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svetoff [14.1K]
3 years ago
12

Finding Horizontal and Vertical Translations

Mathematics
1 answer:
nevsk [136]3 years ago
7 0

Answer:

BLACK IVES MATTER

Step-by-step explanation:

BLACK LIVES MATTER

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Derek is playing a prank on Grace and hid her pencil inside a tissue box that has a width of 4 inches, a length of 8 inches, and
ohaa [14]

Answer:

9.8 Inch

Step-by-step explanation:

The distance from the upper left corner to the bottom right corner of the box is the longest diagonal of the box.

For a rectangular prism:

Length of the Longest diagonal =\sqrt{ l^2+h^2+w^2}

Therefore:

Length of the pencil=\sqrt{ 8^2+4^2+4^2}

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STatiana [176]

Answer:

To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and f^{-1}(x)= \frac{ln\ x+4}{2}

Step-by-step explanation:

Data provided in the question

f(x) = e^2x - 4

Now

to find the inverse let

So,

y = e^2x - 4

Now

Replace x and y

Therefore

x = e^2y - 4

Now compute the value of y

So,

x + 4 = e^2y

Now take ln on both sides:

The equation is

ln(x+4) = ln(e^2y)

ln(x+4) = 2y

y = ln(x+4) ÷ 2

f^{-1}(x)= \frac{ln\ x+4}{2}

Therefore,  To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and f^{-1}(x)= \frac{ln\ x+4}{2}

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3 years ago
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Amiraneli [1.4K]

Answer:

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

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The factors of the given polynomial are;

x - 2

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Multiplying the first two factors;

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

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We finally multiply this result by x to obtain our polynomial;

f(x) = x ( x^2 -x -2)

      = x^3 - x^2 -2x

which is a cubic polynomial since it has 3 roots.

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3 years ago
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<span>The cost of producing a new watch is $50. At a price of $100, watches will most likely be sold and good.</span>
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