Step-by-step answer:
Given:
A triangle
Perimeter = 60 cm
longest side = 4* shortest side (x)
Solution:
longest side = 4x
shortest side = x
third (intermediate side = 60 -x -4x = 60-5x
The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle. Hence
x + y > 4x
x + 60-5x > 4x
60 - 4x > 4x
8x < 60
x < 60/8 = 7.5, or
x < 7.5
Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.
Examine the options: both 7 and 5 are both less than 7.5 cm.
40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.
Now also examine cases where 4x is NOT the longest side, in which case we need
4x>=y
or
4x >= 60-5x
9x >=60
x >= 6.67
so x=5 will not qualify, because 4x will no longer be the longest side.
The only valid option is x=7 cm
The side lengths for x=7 and x=5 are, respectively,
(7, 25, 28)
5, 20, 35 (in which case, the longest side is no longer 4x=20, so eliminated)
Scatter Plot<span>. ... A </span>graph<span> of plotted points that show the relationship between two sets of data. In this example, each dot represents one person's weight versus their height</span>
From what I know this graph looks like that of a modulus function except it's shifted 1 unit to right and 1 unit below the origin.
So the original equation must be:
y = |x|
And the transformed equation (aka the equation if this graph) must be,
y+1 = |x| -1
y = |x| -2
Answer:
(a) 
--- The function
(b) 
--- The salary in 5 years
Step-by-step explanation:
Given
Solving (a): Model the function around (1,24100) and (3,36600)
First, we calculate the slope
The function is then calculated as:
Solving (b): Salary in 5 years
Here:
So:
