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Lana71 [14]
3 years ago
11

Help?. . What is the equation of the function y=5/x translated 4 units to the left and 3 units up?. . I don't even know where to

start to do this, a little confused on the process to calculate?
Mathematics
1 answer:
Dahasolnce [82]3 years ago
4 0
Y = 5/x
If you want to shift the function 4 units left, you can add 4 to the x-value in the parent function:
y = 5 / ( x + 4 )
After that, you can add 3 to your function to shift it up 3 units.
y = 5 /( x + 4 )  + 3 ( the final equation )
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larisa86 [58]

Answer:

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7 0
3 years ago
How many real roots and how many complex roots does this expression have?<br> (x+7)^7
Feliz [49]

Answer:

One real root, with multiplicity 7.

Step-by-step explanation:

The given expresion is

{(x + 7)}^{7}

This is a seventh degree polynomial.

According to the fundamental theorem of Algebra, the expression has a potential 7 roots both real and complex.

This expression has one real root, with multiplicity , 7.

3 0
3 years ago
Estimate by first rounding each number to the nearest integer.<br> 1 7/9 - 6 2/11 a -5 b-4 c4 d5
lina2011 [118]
1 \frac{7}{9} = 2

6 \frac{2}{11} = 6

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The answer is A. -5
8 0
3 years ago
- Please help this is a Rational Inequality problem
Katyanochek1 [597]

1. The solution for the equation is -16t² + 64t > 0

2. The interval notation for the equation is (0, 4)

Given,

The height of the building = 400 feet

A ball is thrown straight up from the top of the building.

The initial velocity of the ball = 64 feet/second

The height of the object is modeled by, s(t) = -16t² + 64t + 400

1. Solution for the equation:

s(t) > 400

So,

-16t² + 64t + 400 > 400

Add -400 to both sides

ie, -16t² + 64t + 400 - 400 > 400 - 400

We get,

-16t² + 64t > 0

2. Now find the interval notation for the equation:

-16t² + 64t > 0

Here, 64/16 = 4

So,

-16t (t - 4) > 0

Now,

t = 0 and t - 4 = 0  

The interval notation for the equation is (0, 4)

Learn more about interval notation here:

brainly.com/question/28743524

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7 0
1 year ago
What is the derivative of this function: F(x)=(5e^4x)+(e^-x^6)
Fed [463]

Answer:

\dfrac{dF(x)}{dx} =20e^{4x}-6x^5e^{x^{-6}}

Step-by-step explanation:

The derivative of F(x) is calculated as follows:

\dfrac{dF(x)}{dx}=\dfrac{d}{dx} [(5e^{4x})+(e^{-x^6})]

\dfrac{dF(x)}{dx}=\dfrac{d}{dx} [(5e^{4x})]+\dfrac{d}{dx} [(e^{-x^6})]

\dfrac{dF(x)}{dx}=5\dfrac{d}{dx} [(e^{4x})]+\dfrac{d}{dx} [(e^{-x^6})]

using the chain rule we find that

\dfrac{d}{dx} [(e^{4x})]= \dfrac{d}{d(4x)} [(e^{4x})]+ \dfrac{d}{dx} [4x] = 4e^{4x},

\dfrac{d}{dx} [(e^{-x^6})] = \dfrac{d}{d(-x^6)} [(e^{-x^6})]+\dfrac{d}{dx} [(-x^6})]= -6x^5e^{-x^6};

therefore,

\dfrac{dF(x)}{dx}=5\dfrac{d}{dx} [(e^{4x})]+\dfrac{d}{dx} [(e^{-x^6})] =5(4e^{4x})-6x^5e^{x^{-6}}

\boxed{\dfrac{dF(x)}{dx} =20e^{4x}-6x^5e^{x^{-6}}}

8 0
3 years ago
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