You just need to divide 5 by 10
5 divided by 10 = 0.5
Answer:
y = -6x - 5
Step-by-step explanation:
To find the equation using the point-slope equation, we need the slope and the y-intercept of the line
<u>Finding the slope of the line:</u>
We will calculate the slope between these 2 points: (-1 , 1) and (0 , -5)
Slope = Rise / Run
Rise of the line = y1 - y2
Rise = 1 - (-5)
Rise = 1 + 5
Rise = 6
Run of the line = x1 - x2
Run = -1 - 0
Run = -1
Slope of the line:
<em>Slope = Rise / Run</em>
<em>Slope = 6 / -1</em>
<u>Slope = -6 </u>
<u></u>
<u>Finding the y-intercept:</u>
y-intercept of a line is the y-ordinate of the point where the line intersect the y-axis
From the graph, we can see that the line intersects the y-axis at (0 , -5)
y-coordinate of the point = -5
<u>y-intercept = -5</u>
<u></u>
<u>Equation of the line:</u>
This is the general formula of the slope-intercept:
y = mx + b (where m is the slope of the line and b is the y-intercept )
Replacing the variables
y = (-6)x + (-5)
y = -6x - 5
45 = (x) + (x + 1) + (x + 2)
45 = 3x + 3
- 3
42 = 3x
/3
14 = x
45 = 14 + (14 + 1) + (14 + 2)
45 = 14 + 15 + 16
The ages of the 3 friends are 14, 15, and 16.
Total road length is 36 miles.
If one crew’s rate is x miles/day, the other is 1.4x miles/day.
The collective distance per day is x+1.4x,
so in five days the distance is 5(x+1.4x).
Set that equal to the total distance:
5(x+1.4x)=36
simplify:
x+1.4x=7.2
x(1+1.4)=7.2
x(2.4)=7.2
x=3
Answer:
The Inequality representing the number of sales needed is 
.
Mali need to make at least <u>17 sales</u> for to earn $100.
Step-by-step explanation:
Given:
Amount paid per week = $50
Amount paid on per sale = 3
Total amount to be earned 
$100
We need to write and solve the inequality to find the number of sales need to be make.
Solution:
Let the number of sales need to be make be 'x'.
Now we can say that;
Amount paid per week plus Amount paid on per sale multiplied by number of sales should be greater than or equal to Total amount to be earned.
framing in equation form we get;
Hence the Inequality representing the number of sales needed is .
On Solving above Inequality we get;
Subtracting both side by 50 using Subtraction property of Inequality we get;
Now Dividing both side by 3 Using Division property of Inequality we get;
Hence Mali need to make at least <u>17 sales</u> for to earn $100.
