Hi, Please i need help with this question. Workings would be deeply appreciated .
1 answer:
Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .
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Answer:
3.825 kg apples.
Step-by-step explanation:
Let x kg be the amount of apples stand owner had initially.
We have been given that during the first hour of operation the farm stand owner sold 15% of the apples he had. Then the amount of sold apples will be:
On the second hour he sold 20% of the remaining apples. So the amount of sold apples on the second hour will be 20% of 0.85x.
During the second hour 25.5 kg of apples were sold, so we can set up an equation as:
So, stand owner had initially 150 kg of apples.
On the third hour he sold 25% of the remaining apples. So the amount of sold apples on the 3rd hour will be 25% of 0.68x
As remaining apples were sold 5% more each following hour.
Let us substitute x=150 into above equation we will get,
Therefore, 3.825 kg of apples were sold during the 4th hour.
Answer:
b = 3.5 cm
Step-by-step explanation:
Given that,
The area of a rectangle, A = 14. sq cm
The length of one side, l = 4 cm
We need to find the length of another side. The formula for the area of a rectangle is given by :
A = lb
So,
So, the length of the other side is equal to 3.5 cm.