The system of inequalities which is represented in the graph shown (see attachment) is:
- y ≥ x² -2x -3
- y ≤ x +3
<h3>What is an inequality?</h3>
An inequality can be defined as 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 (≥).
<h3>What is a graph?</h3>
A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
By critically observing the graph which models the system of inequalities shown, we can infer and logically deduce the following points:
- Both boundary lines on the cartesian coordinate are solid. Thus, the inequalities will both have the "equal to" sign.
- The shading occurred above the quadratic boundary line. Thus, the inequalities below the linear boundary line is given by y ≥ x² + and y ≤ x +
In conclusion, we can infer and logically deduce that the system of inequalities which is represented in the graph shown (see attachment) is:
- y ≥ x² -2x -3
- y ≤ x +3
Read more on graphs here: brainly.com/question/25875680
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Answer: 100+1.28(1/2)=100.64
Step-by-step explanation:
A random sample of size 16 is to be taken from a normal population having mean 100 and variance 4. ... The 90th percentile of the normal curve, according to the table I was provided, was equal to 1.28 standard units above the mean.
Answer:
8 square feet
Step-by-step explanation:
48/12=4
24/12=2
2x4=8
Answer:
B x = sqrt(41)
Step-by-step explanation:
Since the large triangle is isosceles, the smaller triangles on the right side and left side are congruent right triangles.
The base of each smaller right triangle is 4 units long (8/2 = 4).
The vertical leg is 5.
Use the Pythagorean theorem to find x.
a^2 + b^2 = c^2
4^2 + 5^2 = x^2
16 + 25 = x^2
x^2 = 41
x = sqrt(41)
Answer: B x = sqrt(41)
The total cost of the meal will be $54.
45 + 20% = 54