By using an online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.
<h3>How to graph a system of inequalities?</h3>
An inequality is a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
- Less than or equal to (≤).
- Greater than or equal to (≥).
Given the following system of inequalities:
y ≤ 1/3x ⇒ y - 1/3x ≤ 0
y - 2x < 4
By using an online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.
Read more on inequalities here: brainly.com/question/24372553
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<u>Complete Question:</u>
Graph the following system of inequalities.
y ≤ 1/3x and y - 2x < 4
Answer:
Solutions are (1,2) and (-1/2,5)
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Step-by-step explanation:
y=6x^2-5x+1
y=-2x+4
<em>Substitute</em>
-2x+4=6x^2-5x+1
<em>Simplify</em>
0=6x^2-3x-3
<em>Solve by factoring</em>
(x-6/6)(x+3/6)=0
x-1=0, x+1/2=0
x=1, x=-1/2
<em>Plug x's into oringinal equation</em>
y=-2(1)+4, y=-2(-1/2)+4
y=-2+4, y=1+4
y=2, y=5
<em>Write out solutions</em>
(1,2) and (-1/2,5)
what are you asking im confused
The probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.
<h3>What is probability?</h3>
Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event. The probability of an event can not be more than the number 1.
John is playing a game of darts. In this game of dart,
- The probability that he throws a dart into the center of the dart board (the Bull’s eye) is 1/10.
- The probability that he throws the dart into the 10-point ring is 3/10.
The probability that he either hits a Bull’s eye or scores 10 points is equal to the sum of the probability he hits the bull's eye and the probability that he throws the dart into the 10-points ring.
Let, the probability that he either hits a Bull’s eye or scores 10 points is P. Thus,
Hence, the probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.
Learn more about the probability here;
brainly.com/question/24756209
