Answer:
Please check explanations
Step-by-step explanation:
Slopes are generally the ratio of rise(vertical difference) to fall (horizontal difference) for set of points lying on a straight line
Positive slopes show a positive relationship between the two things we are considering while a negative one shows otherwise
They are the same in the sense that they actually represent a constant change between the coordinates of the points in the relationship we are considering.
They are different in the sense that while one represents a positive change, whereby both axes move in the same direction ( rise at same rate, fall at same rate) , the second represent a relationship in which they move in opposite directions. While one falls, the other rises and while the other rises, the second one falls which indicates an opposing movement type between the two
Step-by-step explanation:
f(g(10))
This is called a composite function. It's when you plug one function into another.
First, find g(10):
g(x) = √(x-9)
g(10) = √(10-9)
g(10) = √1
g(10) = 1
Then plug that into f(x):
f(x) = -9x - 9
f(g(10)) = -9 g(10) - 9
f(g(10)) = -9 (1) - 9
f(g(10)) = -9 - 9
f(g(10)) = -18
Answer:
12
Step-by-step explanation:
(×-8)5=20
(5×-40)=20
5×(-40+40)=(20+40)
5×=60
5×÷5=60÷5
×=12
The roots of the equation is x = 4.56 OR x = 0.44
<h3>Quadratic equation</h3>
From the question, we are to determine the roots of the given equation
The given equation is
x² -5x +2 = 0
Using the formula method,
In the given equation,
a = 1, b = -5, c = 2
Putting the values into the formula,
OR 
OR 
OR 
x = 4.56 OR x = 0.44
Hence, the roots of the equation is x = 4.56 OR x = 0.44
Learn more on Quadratic equation here: brainly.com/question/8649555
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Answer: ![\frac{2x\sqrt[4]{y^{2}}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5Csqrt%5B4%5D%7By%5E%7B2%7D%7D%7D%7B3%7D)
Step-by-step explanation:
![\sqrt[4]{\frac{16}[81}} \sqrt[4]{\frac{x^{11}y^{8}}{x^{7}y^{6}}}\\\\=\frac{2}{3} \sqrt[4]{x^{4}y^{2}}\\\\=\frac{2x\sqrt[4]{y^{2}}}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B16%7D%5B81%7D%7D%20%5Csqrt%5B4%5D%7B%5Cfrac%7Bx%5E%7B11%7Dy%5E%7B8%7D%7D%7Bx%5E%7B7%7Dy%5E%7B6%7D%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%5B4%5D%7Bx%5E%7B4%7Dy%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B2x%5Csqrt%5B4%5D%7By%5E%7B2%7D%7D%7D%7B3%7D)
