Answer:
So it looks like the given zeros are 2i and -3. We have to work backwards.
x = -3 and x = 2i
For -3, we know that out factored form before would have been x + 3
For 2i, that means we took the square root of negative number because it is imaginary. So that means out factored for x2 + 4
So if we put these together:
(x2 + 4)(x + 3) = x3 + 3x2 + 4x + 12
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Step-by-step explanation:
Answer:
Step-by-step explanation:
Given polynomial is,
x - 1 + 2x³ - 3x⁴ + 5x⁵
2.1) Number of terms in the given polynomial = 5
2.2) Degree of polynomial = Highest exponent of polynomial = 5
2.3) Constant term of the given polynomial = 1
2.4) Polynomial in descending order,
5x⁵ - 3x⁴ + 2x³ + x - 1
2.5) Value of polynomial at x = -1
5(-1)⁵ - 3(-1)⁴ + 2(-1)³ + (-1) - 1 = -5 - 3 - 2 - 1 - 1
= -12
Answer:
The y-intercept of the line is the point (0,-41)
Step-by-step explanation:
we have the points
(-36,-117),(-27,-98) and (-18,-79)
step 1
Find the slope of the linear equation
The formula to calculate the slope between two points is equal to
take the points
(-27,-98) and (-18,-79)
substitute the values
step 2
Find the equation of the line in point slope form
we have
substitute
----> equation in point slope form
step 3
Convert the equation in slope intercept form
where
m is the slope
b is the y-coordinate of the y-intercept
isolate the variable y
therefore
The y-intercept of the line is the point (0,-41)
Answer:
3 feet by 7 feet
Step-by-step explanation:
perimeter = 20 feet
area = 21 feet²
If the desk is a rectangle:
perimeter = 2l + 2w = 2 (l+w) = 20
2 (l+w) = 20 , divide both sides by 2
l+w = 10
area = l · w = 21
What numbers we know that have sum as 10 and their product as 21?
l + w = 10
l · w = 21
factors of 21 are 1,3,7
3+7 = 10
3 ·7 = 21
The dimensions of the desk could be 3 feet by 7 feet.
Where is the question?
d=vt
d=10(24/60)=4 miles
It is 4 miles to the gift store.
4mi(hr/30mi)(60min/hr)=8 min
It took him 8 minutes on the return trip, for a round-trip time of 32 minutes.
His average speed was (8mi/32min)(60min/hr)=15mph for the whole trip.
