Answer:
AVA
Step-by-step explanation:
9514 1404 393
Answer:
(c) P(x) = x^4 +3x^3 -10x^2 -30x
Step-by-step explanation:
If the polynomial has integer coefficients, its complex or radical roots come in conjugate pairs. That is, -√10 is also a root. The four roots mean the polynomial has degree 4. That eliminates all but answer choice C.
Each root 'a' gives rise to a factor (x -a), so the factored polynomial is ...
P(x) = (x -0)(x -(-3))(x -√10)(x -(-√10))
P(x) = x(x +3)(x² -10) = x(x³ +3x² -10x -10)
P(x) = x^4 +3x^3 -10x^2 -10x
A=22/10
A=integral(a,b) [f(x)-g(x)]dx
Since the function is even (the function is mirrored over the y axis) we can evaluate the integral from 0 to 1 and then multiply our answer by 2 since we have the same area on each side of the y axis.
We get A=2*int.(0, 1)[(x^2)-(-2x^4)]dx
Now we can integrate by term.
2*[int.(0, 1)[x^2]dx+int(0, 1)[2x^4]dx]
Now factor out constants.
2*[int(0,1)[x^2]dx+2int(0,1)[x^4]dx]
Now integrate.
2*[(x^3/3)|(0,1) + 2*(x^5/5)|(0,1)]
Now solve.
2*[(1/3)+2*(1/5)]
=22/10
Hope you can decipher what I wrote!
<span><span>y9)
((9•(x-4))•—————————————)•y(-2)
-(3)(-3)x(-3)
</span><span>Simplify —-(3)(-3)x(-3) </span></span><span><span>((9 • (x-4)) • -27x3y9) • y(-2)
</span></span><span>(32x(-4) • -27x3y9) • y(-2)
</span> x(-4) multiplied by x3 = x((-4) + 3) = x(-1) = 1/x1 = 1/x 32 multiplied by 33 = 3(2 + 3) = 35<span> -35x(-1)y9 • y(-2) </span>y9 multiplied by y(-2) = y(9 + (-2)) = y7<span>
</span>Final result :<span> -35x(-1)y7
</span>I believe this is the answer :) ( pls tell me if I am wrong and have a great day!)
The value of the composite function f(g(x)) is 5x + 2
<h3>Composite functions</h3>
Composite functions are functions inside another function. Given the following functions:
f(x) = 5√x+1 - 2
g(x) = x² - 1
Determine the composite function f(g(x))
f(g(x)) = f(x² - 1)
f(x² - 1) = 5√x² - 1+1 - 2
f(x² - 1) = 5√x² + 2
f(x² - 1) = 5x + 2
Hence the value of the composite function f(g(x)) is 5x + 2
Learn more on composite function here: brainly.com/question/13502804
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