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Alex
1 year ago
9

Determine the range of the following graph:

Mathematics
2 answers:
serious [3.7K]1 year ago
6 0
The range of the graph is…

[-4,4] or -4<=y<=4
ale4655 [162]1 year ago
5 0
The answer is 8 Because look at the
Tallost of the grapht
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Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1​
Tamiku [17]

Base case: if <em>n</em> = 1, then

1² - 1 = 0

which is even.

Induction hypothesis: assume the statement is true for <em>n</em> = <em>k</em>, namely that <em>k</em> ² - <em>k</em> is even. This means that <em>k</em> ² - <em>k</em> = 2<em>m</em> for some integer <em>m</em>.

Induction step: show that the assumption implies (<em>k</em> + 1)² - (<em>k</em> + 1) is also even. We have

(<em>k</em> + 1)² - (<em>k</em> + 1) = <em>k</em> ² + 2<em>k</em> + 1 - <em>k</em> - 1

… = (<em>k</em> ² - <em>k</em>) + 2<em>k</em>

… = 2<em>m</em> + 2<em>k</em>

… = 2 (<em>m</em> + <em>k</em>)

which is clearly even. QED

8 0
3 years ago
What is the rate of 78 and 2
NeTakaya
78/2
= 39 is the answer
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3 years ago
What is a mathematical expression indicating to a root of a quantity?
vladimir1956 [14]
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3 years ago
Find the distance between the points given.<br><br> (-1, -1) and (1, 3)<br><br> √5<br> √(17)<br> 2√5
Pani-rosa [81]

Answer:

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Step-by-step explanation:

d = √(x2 - x1)² + (y2 - y1)²

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= √(2)² + (4)²

= √(4) + (16)

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5 0
3 years ago
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Answer:

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Step-by-step explanation:

Since we can't say "in parenthesis", we will have to say the expressions in the parenthesis first and then say "all multiplied by 2" to express parenthesis in word form. The rest are pretty straight forward.

5 0
3 years ago
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