Answer:
We are given with a function ,
To find graph for the f(x).
First we simplify the given function.
Consider,
using identity, a² - b² = ( a - b )( a + b )
f(x) = 2x + 4
Obtained function represent a straight line whose slope is 2 and y-intercept is 4
Let say, y = 2x + 4
then when x = 0 we get, y = 4
when y = 0 we get, x = -2
So we get a graph of function that is a line passing through ( 0 , 4 ) and
( -2 , 0 )
Solution:
As we know π is an irrational number.The value of π is non terminating non repeating.
As we all know , π =,
The fact is still we are getting an irrational number.
As , 0 is a rational number.
So, The number which when added to π, to get a rational number is (-π).
Answer → π + (-π) = 0, i.e (-π) is that number.
Part A: The amount of ice cream increases as the temperature increases. Part B: the slope is 2 and the y-intercept will be 5.
<h3>What is the slope of a line which passes through points ( p,q) and (x,y)?</h3>Its slope would be:
Part A: The relationship between the temperature of the city and the number of ice cream cones sold.
From the graph, the dots on the graph increase in the up-right direction.
Thus, The amount of ice cream increases as the temperature increases.
Part B: The line of best fit
First, if we draw a line through the points
we select any 2 points on the line:
( p,q) and (x,y) as (15, 35) and (0, 5).
The slope (m) is:
So, the line of best fit is:
y = mx + c
y = 2(x - 0) + 5
y = 2x + 5
The y-intercept will be when x = 0
y = 2x + 5
y = 0 + 5
y = 5
Thus, the slope is 2 and the y-intercept will be 5.
Learn more about slopes here:
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