How many Solutions/zeros does the polynomial function f(x) = 27" – 10x4 + 16x– 3 have?
1 answer:
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Answer:
The no. of traditional type birdhouses are 4 and the no. of lavish type birdhouses are 3.
Step-by-step explanation:
Let x be the no. of traditional type birdhouses
The more traditional type takes 4 pieces of wood and 2 hours to build.
One house requires wood = 4
x houses requires wood = 4x
One house requires time = 2 hours
x houses requires time = 2x
Let y be the no. of lavish type birdhouses
The more lavish type takes 10 pieces of wood and 7 hours to build.
One house requires wood = 10
y houses requires wood = 10y
One house requires time = 7 hours
y houses requires time = 7y
Now we are given that he has a total of 46 pieces of wood and 29 hours to work,
So, equations becomes :
Plot these equations on graph
---Blue line
---Green line
Refer the attached figure
The intersection point provides the solution
Intersection point : (4,3)
So, x = 4 and y = 3
Hence the no. of traditional type birdhouses are 4 and the no. of lavish type birdhouses are 3.
Answer:
Option D.75°
Step-by-step explanation:
we know that
The sum of the interior angles of a regular dodecagon is equal to
where
n is the number of sides
In this problem
n=12 sides
substitute
Find the measure of each interior angle
Divide the sum of the interior angles by the number of sides
The measure of the angle formed by the radius and the side of a regular dodecagon is half the measure of the interior angle
therefore