Answer:
{12,15}
Step-by-step explanation:
Given the function f(x) = x+5, if the range of the function is {7,9}, the domain of the function is derived by simply finding the value of the function at each end point.
At endpoint x = 7,
f(7) = 7+5
f(7) = 12
At endpoint x = 9
f(9) = 9+5
f(9) = 14.
The function domain is therefore at {12,14}
Answer:
Step-by-step explanation:
She has 1 in 11 chances of getting the purple one
One of her choices is gone after she takes out the purple one. She has a 1 in 10 chance of taking out the gray one.
1/11 * 1/10 = 1/110
<h3>
Answer: x(x+1)(5x+9) </h3>
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Work Shown:
5x^3 + 14x^2 + 9x
x( 5x^2 + 14x + 9 )
To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.
A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula
Then use those two solutions to find the factorization
x = -1 or x = -9/5
x+1 = 0 or 5x = -9
x+1 = 0 or 5x+9 = 0
(x+1)(5x+9) = 0
So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)
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Overall,
5x^3 + 14x^2 + 9x
factors to
x(x+1)(5x+9)