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kolezko [41]
3 years ago
12

Hey cutie pls help me thank u !!

Mathematics
1 answer:
andrey2020 [161]3 years ago
6 0
F(3)=5 // f(3)=2(3)-1 = 5
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How does the graph of g (x) = StartFraction 1 Over x minus 5 EndFraction + 2 compare to the graph of the parent function f (x) =
kipiarov [429]

Answer:

g(x) is shifted 5 units to the right and 2 units up

Step-by-step explanation:

We know that the translations equation is:

f(x) = \frac{a}{x-h}+k

The denominator is responsible for the translation on the x-axis, and (k) is responsible for the translation on the y-axis.

Take that (x) is always lying, and lies about the positive and negative sign in the denominator. So whenever we see a sign we take its opposite. In this case we have :

\frac{1}{x-5}+2

Now that we know x is lying, we will take the translation of the denominator as 5 units to the right. After the fraction is over we have a +2, so we know that there is a translation of 2 units up.

Hope this helped......

8 0
3 years ago
Haley had 7 pens. All of the pens are either blue or black, And there are 3 more blue pens than black pens. How many black pens
MaRussiya [10]
Hello! Haley has 7 pens, with 3 more of them being blue than black. If you do some mental math, you know that 5 is 3 more than 2 and 2 + 5 is 7. So Haley has 5 blue pens and 2 black pens.
8 0
4 years ago
What is the equation of the parabola?<br>​
Novay_Z [31]

Answer:

The simplest equation for a parabola is y = x^2

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4 years ago
Baking pans are discounted at 15% off the regular price of $2. How much money will be saved?
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6 0
4 years ago
Read 2 more answers
Solve the following equation with the initial conditions. x¨ + 4 ˙x + 53x = 15 , x(0) = 8, x˙ = −19
Katen [24]

x''+4x'+53x=15

has characteristic equation

r^2+4r+53=0

with roots at r=-2\pm7i. Then the characteristic solution is

x_c=C_1e^{(-2+7i)t}+C_2e^{(-2-7i)t}=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)

For the particular solution, consider the ansatz x_p=a_0, whose first and second derivatives vanish. Substitute x_p and its derivatives into the equation:

53a_0=15\implies a_0=\dfrac{15}{53}

Then the general solution to the equation is

x=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)+\dfrac{15}{53}

With x(0)=8, we have

8=C_1+\dfrac{15}{53}\implies C_1=\dfrac{409}{53}

and with x'(0)=-19,

-19=-2C_1+7C_2\implies C_2=-\dfrac{27}{53}

Then the particular solution to the equation is

\boxed{x(t)=\dfrac1{53}e^{-2t}(409cos(7t)-27\sin(7t)+15)}

8 0
3 years ago
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