1 - 1/2 (-x + 5) = 2 + 3 (1 - x)
1/2x + -3/2 = -3x + 5
7/2x + -3/2 =5
7/2x = 13/2
x = 13/7
Answer:
Reflected about the y-axis and then rotated 90° counterclockwise
Step-by-step explanation:
(x , y) to (-x , y) --> reflected over y-axis
then (-x , y) --> (-y, -x) -->90 degrees rotation counterclockwise
So answer is the last one
Reflected about the y-axis and then rotated 90° counterclockwise
Answer:
12.50 + (7.5)(h-1) ≤ 50
6 hours or less
Step-by-step explanation:
The first hour is 12.50. Each additional hour is 7.50
Let h be the number of hours
12.50 + (7.5)(h-1)
We use h-1 since the first hour is 12.50
This must be less than or equal to 50
12.50 + (7.5)(h-1) ≤ 50
Now we solve the inequality
Subtract 12.50 from each side
12.50-12.50 + (7.5)(h-1) ≤ 50-12.50
(7.5)(h-1) ≤ 37.50
Divide by 7.5 on each side
(7.5)/7.5(h-1) ≤ 37.50/7.5
h-1 ≤ 5
Add 1 to each side
h-1+1 ≤ 5+1
h ≤ 6
We can only rent for 6 hours or less
Complete question :
A candy bar manufacturer is interested in trying to estimate how sales are influenced by the price of their product. To do this, the company randomly chooses 6 small cities and offers the candy bar at different prices. Using candy bar sales as the dependent variable, the company will conduct a simple linear regression on the data below:
City - - - - - - - Price ($) -- - Sales
River City - - 1.30 - - - - - - 100
Hudson - - - 1.60 - - - - - 90
Ellsworth - - - 1.80 - - - - - 90
Prescott - - - - 2.00 - - - - 40
Rock Elm - - 2.40 - - 38
Stillwater - - 2.90 - - 32
Answer:
78.39%
Step-by-step explanation:
Given the data :
Price (X) :
1.30
1.60
1.80
2.00
2.40
2.90
Sales (y) :
100
90
90
40
38
32
The percentage of the total variation in candy bar sales explained by the regression model can be obtained from the value of the Coefficient of determination(R^2) of the regression model. The Coefficient of determination is a value which ranges between 0 - 1 and gives the proportion of variation in the dependent variable which can be explained by the dependent variable.
R^2 value is obtained by getting the squared value of R(correlation Coefficient).
The R value obtained using the online R value calculator on the data is : - 0.8854
Hence, R^2 = (-0.8854)^2 = 0.7839
Expressing 0.7839 as a percentage ;
0.7839 × 100 = 78.39%
Answer:
Step-by-step explanation:
The total bill = 44.65