Answer:
x(x - 5)(x - 7)
Step-by-step explanation:
Given
x³ - 12x² + 35x ← factor out common factor of x from each term
= x(x² - 12x + 35)
To factor the quadratic
Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)
The factors are - 5 and - 7, since
- 5 × - 7 = 35 and - 5 - 7 = - 12, thus
x² - 12x + 35 = (x - 5)(x - 7) and
x³ - 12x² + 35x = x(x - 5)(x - 7) ← in factored form
An expression that is equal to that question is 5/3 as a fraction or the solution times 3.
Answer:
The answer to your question is speed = 9 m/s
Step-by-step explanation:
Data
Winner Last runner
time = 45 s time = 48 s
speed = 9.6 m/s
Process
1) Calculate the distance they ran using the data of the winner
speed = distance / time
-Solve for distance
distance = speed x time
-Substitution
distance = (9.6)(45)
-Result
distance = 432 m
2.- Calculate the speed of the last runner
-Substitution
speed = 432/48
-Result
speed = 9 m/s
Answer:
Given:
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Answer:
y= 6971 -7 x OR y = -7x + 6971
Step-by-step explanation:
the 6971 is the original number you started with, you are now decreasing by 7, so you use the value of -7. The x is the number of years that pass by, so the variable x affects the number 7 because it says decreases by 7 per year. The x does not go with 6971 as that number doesn't get directly affected.
