Answer:
yes it is 5
Step-by-step explanation:
Answer:
A) linear; function
Step-by-step explanation:
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Answer:
8 and 6
Step-by-step explanation:
Two numbers are such that their difference, their sum, and their product are to
each other as 1:7:24. Their product must equal what number?
:
Two numbers a & b
Let x = the multiplier
:
a - b = 1x
a + b = 7x
a * b = 24x
:
Add the 1st two equations
a - b = x
a + b = 7x
2a = 8x
a = 4x
or
x = .25a
:
a * b = 24x
Replace 24x; a = 4x therefore:
a * b = 6a
b = 6
;
Using the 1st equation
a - b = 1x
Replace b with 6 and x with .25a
a - 6 = .25a
a - .25a = 6
.75a = 6
a =
a = 8
:
Find the multiplier
a - b = x
8 - 6 = 2
:
Check this
a - b = 2 (1*2)
a + b = 14; (7*2)
a * b = 48: (24*2)
:
The numbers are 8 and 6; their products = 48
First, we can note that the relation between the independent and the dependent variables is a linear relation.
We will need two points: (1,3) and (2,5)
The general form of the equation of the linear line is:
y = mx + c where m is the slope and c is the y-intercept
To get the slope, we will use the following rule:
m = (y2-y1) / (x2-x1)
m = (5-3) / (2-1) = 2
The equation of the line now becomes:
y = 2x + c
To get the value of the c, use any of the given points and substitute in the equation. I will use (1,3) as follows:
y = 2x + c
3 = 2(1) + c
c = 3-2 = 1
Therefore, the equation of the line is:
y = 2x + 1
