We are asked in the problem to determine the inverse of the relation y = 3x + 12. first step is to express the equation in terms of y, that is y -12 = 3x, then exchange the places of x and y, that is x - 12 = 3y. This is the final answer
Answer:
$0.22/inch
Step-by-step explanation:
6 ft = 72 inches
15.84/72 =0.22
Answer:
was shifted 5 unit right side then stretched vertically by the factor 100, Shifted 5 unit right side then stretched vertically by the factor 100
Step-by-step explanation:
Here, parent function,
Transformed function,
Since, if a function f(x) gives cf(x), where c is any number,
Then the function was vertically stretched by factor c,
While, the function gives f(x-c),
Then the function was shifted c unit right.
Hence, the graph of was shifted 5 unit right side then stretched vertically by the factor 100 to create the graph of
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,
![x =\frac{-b \pm \sqrt{b^{2}-4ac } }{2a}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E%7B2%7D-4ac%20%7D%20%7D%7B2a%7D)
In the given equation,
a = 1, b = -5, c = 2
Putting the values into the formula,
![x =\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(2) } }{2(1)}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B-%28-5%29%20%5Cpm%20%5Csqrt%7B%28-5%29%5E%7B2%7D-4%281%29%282%29%20%7D%20%7D%7B2%281%29%7D)
![x =\frac{5 \pm \sqrt{25-8} }{2}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B5%20%5Cpm%20%5Csqrt%7B25-8%7D%20%7D%7B2%7D)
![x =\frac{5 \pm \sqrt{17} }{2}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B5%20%5Cpm%20%5Csqrt%7B17%7D%20%7D%7B2%7D)
OR ![x =\frac{5 - \sqrt{17} }{2}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B5%20-%20%5Csqrt%7B17%7D%20%7D%7B2%7D)
OR ![x =\frac{5 - 4.12}{2}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B5%20-%204.12%7D%7B2%7D)
OR ![x =\frac{0.88}{2}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B0.88%7D%7B2%7D)
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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