The function
is a quadratic function due to the highest exponent being 2.
Given functions are:
![u(x)=-x+3x^{2} -8](https://tex.z-dn.net/?f=u%28x%29%3D-x%2B3x%5E%7B2%7D%20-8)
![v(x)=2x^{2} +8x^3+9x](https://tex.z-dn.net/?f=v%28x%29%3D2x%5E%7B2%7D%20%2B8x%5E3%2B9x)
![y(x)=x^{2} +3x^5+4](https://tex.z-dn.net/?f=y%28x%29%3Dx%5E%7B2%7D%20%2B3x%5E5%2B4)
![z(x) =7x^{2} +2x^3-3](https://tex.z-dn.net/?f=z%28x%29%20%3D7x%5E%7B2%7D%20%2B2x%5E3-3)
<h3>What is a quadratic function?</h3>
A function of the form
with
is called a quadratic function means the highest exponent of polynomial should be 2.
Let us check one by one.
![u(x)=-x+3x^{2} -8](https://tex.z-dn.net/?f=u%28x%29%3D-x%2B3x%5E%7B2%7D%20-8)
Highest exponent =2
The function is also of form
so u(x) is a quadratic function.
The functions v(x), y(x), and z(x) are having highest exponents as 3,5, and 3 respectively so they are not quadratic functions.
Hence, the function
is a quadratic function due to the highest exponent being 2.
To get more about quadratic functions visit:
brainly.com/question/1214333
Answer:
4²¹/5⁶ or 4398046511104/15625
Step-by-step explanation:
Remember, when raising a term with an exponent to some power, you must multiply the powers.
![(\frac{4^{7} }{5^{2} })^{3} \\\\ = (\frac{(4^{7})^{3} }{(5^{2})^{3} }) \\\\= \frac{4^{7 * 3} }{5^{2* 3} } \\\\= \frac{4^{21} }{5^{6} } \\\\=\frac{4398046511104}{15625}](https://tex.z-dn.net/?f=%28%5Cfrac%7B4%5E%7B7%7D%20%7D%7B5%5E%7B2%7D%20%7D%29%5E%7B3%7D%20%5C%5C%5C%5C%20%3D%20%28%5Cfrac%7B%284%5E%7B7%7D%29%5E%7B3%7D%20%7D%7B%285%5E%7B2%7D%29%5E%7B3%7D%20%7D%29%20%5C%5C%5C%5C%3D%20%5Cfrac%7B4%5E%7B7%20%2A%203%7D%20%7D%7B5%5E%7B2%2A%203%7D%20%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B4%5E%7B21%7D%20%7D%7B5%5E%7B6%7D%20%7D%20%5C%5C%5C%5C%3D%5Cfrac%7B4398046511104%7D%7B15625%7D)
<h3>
Answer: Choice A</h3>
![x^2\left(\sqrt[4]{x^2}\right)](https://tex.z-dn.net/?f=x%5E2%5Cleft%28%5Csqrt%5B4%5D%7Bx%5E2%7D%5Cright%29)
=====================================================
Explanation:
The fourth root of x is the same as x^(1/4)
I.e,
![\sqrt[4]{x} = x^{1/4}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%7D%20%3D%20x%5E%7B1%2F4%7D)
The same applies to x^10 as well
![\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B10%7D%7D%20%3D%20%5Cleft%28x%5E%7B10%7D%5Cright%29%5E%7B1%2F4%7D)
Multiply the exponents 10 and 1/4 to get 10/4
![\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4} = x^{10*1/4} = x^{10/4}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B10%7D%7D%20%3D%20%5Cleft%28x%5E%7B10%7D%5Cright%29%5E%7B1%2F4%7D%20%3D%20x%5E%7B10%2A1%2F4%7D%20%3D%20x%5E%7B10%2F4%7D)
![\sqrt[4]{x^{10}} = x^{10/4}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B10%7D%7D%20%3D%20x%5E%7B10%2F4%7D)
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If we have an expression in the form x^(m/n), with m > n, then we can simplify it into an equivalent form as shown below
![x^{m/n} = x^a\sqrt[n]{x^b}](https://tex.z-dn.net/?f=x%5E%7Bm%2Fn%7D%20%3D%20x%5Ea%5Csqrt%5Bn%5D%7Bx%5Eb%7D)
The 'a' and 'b' are found through dividing m/n
m/n = a remainder b
'a' is the quotient, b is the remainder
-----------------------
The general formula can easily be confusing, so let's replace m and n with the proper numbers. In this case, m = 10 and n = 4
m/n = 10/4 = 2 remainder 2
We have a = 2 and b = 2
So
![x^{m/n} = x^a\sqrt[n]{x^b}](https://tex.z-dn.net/?f=x%5E%7Bm%2Fn%7D%20%3D%20x%5Ea%5Csqrt%5Bn%5D%7Bx%5Eb%7D)
turns into
![x^{10/4} = x^2\sqrt[4]{x^2}](https://tex.z-dn.net/?f=x%5E%7B10%2F4%7D%20%3D%20x%5E2%5Csqrt%5B4%5D%7Bx%5E2%7D)
which means
![\sqrt[4]{x^{10}} = {x^2} \sqrt[4]{x^2}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B10%7D%7D%20%3D%20%7Bx%5E2%7D%20%5Csqrt%5B4%5D%7Bx%5E2%7D)
Answer:
2,5
Step-by-step explanation:
2,5 is just one of the many solutions to this problem. you can just take a random number for x, for example 2. your equation will look like this 3(2)-y=1. now you just solve for y. 3x2=6. 6-1=5. so y=5.
Answer:
FALSE
Step-by-step explanation:
If p could equal 10, 20, 30 or 40 lets put each of them in the expression 7.4p<=74
1. 7.4 times 10 equals 74 so that work✅
2. 7.4 times 20 equals 148 so that does not work X
3. 7.4 times 30 equals 222 so that does not work X
4. 7.4 times 40 equals 296 so that does not work X