x^{2}+8}}](https://tex.z-dn.net/?f=log_%7Bw%7D%5Cfrac%7B%28x%5E%7B2%7D-6%29%5E%7B4%7D%7D%7B%5Csqrt%5B3%5D%7Bx%5E%7B2%7D%2B8%7D%7D)
∵ log(a/b) = log(a) - log(b)
∴ ![log_{w}(x^{2}-6)^{4}-log_{w}\sqrt[3]{x^{2}+8}](https://tex.z-dn.net/?f=log_%7Bw%7D%28x%5E%7B2%7D-6%29%5E%7B4%7D-log_%7Bw%7D%5Csqrt%5B3%5D%7Bx%5E%7B2%7D%2B8%7D)
∵ ∛(x² + 8) can be written as (x² + 8)^(1/3)
∵ log(a^n) = n log(a)
∴ 
∴ ![log_{w}\sqrt[3]{x^{2}+8}=\frac{1}{3} log_{w} (x^{2}+8)](https://tex.z-dn.net/?f=log_%7Bw%7D%5Csqrt%5B3%5D%7Bx%5E%7B2%7D%2B8%7D%3D%5Cfrac%7B1%7D%7B3%7D%20log_%7Bw%7D%20%28x%5E%7B2%7D%2B8%29)
∴ 
* The answer is expression 4㏒w(x² - 6) - (1/3)㏒w(x² + 8)
