Answer:
it is 91
Step-by-step explanation:
We write the polynomial in its factored form first.
We have then:
(x + 2) * (x + 1) * (x-4) * (x-5)
We now rewrite the polynomial:
(x ^ 2 + x + 2x + 1) * (x ^ 2-5x-4x + 20)
(x ^ 2 + 3x + 1) * (x ^ 2-9x + 20)
x ^ 4 - 9x ^ 3 + 20x ^ 2 + 3x ^ 3 - 27x ^ 2 + 60x + x ^ 2 - 9x + 20
We now add terms of the same degree:
x ^ 4 + (-9 + 3) x ^ 3 + (20-27 + 1) x ^ 2 + (60-9) x + (20)
x ^ 4 + (-6) x ^ 3 + (-6) x ^ 2 + (21) x + (20)
x ^ 4 - 6x ^ 3 - 6x ^ 2 + 21x + 20
Answer:
The polynomial sought is:
x ^ 4 - 6x ^ 3 - 6x ^ 2 + 21x + 20
Answer:
$5.40
Step-by-step explanation:
The word <em>percent</em> literally means "for each 100," and we can use this vocab fact to help us answer a question like "what is 1.8 <em>percent </em>of $300?" We have 1.8 <em>for each 100</em> in 300, and since there are 3 hundreds in 300, that means we're going to be counting 3 1.8s, which gets us 1.8 × 3 = 5.4. Since our unit is <em>dollars</em> this comes out to $5.40.
Answer: The missing number in the sequence is 
Step-by-step explanation:
Since we have given that
First term = a= 
Common difference = d is given by
Therefore, it forms an arithmetic sequence.
Since, 
is missing,
So,
Hence, the missing number in the sequence is
Answer:
The perimeter of an equilateral triangle that has a height of 24m is
Option C : 48 square root 3
Step-by-step explanation:
Given:
Height of the triangle =24 m
To Find:
The perimeter of an equilateral triangle = ?
Solution:
Perimeter of the equilateral triangle = 3a
where a is the side of the triangle
Here the height is given as 24 m
Then from the figure
Now
The perimeter is
=> 3x
=>
-------------------------(1)
Now we know that 3 = 
--------------------(2)
Substituting (2) in (1)
=>
=>
