B (x + 2)(x – 5)(x + 3)
C (x – 2)(x + 5)
D (x + 2)(x – 5
If f(-5)=0, then x+5 is first factor of given polynomial.
1. Divide polynomial by x+5:
.
2. Factor the trinomial :
.
3. Then
.
Answer: correct choice is A.
The factors of the function f(x) = x³ - 19x + 30 are (x + 5)(x - 2)(x - 3).
Option A is the correct answer.
We have,
To determine the factors of the function f(x) = x³ - 19x + 30 using the RemainderTheorem, we need to find the values of x that make the function equal to zero.
Given that f(-5) = 0, we know that (x + 5) is a factor of the function.
Using syntheticdivision, we can divide f(x) by (x + 5):
-5 | 1 0 -19 30
| -5 25 -30
-----------------------
1 -5 6 0
The result is a remainder of zero, indicating that (x + 5) is a factor.
Now we need to factorize the remaining quadratic expression:
1x² - 5x + 6.
This quadraticexpression factors as (x - 2)(x - 3).
Therefore,
The factors of the function f(x) = x³ - 19x + 30 are (x + 5)(x - 2)(x - 3).
Learn more about functions here:
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a person in the United States at birth is about 29,200 days. Estimate the total amount of
air a person born in the United States breathes over a lifetime.
Answer:
2.53×10^8 liters
Step-by-step explanation:
(8.65×10^3 L/da)(0.292×10^5 da) ≈ 2.53×10^8 L
The total amount of air a person born in the United States breathes over a lifetime is estimated to be 2.52 x 10^8 liters. This is calculated by multiplying the daily air intake (8.64 x 10^3 liters) with the average life expectancy in days (29,200 days).
To estimate the total amount of air a person born in the United States breathes over a lifetime, we can simply multiply the amount of air breathed daily by the expected length of life in days. Here's how it works:
So, 8.64 x 10^3 liters/day x 29,200 days = 2.52 x 10^8 liters.
Therefore, a person born in the United States breathes an estimated 2.52 x 10^8 liters of air over a lifetime.
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Answer:
3.56X10^-6
Step-by-step explanation:
In converting numbers to scientific notation, simply move the decimal point of the number until the numerical coefficient is greater than 1 but less than 10. Be sure to take note of the following:
1. The numerical coefficient.
2. Number of times we move the decimal point. It will be the exponent with the base of 10.
3. The direction we take in moving the decimal point. If the direction is to the right, take the negative sign for the exponent. If the direction is to the left, take the positive sign for the exponent.
Here, we move the decimal point of 0.00000356 to the right 6 times. So, we have now 3.56X10^-6.
Thank you!!
What is the solution set for 4(50) + 3r = 365 given the replacement set {52, 53, 54, 55}?
A.
52
B.
53
C.
54
D.
55
Answer:
55...
Step-by-step explanation:
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Sorry for answering super late....