Let's take as example a linear function of the form:
y = kx.
Where,
k is the constant of proportionality.
Therefore, the proportionality constant is the point:
(x, kx)
Generically it is always the point:
(x, k * f (x))
Where, f (x) is a function proportional to x.
answer:
The constant of proportionality is always the point (x, k * f (x)), where k is the constant of proportionality.
The computation shows that the number of pages is 320.
The number of pages read in this second day will be 120.
<h3>How to illustrate the information?</h3>
Fraction read on first day = 1/4
Fraction news on second day = 1/2 × 3/4 = 3/8
Fraction read on last day = 1 - (1/4 + 3/8) =3/8
The number of pages that the book has will be:
= 3/8 × x = 120
0.375x = 120
x = 120/0.375
x = 320
The number of pages is 320.
b. The number of pages read on this second day will be:
= 3/8 × 320
= 120
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Answer:
1/2 is the slope of the line
Step-by-step explanation:
To find slope, use the following equation
slope (m) = (y₂ - y₁)/(x₂ - x₁)
First, set each coordinate. Let:
(x₁ , y₁) = (8 , -6)
(x₂ , y₂) = (4 , -8)
Plug in the corresponding numbers for the corresponding variables.
m = (y₂ - y₁)/(x₂ - x₁)
m = (-8 - (-6))/(4 - 8)
Simplify. Note that two negative signs would result in a positive sign.
m = (-8 + 6)/(4 - 8)
Combine like terms.
m = -2/-4
Simplify. Divide common factors from both the numerator and denominator.
m = (-2/-4)/(-2/-2) = 1/2
1/2 is the slope of the line
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Answer:
Option C.
Step-by-step explanation:
The given expression is
It can be written as
Therefore, the correct option is C.
Answer:
9
Step-by-step explanation:
4+5=9
