Answer:
y=6x+8
Step-by-step explanation:
Write in slope-intercept form, y=mx+b.
Answer:
- 8x + 3y = 57
- y = -8/3x + 19
- y + 5 = -8/3(x - 9)
Step-by-step explanation:
<u>Given function</u>
<u>Line parallel to the given has the same slope and passes through the point </u>
<u>Determining the equation</u>
- 8x + 3y = c
- 8*9 + 3*(-5) = c
- c=72 - 15
- c = 57
<u>So the function is in </u><u>standard</u><u> form</u>
<u>Converting to </u><u>slope-intercept</u><u> form</u>
- y = mx + b
- 3y = -8x + 57
- y = -8/3x + 573
- y = -8/3x + 19
<u>Point-slope</u><u> form, using the given point</u>
- y - y1 = m(x - x1)
- y - (-5) = -8/3(x - 9)
- y + 5 = -8/3(x - 9)
Given:
Cost of printing a catalog: flat rate of $52 and $0.20 per copy.
C = 52 + 0.20x
C is the total cost of printing x number of copies.
x = 500
C = 52 + 0.20(500) = 52 + 100 = 152
x = 1000
C = 52 + 0.20(1000) = 52 + 200 = 252
x = 1500
C = 52 + 0.20(1500) = 52 + 300 = 352
x = 2000
C = 52 + 0.20(2000) = 52 + 400 = 452
x = 2500
C = 52 + 0.20(2500) = 52 + 500 = 552
All functions have an inverse expression.
- The cost function is: .
- The inverse function is:
From the question, we have the following observations:
- Base fare = 50000 pesos for first 100
- Additional guest = 100 pesos
So, the cost function would be:
Where: x represents the number of guests, and C(x) represents the cost function
Expand
Evaluate like terms
To calculate the inverse function, we have:
Replace C(x) with y
Swap x and y
Subtract 40000 from both sides
Divide both sides by 100
Rewrite as:
Split
Hence, the inverse function is:
Read more about functions and inverse at:
brainly.com/question/10300045
Answer:
A vector is a quantity having direction as well as magnitude, especially as determining the position of one point in space relative to another.