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Romashka [77]
4 years ago
14

Write y= x^2 - 4x + 6 in vertex form . NEED ASAP!! please !!

Mathematics
1 answer:
worty [1.4K]4 years ago
6 0
First, complete the square.
y = (x^2 - 4x + 4) + 2
y = (x - 2)^2 + 2
There you go. Have a nice day! :)
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What is the sum of the first 70 consecutive odd numbers? Explain.
expeople1 [14]

The sum of the first n odd numbers is n squared! So, the short answer is that the sum of the first 70 odd numbers is 70 squared, i.e. 4900.

Allow me to prove the result: odd numbers come in the form 2n-1, because 2n is always even, and the number immediately before an even number is always odd.

So, if we sum the first N odd numbers, we have

\displaystyle \sum_{i=1}^N 2i-1 = 2\sum_{i=1}^N i - \sum_{i=1}^N 1

The first sum is the sum of all integers from 1 to N, which is N(N+1)/2. We want twice this sum, so we have

\displaystyle 2\sum_{i=1}^N i = 2\cdot\dfrac{N(N+1)}{2}=N(N+1)

The second sum is simply the sum of N ones:

\underbrace{1+1+1\ldots+1}_{N\text{ times}}=N

So, the final result is

\displaystyle \sum_{i=1}^N 2i-1 = 2\sum_{i=1}^N i - \sum_{i=1}^N 1 = N(N+1)-N = N^2+N-N = N^2

which ends the proof.

5 0
3 years ago
Which expression is equivalent to (4 x cubed) (2 x) superscript negative 4?
Shalnov [3]

Answer:

section covers somplifying algebraic expressions

Step-by-step explanation:

<h3>(4x^{3})(2x^{-4}) = \frac{4x^{3} }{2x^{4} } = 2/x⇒</h3>
7 0
2 years ago
A ferry takes several trips between points A and B. It moves at a constant speed of 0.35 miles/minute and takes the same route o
Fofino [41]

The answer is  -|0.35 t -14| +14

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The problem statement is asking for an expression for distance in miles, so the constants in the expression will be miles. In the time it takes to get to point B (40 minutes), the ferry has gone (0.35 mi/min)×(40 min) = 14 mi. Hence the maximum value of the function must be 14. The only function with that characteristic is the one of selection D.

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slava [35]

Answer:

180°

Step-by-step explanation:

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Simplify. 8c³d²/4cd²
loris [4]

Answer:

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6 0
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