Answer: (-24,2)
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Work Shown:
The y coordinate stays the same. Only the x coordinate will change.
(1/4)*x = -6
x = -6*4
x = -24 is the new x coordinate
Plugging x = -24 into f((1/4)x) leads to f(-6) = 2
You did not provide a list of expressions to select from.
Let A = area
Let w = width
Let (w + 5) = length
A = (w + 5)w
Answer:
The approximate length of the garden is at least 22 feet and at most 51 feet.
Step-by-step explanation:
A rectangular garden must have a perimeter of 145 feet.
Let x feet be the lengths of the garden. Then the width of the garden can be found using the perimeter:

The area of the garden is

The area must be at least 1,100 square feet, then

Solve this quadratic inequality:
![D=(-72.5)^2-4\cdot 1,100=856.25\\ \\\sqrt{D}=25\sqrt{1.37}\\ \\x_1=\dfrac{72.5-25\sqrt{1.37}}{2}\approx 22\\ \\x_2=\dfrac{72.5+25\sqrt{1.37}}{2}\approx 51\\ \\(x-22)(x-51)\le 0\\ \\x\in [22,51]](https://tex.z-dn.net/?f=D%3D%28-72.5%29%5E2-4%5Ccdot%201%2C100%3D856.25%5C%5C%20%5C%5C%5Csqrt%7BD%7D%3D25%5Csqrt%7B1.37%7D%5C%5C%20%5C%5Cx_1%3D%5Cdfrac%7B72.5-25%5Csqrt%7B1.37%7D%7D%7B2%7D%5Capprox%2022%5C%5C%20%5C%5Cx_2%3D%5Cdfrac%7B72.5%2B25%5Csqrt%7B1.37%7D%7D%7B2%7D%5Capprox%2051%5C%5C%20%5C%5C%28x-22%29%28x-51%29%5Cle%200%5C%5C%20%5C%5Cx%5Cin%20%5B22%2C51%5D)
Answer:
x = 0
Step-by-step explanation:
ln x + 5, similarily to ln x, has no right asymptote, because it goes to infinity (very slowly), but also any line y=ax+b raises faster than ln x for positive a.
It has a left asymptote though - ln x deacreases very fast as x approaches 0, so it has a vertical asymptote of x = 0.