Answer:
The inequality representing s, the number of sets of forks Nathan should buy is
s ≥ 21
Step-by-step explanation:
From the question, the restaurant needs at least 571 forks, i.e., if n represents the number of forks the restaurant needs, then
n ≥ 571
Also from the question, there are currently 361 forks. If y represents the number of forks the restaurant needs to buy, then
y ≥ 571 - 361
y ≥ 210
Also, each set on sale contains 10 forks. if s represents the number of sets of forks Nathan should buy, then
s ≥ 210/10
s ≥ 21
Hence, the inequality representing s, the number of sets of forks Nathan should buy is
s ≥ 21
a) We kindly invite to check the image attached below to see a detailed graph of the <em>piecewise</em> function.
b) The <em>piecewise</em> function is continuous.
<h3>How to understand a piecewise function</h3>
A <em>piecewise</em> function is a <em>conditional</em> combination of two or more functions, whose expression depends on which value of the domain is the function evaluated at.
a) The <em>piecewise</em> function described in the question is plotted on a graphing tool (i.e. <em>Desmos</em>), whose result is presented in the image attached below.
b) A function is <em>continuous</em> if and only if there is one value from range for every value of domain. The <em>piecewise</em> function is continuous as <em>linear</em> functions are continuous and the two functions of the <em>conditional</em> combination have the same value for x = 30.
To learn more on piecewise functions: brainly.com/question/12561612
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Answer:
<u>4 meters.</u>
Step-by-step explanation:
Benjamin has walked two legs of a right triangle, so you can connect her two movements with a line if you were sketching the situation.. The displacement is the objects overall change in position in relation to its origin, so in your case, Benjamin's apartment. While the total distance adds up regardless of her position.
So, the total distance Benjamin walked is 10m + 6m = 16m
Her displacement can be found by your best friends, the Pythagorean Theorem: 10m ^2 + 6m ^2 = delta x^2 (or displacement squared).. giving you a displacement of 11.66, or 12 m.
The difference between the distance she walked and her displacement is 4 meters.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Answer:
0.3
Step-by-step explanation:
Answer:
Linear equation: x = -1
Step-by-step explanation:
Vertical lines have undefined slopes, as represented by the linear equation, <em>x = a, </em>where the x-intercept is (a, 0).
A vertical line has <em>undefined</em> slope because all points the line have the same x-coordinate. Since any two points on a vertical line have the same x-coordinate, slope cannot be computed as a finite number. The equation cannot be expressed in slope-intercept form because it has an undefined slope.
Therefore, since you're given the point, (-1, 4), then it means that your equation will be: x = -1.
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