Answer:
y = (1/3)x + 7
y = (1/3)x - 15
These are two examples out of an unlimited number of possibilities.
Step-by-step explanation:
The slope of this given line is -3. Any new line perpendicular to this one is the negative reciprocal of -3: 1/3.
The slope-intercept form is y = mx + b. Here m = 1/3, so the revised form is
y = (1/3)x + b.
Two straight lines perpendicular to the given line are easily found by selecting two different values for b:
y = (1/3)x + 7
y = (1/3)x - 15
Answer: the service charge per hour for premium services is $5.5
the service charge per hour for regular services is $3
Step-by-step explanation:
Let x represent the service charge per hour for premium services.
Let y represent the service charge per hour for regular services.
One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. It means that
2x + 9y = 38- - - - - - - - - - - 1
Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. It means that
3x + 6y = 34.5- - - - - - - - - - -2
We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes
6x + 27y = 114
6x + 12y = 69
Subtracting, it becomes
15y = 45
y = 45/15
y = 3
Substituting y = 3 into equation 1, it becomes
2x + 9 × 3 = 38
2x + 27 = 38
2x = 38 - 27 = 11
x = 11/2 = 5.5
Answer:
y = 0.3X + 18.3
Step-by-step explanation:
Given that data :
x = year ;
y = trunk diameter, in inches
Year ________trunk diameter
1 __ 18.6
3 __ 19.2
5 __ 19.8
7 __ 20.4
9 ___21.0
11 __ 21.6
13 __ 22.2
Using the linear regression calculator :
The linear equation obtained is :
y = 0.3X + 18.3
Where ;
Slope = 0.3 ; intercept, c = 18.3
Answer:
35º
Step-by-step explanation:
90-55 = 35º
