One factor of f(x) = x3 − 14x2 + 61x − 84 is (x − 7). What are the zeros of the function?
2 answers:
Answer:
7, 4, 3
Step-by-step explanation:
Using Descartes' rule of signs, you can determine there are zero negative real roots. The above answer choice is the only one with no negative zeros listed.
_____
The count of negative real roots is based on the number of sign changes when the signs of odd-degree terms are reversed. Doing that gives the signs of the terms as - - - -, so there are no changes. That means there are no negative real roots.
A graphing calculator confirms this choice.
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Answer:
He should spend 3 minutes or less on each scale
Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal
Step-by-step explanation:
Let
t ------> is the number of minutes he spends on each scale
Remember that the phrase "at least" is equal to "greater than or equal"
so
The inequality that represent this scenario is
solve for t
Multiply by -1 both sides
Divide by 5 both sides
Sven is incorrect
He should spend 3 minutes or less on each scale
Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal
Further explanation:
We have to find the equation of the line first to graph the line.
The general form of slope-intercept form of equation of line is:
Given
Putting the value of slope in the equation
To find the value of b, putting the point (-3,5) in equation
Putting the values of b and m
The graph is made by using online graphing tool Desmos.
Keywords: Equation of line, graph of line
Learn more about graphs at:
#LearnwithBrainly
Answer:
The correct option is;
d. 24.2 to 25.6
Step-by-step explanation:
Here we have a sample with unknown population standard deviation, we therefore apply the student t distribution at 64 - 1 degrees of freedom
Therefore, we have
Where:
= Mean = 25
σ = Standard deviation = 2
n = Sample size = 64
t = T value at 98% =
Which gives
That is the value is from
24.40325 to 25.59675 which gives,by rounding to one decimal place, is
24.4 to 25.6.