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Elan Coil [88]
3 years ago
14

Determine whether the function f(x) = 3(x − 1)4 is even or odd. The function is even because f(x) = f(−x). The function is odd b

ecause f(x) = f(−x). The function is even because f(x) = −f(x). The function is odd because f(x) = −f(x).
Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

Answer:

Step-by-step explanation:

given that

f(x)=3(x-1)^4

In order to determine whether a function is odd or even we are required to substitute x with -x and simplify

if f(-x) =f(x) it is an even function

if f(-x)=-f(x) it is an odd function

Hence

Let us put x=-x in our f(x)

f(-x)=3(-x-1)^4\\=3(-1(x+4))^4\\=3(x+1)^4

which is an entirely a  new function has no relation with the f(x) Hence it is neither an even function or an odd function.

I think some part of the question is missing here. Please recheck it once.

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Marat540 [252]

Answer:

x = \frac{5 + \sqrt{53}}{2}  or  x = \frac{5 - \sqrt{53}}{2}

Step-by-step explanation:

Given

x^2 - 5x - 7 = 0

Required

Solve for x using:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

First, we need to identify a, b and c

The general form of a quadratic equation is:

ax^2 + bx + c = 0

So, by comparison with x^2 - 5x - 7 = 0

a = 1     b = -5      c = -7

Substitute these values of a, b and c in

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}

x = \frac{5 \± \sqrt{25 +28}}{2}

x = \frac{5 \± \sqrt{53}}{2}

Split the expression to two

x = \frac{5 + \sqrt{53}}{2}  or  x = \frac{5 - \sqrt{53}}{2}

To solve further in decimal form, we have

x = \frac{5 + 7.28}{2}  or  x = \frac{5 - 7.28}{2}

x = \frac{12.28}{2}  or  x = \frac{-2.28}{2}

x = 6.14 or x = -1.14

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Find the value of x that makes the lines parallel
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The equation is
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If Sarah invests $5,000 into a fund that earns 6% interest compounded annually, how long will it take for her investment to grow
yarga [219]

Answer:

40

Step-by-step explanation:

so next year her money would be 6% more so:

5000 + (0.6 * 5000) = (1.06) * 5000

So each year she'll have : (1.06)*(last year's money)

So we can say after n years she will have :

((1.06)^n) * 5000

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5000((1.06)^n)=50000

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Sales staff in a particular jewelry store makes $200 each week +5% of the sales which point describes the amount of money to sta
malfutka [58]

Answer:

Total amount paid to staff = $250

Step-by-step explanation:

Given:

Weekly payment = $200

Commission = 5% on sales

Amount of jewelry = $1,000

Find:

Total amount paid to staff

Computation:

Total amount paid to staff = Weekly payment + Commission

Total amount paid to staff = $200 + $1,000(5%)

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Laura says that the distance between (4,-2) and (4,-7) in the coordinate plane is equal to |-2-(-7)|units Ryan say that the dist
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Answer:

Both are correct.

Step-by-step explanation:

In the point (4,-2) and (4,-7), the x-coordinates are same. So, the distance between these points is the absolute difference between the y-coordinates of these points.

Distance=|-2-(-7)|=5\text{ units}

So, Laura is correct.

In the point (2,3) and (-9,3), the y-coordinates are same. So, the distance between these points is the absolute difference between the x-coordinates of these points.

Distance=|2-(-9)|=|2+9|=11\text{ units}

So, Ryan is correct.

Hence, both are correct.

3 0
3 years ago
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