Answer:
6
Step-by-step explanation:
this should br what it looks like
<h2>
Answer with explanation:</h2>
We are asked to prove by the method of mathematical induction that:
where n is a positive integer.
then we have:
Hence, the result is true for n=1.
- Let us assume that the result is true for n=k
i.e.
- Now, we have to prove the result for n=k+1
i.e.
<u>To prove:</u> 
Let us take n=k+1
Hence, we have:
( Since, the result was true for n=k )
Hence, we have:
Also, we know that:
(
Since, for n=k+1 being a positive integer we have:
)
Hence, we have finally,
Hence, the result holds true for n=k+1
Hence, we may infer that the result is true for all n belonging to positive integer.
i.e.
where n is a positive integer.
The answer must be 2.333333333 × 10^5
The inequalities are matched with their correct graph respectively as follows:
- D ⇒ {(x, y): y > x²}.
- G ⇒ {(x, y): y ≥ x²+ 3
- C ⇒ {(x, y): y ≤ 3x² + 2}
- A ⇒ {(x, y): y ≥ 2x² - 5x + 1}
- J ⇒ x²- 3x ≥ 0
- H ⇒ x² - 3x + 2 ≤ 0
- B ⇒ {(x, y): y ≤ 1 - x²}
- B ⇒ {(x, y): y ≥ -1}
<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.
<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 arguments:
- Less than (<).
- Greater than (>).
- Less than or equal to (≤).
- Greater than or equal to (≥).
In Geometry, if the leading coefficient of a quadratic equation is greater than (>) zero, the parabolic curve would open upward while the parabolic curve would open downward when the leading coefficient of a quadratic equation is less than (<) zero.
Read more on graph of inequalities here: brainly.com/question/24372553
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Complete Question:
Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)
1. A = {(x, y): y > x^2}
2. B = {(x, y): y ≥ x^2+ 3}
3. C = {(x, y): y ≤ 3x^2 + 2}
4. D = {(x, y): y ≥ 2x^2- 5x + 1}
6. x^2- 3x ≥ 0
7. x^2- 3x + 2 ≤ 0
8. {(x, y): y ≤ 1 - x^2}
9. {(x, y): y ≥ -1}
Answer:
The slope of this line will be y=-3/4x+3
Step-by-step explanation:
Hope this Helped
