-4m-8=-8-4m
+4 +4
__________
-8=-8
or
1=1
Answer:
1. 4 as that is when he is closest.
2. 3 is when he is waiting as the graph is horizontal showing no movement
3. 4 would change as that is showing his pace walking home if it increased the slope would become steep but if it decreased it would level out more.
Step-by-step explanation:
Answer:
The common difference is same = d = -9
Therefore, the data represent a linear function.
Step-by-step explanation:
Given the table
x y
1 4
2 -5
3 -14
4 -23
5 -32
Finding the common difference between all the adjacent terms of y-values
d = -5 - 4 = -6,
d = -14 - (-5) = -14+5 = -9
d = -23 - (-14) = -23 + 14 = -9
d = -32 - (-23) = -32 + 23 = -9
It is clear that the common difference between all the adjacent terms is same.
Thus,
d = -9
We know that when y varies directly with x, the function is a linear function.
Here, it is clear that each x value varies 1 unit, and each y value varies -9 units.
i.e. The common difference is same = d = -9
Therefore, the data represent a linear function.
3 gallons of acid = 100% concentration acid
? (water+acid) gallons = 15 concentration acid
Note: Every gallon of water added reduces the percentage concentration of acid. Therefore, the relationship is inverse proportionality.
Solution:
Total number of gallons (water+acid) = (3*100)/15 = 20 gallons
Therefore, gallons of water = 20-3 = 17 gallons
Answer:
The age of each bug
Step-by-step explanation:
Discrete variables are variables which are counted and can only take on whole number values such as 1, 2, 3...,. For example, the number of students in a class; the number of legs of a spider.
Continuous variables are variables that are measured and can take on a whole range of values such as 1.0, 1.1, 1.2...,. For example, the wingspan of a bug, the length of leaves; the exact age of students in a class.
Though age is a continuous variable if the exact age is required as it can take up a wide range of values such as 2.5 years; 2.3 years, 5.8 days etc,. However, in some instances, it can be rounded up to whole number values in years, months, weeks or even days.
For example, the age of a bug in days could be 1 day, 2 days, or 14 days.
The age of a student who is 12.2 years can be given as 12 years.