Answer:
A line is increasing if it goes up from left to right. The slope is positive, i.e. m > 0 {\displaystyle m>0} .
A line is decreasing if it goes down from left to right. The slope is negative, i.e. m < 0 {\displaystyle m<0} .
If a line is horizontal the slope is zero. This is a constant function.
If a line is vertical the slope is undefined (see below).
Answer:
The carpenter will not be able to buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
Step-by-step explanation:
Given:
Amount a carpenter can spend at most = $250
The inequality to represent the amount he can spend on each type of board is given as:

where
represents '2 by 8 boards' and
represents '4 by 4 boards'.
To determine whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
Solution :
In order to check whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards' , we need to plugin the
and
in the given inequality and see if it satisfies the condition or not or in other words (12,14) must be a solution for the inequality.
Plugging in
and
in the given inequality



The above statement can never be true and hence the carpenter will not be able to buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
1.04 ^ 1/12 = 0.086666666
or
1.04 ^ 1/12 = 13/150
Answer:
The value of n = -10
Step-by-step explanation:
Given the points
Finding the slope between (3, n) and (4,0)

As slope = 10
using the formula
Slope = [y₂ - y₁] / [x₂ - x₁]
so substituting the values
10 = [0 - n] / [4 - 3]
10 = -n / 1
10 = -n
n = -10
Therefore, the value of n = -10
Answer:
1st one
Step-by-step explanation: