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skelet666 [1.2K]
3 years ago
8

Linda planned to spend 9 hours practicing piano this week. By tuesday,she had spent 2 1/2 hours practising. How much longer does

she need to practice to reach her goal?
Mathematics
1 answer:
faust18 [17]3 years ago
5 0

Just subtract 9:00-2:30 so your answer should 6 hours and 30 minutes or 6 1/2 hours

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Find the difference quotient and simplify your answer. f(x) = 4x − x2, f(4 + h) − f(4) h , h ≠ 0
Anon25 [30]

The difference quotient and simplification will be    = [4 -h-2x]

The given equation is as follows:   f(x)= 4x - x²

For finding the quotient and further simplification we must follow the following steps:

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

<h3>What is simplification of algebraic operations?</h3>

Getting the functions in their lowest terms is known as simplification.

Brackets will get open and solved further;

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

[f(x + h) - f(x)] / h = [4h - h² - 2x]/ h  

Finally dividing the whole equation with h;

                                = [4 - h - 2x] 

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7 0
1 year ago
Which of the following is the MOST accurate definition of standard deviation
zzz [600]

The MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average. Option 4

<h3>Definition of standard deviation</h3>

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It is calculated as the square root of the given variance.

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6 0
2 years ago
ILL MARK BRAINILEST !! 80 POINTS
mixas84 [53]

\\ \rm\rightarrowtail y=x^2-10x+16

\\ \rm\rightarrowtail y=x^2-10x+16+9-9

\\ \rm\rightarrowtail y=x^2-10x+25-9

\\ \rm\rightarrowtail y=(x-5)^2-9

Vertex form

  • y=a(x-h)^2+k

So

vertex:-

  • (h,k)=(5,-9)
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2 years ago
Decide whether the statement is true or false. If it is​ false, explain why. The union of the solution sets of 4xplus5equals13​,
postnew [5]

The given statement is false because it isn't an empty set!

<u>Step-by-step explanation:</u>

We have following sets of inequalities:

4x+5=13\\4x+5>13\\4x+5

From 4x+5=13 we get ,

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Therefore solution set is x=2.

Now, for 4x+5>13 we get ,  

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Therefore solution set is x>2.

For 4x+5 we get ,

4x+5

Therefore solution set is x<2.

Now, the union of x=2, x<2 & x>2 is  -∞<x<∞. i.e. all possible values of x. And so above statement is false because it isn't an empty set!

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2x^3(2x-1) - 3(2x-1)
= (2x^3-3)(2x-1)
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