Yes they are all proportional
The constant of proportionality is 1/3
and three more values are
x 1 2 3 4 5
y 3 6 9 12 15
<h3>Variation</h3>
From the question, we are to determine the constant of proportionality
The given equation is
k = x ÷ y
From the given information,
When x = 1, y = 3
∴ k = 1 ÷ 3
k = 1/3
Thus, the constant of proportionality is 1/3
Now, we will determine the values of y for the values x = 3, x = 4, and x = 5
Since
k = x ÷ y
Then,
y = x ÷ k
When x = 3
y = 3 ÷ 1/3
y = 3 × 3
y = 9
When x = 4
y = 4 ÷ 1/3
y = 4 × 3
y = 12
When x = 5
y = 5 ÷ 1/3
y = 5 × 3
y = 15
Hence, the constant of proportionality is 1/3
and three more values are
x 1 2 3 4 5
y 3 6 9 12 15
Learn more on Variation here: brainly.com/question/19641181
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Answer: C) I think?
Step-by-step explanation:
The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators answers is: False
Answer:
![\log_{2} [\frac{x^{3}(x + 4)}{3}]](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%20%5B%5Cfrac%7Bx%5E%7B3%7D%28x%20%2B%204%29%7D%7B3%7D%5D)
Step-by-step explanation:
We have to write the following logarithmic expression as a single logarithm.
The given expression is
![3\log_{2} x - [\log_{2} 3 - \log_{2}(x + 4)]](https://tex.z-dn.net/?f=3%5Clog_%7B2%7D%20x%20-%20%5B%5Clog_%7B2%7D%203%20-%20%5Clog_%7B2%7D%28x%20%2B%204%29%5D)
= 
{Since,
, from the properties of logarithmic function }
= 
{Since,
, which also a logarithmic property}
= ![\log_{2} [\frac{x^{3}}{\frac{3}{x + 4}}]](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%20%5B%5Cfrac%7Bx%5E%7B3%7D%7D%7B%5Cfrac%7B3%7D%7Bx%20%2B%204%7D%7D%5D)
=
(Answer)