Answer:
r(x) = 14x - 18
Step-by-step explanation:
(p×2)(x) = 2×p(x) = 2×(7x - 9) = 14x - 18
The only true inequality is <u>-3 1/2 > -4.5</u>
Answer:
17 : 12
Step-by-step explanation:
A ratio is another way of expressing a fractional relationship between two or more values. In this case, the problem is asking one to represent the relationship between carrots to potatoes. It gives the number of carrots to the number of potatoes, so all one has to do is substitute in the number.
By taking advantage of characteristics between two <em>parallel</em> lines we conclude that the <em>linear</em> equation <em>parallel</em> to f(x) is g(x) = -(4/17) · x + 455/17.
<h3>How to determine the equation of a line parallel to another line</h3>
In accordance with the analytical geometry, two lines are <em>parallel</em> when they share the <em>same</em> slope (m) but <em>different</em> intercepts (b). <em>Linear</em> functions are usually are described by the following form:
y = m · x + b (1)
Where:
- x - Independent variable
- y - Dependent variable
Based on the given information, we conclude that g(x) has a slope of -4/17. Lastly, we use (1) and the given point to determine the intercept of the function:
27 = -(4/17) · (-1) + b
b = 455/17
By taking advantage of characteristics between two <em>parallel</em> lines we conclude that the <em>linear</em> equation <em>parallel</em> to f(x) is g(x) = -(4/17) · x + 455/17.
To learn more on linear functions: brainly.com/question/21107621
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