Answer:
- y = 2x + 3
- y = -6x
- y = -x + 2
- y = 2x - 7
Step-by-step explanation:
<u>Slope-intercept form:</u>
<em>Hint. if we have x = 0, then the y-coordinate is the same as b</em>
<u>Slope</u>
33.
- m = (9 -(-3))/(3 - (-3)) = 12/6 = 2
- b = 3 as per table (0, 3)
34.
- m = (0-12)/(0 - (-2)) = -12/2 = -6
- b = 0, as per table (0, 0)
35.
- m = (2 - (-2))/(0 - 4) = 4/-4 = -1
- b = 2, as per table (0, 2)
36.
- m = (-5 - (-1))/ (1 -3) = -4/-2 = 2
Using point (3, -1)
- -1 = 2*3 + b
- b= -1 - 6= - 7
<u>Answer:</u>
x ---> 1
y ---> 5
<u>Step-by-step explanation:</u>
We are given paired values for two variables x and y and we are to determine the constant number by which each term is increased such that they are in a proportional relationship.
For x, we have the following paired values:

So here the difference between each consecutive term is 1 so the constant is 1.
And for y, we have:

In this case, the difference between each consecutive term is 5 so the constant is 5.
Answer:
12, 8, and 4
Step-by-step explanation:
a + d + a + a - d = 24
3a = 24 ⇒ [ a = 8 ]
and (a + d)² + a² + (a - d)² = 224
3a² + 2d² = 224
2d² = 224 - 192 = 32
d² = 16
[ d = ±4 ]
∴ The first three terms to A.P are
a + d = 8 + 4 = 12
a - = 8
a - d = 8 - 4 = 4
∴ Three terms are 12 , 8, and 4
Answer:
7 quarters 1 nickel
Step-by-step explanation:
7 x.25= 1.75
1.75+ .05= 1.80