Answer:
The slope is negative
Step-by-step explanation:
If the line is pointing down then the slope is negative. And if the line is pointing up then the slope is positive.
Without more info you cannot answer this question numerically. What is the given value of x?
Let's write y = 5x + 7 as a function: f(x) = 5x + 7.
Now if x=1, f(1) = 5(1) + 7 = 12
If x= -10, f( -10) = 5(-10) + 7 = -50 + 7 = -43
and so on.
The given function is represented by the straight line graph through (0, 7) with slope of 5.
Answer: 3y - x - 42 = 0
Step-by-step explanation:
The equation y + 1 = -3(x - 5)
Now expand the expression by opening the brackets
y + 1 = -3x + 15
Recall,
Equation of line , y = mx + c , where m = slope
rearranging the equation above in order to determine the ( m)
y = -3x -1 + 15
y = -3x + 14
Recall again condition for perpendicularity
m₁m₂ = -1
From the equation given, m₁ = -3, therefore , to get m₂
-3 x m₂ = -1
-3m₂ = -1
Therefore m₂ = -1/-3
m₂ = 1/3
Now , to find the equation of the second line parallel to the first one,
Just replaced the -3 in the equation above by m₂ = 1/3 in
y = -3x + 14
y = x/3 + 14
Now , multiply both the RHS and LHS of the equation by 3, to make it a linear.
3y = x + 3 x 14
3y = x + 42
3y - x - 42 =0
Answer
1) Relative frequency of prefering cold mocha amongst mocha drinkers = 0.32
2) Relative frequency of prefering a latte amongst hot coffee drinkers = 0.22
3) Type of coffee that has the highest percentage of people who prefer it cold = Regular
Explanation
1) Relative frequency of prefering cold mocha amongst mocha drinkers is given as
Relative frequency
= (Number of mocha drinkers who prefer it cold) ÷ (Total number of mocha drinkers)
Number of mocha drinkers who prefer it cold = 12
Total number of mocha drinkers = 12 + 25 = 37
Relative frequency = 12 ÷ 37 = 0.32
2) Relative frequency of prefering a latte amongst hot coffee drinkers is given as
Relative frequency
= (Number of latte drinkers who prefer it hot) ÷ (Total number of hot coffee drinkers)
Number of latte drinkers who prefer it hot = 19
Total number of hot coffee drinkers = 11 + 25 + 19 + 30 = 85
Relative frequency = (19/85) = 0.22
3) Percentage of people who prefer cold coffee for each coffee type
Regular
(17/28) = 60.7%
Mocha
(12/37) = 32.4%
Latte
(20/39) = 51.3%
Cappuccino
(27/57) = 47.4%
Regular coffee drinkers have the highest percentage of drinkers who prefer it cold.
Hope this Helps!!!
