Answer:
y - 5 = -3(x - 12)
General Formulas and Concepts:
<u>Algebra I</u>
Coordinates (x, y)
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
Point (12, 5)
Slope <em>m</em> = -3
<u>Step 2: Write Function</u>
<em>Plug in variables into the general formula.</em>
- Substitute [PSF]: y - 5 = -3(x - 12)
Answer:
a=6, b=-5
a=12, b=-5
Step-by-step explanation:
We have the equation
![\frac{1}{4}(2a-20x)=3+bx](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%282a-20x%29%3D3%2Bbx)
we will try to resolve for
in terms of
and ![b](https://tex.z-dn.net/?f=b)
Then
![\frac{1}{4}(2a-20x)=3+bx\\\frac{a}{2}-5x=3+bx\\\frac{a}{2}-3=5x+bx\\\frac{a-6}{2}=(5+b)x\\\frac{a-6}{2}\frac{1}{5+b}=x\\\frac{a-6}{10+2b}=x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%282a-20x%29%3D3%2Bbx%5C%5C%5Cfrac%7Ba%7D%7B2%7D-5x%3D3%2Bbx%5C%5C%5Cfrac%7Ba%7D%7B2%7D-3%3D5x%2Bbx%5C%5C%5Cfrac%7Ba-6%7D%7B2%7D%3D%285%2Bb%29x%5C%5C%5Cfrac%7Ba-6%7D%7B2%7D%5Cfrac%7B1%7D%7B5%2Bb%7D%3Dx%5C%5C%5Cfrac%7Ba-6%7D%7B10%2B2b%7D%3Dx)
Note that if the denominator is 0, then the division is undefined and therefore there would be no solution for x.
Then, the denominator is 0 if
.
Then, for the pairs
a=6, b=-5 and a=12, b=-5, there is no solution for x.
Answer:
Average decrease in car's value per year = 1800$
Explanation:
The worth of car bought by Mr. Solan = 30000$
Reduction of car's price = 5400$
Number of years considered for measuring reduction of car's price = 3 years.
Average of values = Total of the values/ Number of values.
Average reduction per year = Total reduction/ Number of years.
= 5400/3 = 1800$
So average decrease in car's value per year = 1800$
Answer:
a - 23,750 bulbs
Step-by-step explanation:
950 x 25 = 23,750