The width of a rectangle is 13 inches. the width is 5 inches more than twice the length, x
1 answer:
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Answer:
Step-by-step explanation:
<u>Equation of a Polynomial</u>
Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:
Where a is the leading coefficient.
We know the three roots of the polynomial -6, -3, and 1, thus:
Since the y-intercept of the polynomial is y=90 when x=0:
90=a(0+6)(0+3)(0-1)
90=a(6)(3)(-1)=-18a
Thus
a = 90/(-18) = -5
The polynomial is:
We must write it in standard form, so we have to multiply all of the factors as follows:
we know that
If two lines are perpendicular, then the product o their slopes is equal to minus one
so
Step 1
<u>Find the slope of the given line</u>
we have
------->
This line is parallel to the y-axis
so
the perpendicular will be parallel to the x-axis
Step 2
The equation of the line perpendicular to the given line is the y-coordinate of the given point
Point
the equation is
therefore
<u>the answer is</u>
see the attached figure to better understand the problem
Answer:
0.216
Step-by-step explanation:
Given that a certain new type of business succeeds 60% of the time.
3 such businesses are tested for success.
Since these three businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). we can say X no of successful businesses is Binomial
with p = 0.6 and n =3
Required probability
=The probability that all 3 businesses succeed is:
=