The third one, this is because you take your y2 and y1 values (y2=0 and y1=9 because these are the two y values given to you from each coordinate) and subtract 0-9. then you do the same, but with the x2 and x1 values. so your x1 value is 3 and your x2 value is 0, so you subtract 0 from 3. divide your second answer from the first answer, to get a gradient of -1/3 x. now using the first coordinate (0,9) you know that the y coordinate is 9. as the x value =0, we know that the line is passing through the y axis at 9 so 9 is your y intercept. this gives you the equation -1/3x+9. hope this helped and wasn't too confusing!
Answer: F / 0.15 = 100F / 15 = 20F / 3 ≈ 6.67F.
Explanation:
1) The three expresssions, F / 0.15; 15 F / 100; 3F / 20; are equivalent.
2) The number of figurines Kat owned last year may be expressed in terms of the number the of figurines purchased, F, this year, and the 15%, following this procedure:
- Call n the amount of figurines owned last year.
- F is the number of figurines purchased: F = 15%n = 0,15n
- Hence, you just need to clear F from the expression F = 0.15n
- Divide both sides by 0.15:
F / 0.15 = n or n = F / 0.15 (reflexive property)
- To prove the equialavence of the other expresssions you just have to use the properties of multiplication or division:
(F / 0.15) × (100 / 100) = 100F / 15
100F / 15 = (100/5)F / (15/5) = 20F / 3 ≈ 6.67F
Cost of bag of soil = x-3 where x is the price of a flower pot
41=3x + 5(x-3)
41=3x + 5x -15
41=8x -15
41+15=8x
56=8x
56÷8=x
$7.00=x
Plug in 0 for x
0 - 6y = 30
y = -5
Y intercept: (0,-5)
Plug in 0 for y
5x = 30
X = 6
X intercept: (6,0)
