Let's use the point-slope formula here:
y - 5 = -2(x - 3). That's it. You could, of course, rewrite this in slope-intercept form, as follows:
y = 5 - 2x + 6, or y = -2x + 11, in slope-intercept form.
Answer:
180
Step-by-step explanation:
This basically means that one and a half of the amount of people that took a biking class ran on the treadmill.
There are two ways to solve
1. 
2. 
To do the first one:
1. Multiply the values in the numerator
18000/100
2. Divide
180
To do the second one:
1. Divide the fraction
120 + 60
2. Add
180
The integers or -3, -2, -1,0, and 1
Answer:
The integer that represents the change in the temperature each week = 5
The temperature of the weather drops 5°F each week
Step-by-step explanation:
The given parameters regarding the weather are;
The range over which the temperature dropped = 20°F
The duration over which the temperature dropped = 4 weeks
The rate at which the weather dropped each week = The same amount (constant rate)
Therefore, we have;
For a constant rate of change, the rate of change of the temperature of the weather, m, is given as follows;
m = (The change in the temperature)/(The duration of the change)
m = 20°F/(4 weeks) = 5°F/week
The integer that represents the change in the temperature each week = 5
Answer:
(x , y) = ( -4 , 1)
Step-by-step explanation:
2x + 7y = -1 --------eqn 1
4x - 3y = -19 ----------eqn 2
Step 1: let's pick eqn 1, to make y the subject of the formula
2x + 7y = -1
7y = -1 - 2x
Divide both sides by 7, to make y the subject of the formula
7y/7 = (-1 - 2x)/7
y = (-1 - 2x) / 7
Step 2: substitute y into the equation 2
4x - 3y = -19
4x - 3(-1 - 2x)/7 = -19
Open the bracket
-3 * -1 = +3
-3 * -2x = +6x
4x +( 3 + 6x)/7 = -19
LCM = 7
(28x + 3 + 6x)/7 = -19
(34x + 3)/7 = -19
Cross multiply
34x + 3 = 7 * -19
34x + 3 = -133
34x = -133 - 3
34x = -136
Divide both sides by 34,to get the value of x
34x/34 = -136/34
x = -4
Step 3: substitute x = -4 into eqn 1
2x + 7y = -1
2(-4) + 7y = -1
-8 + 7y = -1
7y = -1 + 8
7y = 7
Divide both sides by 7, to the value of y
7y/7 = 7/7
y = 1
(x , y) = ( -4 , 1)
