Answer:
f(x)= x^3-5x^2-23x-12
Step-by-step explanation:
Given:
function f(x) divided by x + 2, the quotient is x2 – 7x – 9 and the
remainder is 6
When a polynomial f(x) is divided by any another polynomial d(x) and there is q(x) and r then it can be written as:
f(x)= d(x)q(x) + r
Now putting values of d(x)= x+2, q(x)= x2 – 7x – 9 and r=6, we get
f(x)= (x+2)(x^2-7x-9)+6
f(x)= x^3 -7x^2-9x+2x^2-14x-18+6
= x^3-5x^2-23x-12 !
Answer:
it depends on how many females are there
Step-by-step explanation:
I need to know how many females are there
Answer:
2 wrongly solutions and 18 right solutions
Step-by-step explanation:
The computation is shown below:
= 20 (problems) × 10 (points)
= 200 points
And it received 176 points
So the difference is of
= 200 - 176
= 24
In the case of wrong solution, the points that are lost is
= 10 + 2
= 12
Now the solutions done wrongly is
= 24 ÷ 12
= 2
And, the solutions does rightly is
= 20 - 2
= 18
Answer: 120 students
Explanation:
Let x be the number of scopes
Let a be the number of student at school
1x = 5 students
But 5x = a
1x = 4 students
But the principal needs 6 additional scope so that all the students can use it.
=> (x + 6) = 4 students
=> 4(x + 6) = a
Thus,
5x = 4(x + 6)
5x = 4x + 24
5x - 4x = 24
x = 24
So, there are 24 scopes.
Plug x in both equation and compare:
5x = a
5(24) = a
120 = a
4(x + 6) = a
4(24 + 6) = a
4(30) = a
120 = a
Therefore, the students at the school are 120
Using the special angles sin 60° is also root 3 over 2
