Answer:
21 students
Step-by-step explanation:
90 x .10 = 9
80 x .15 = 12
9 + 12 = 21 students
(4x^5-15x^3-10x^2)-(2x^5-5x^3-2x^2)
So, the first thing we will do is add like terms. But before that, lets get rid of both parenthesis. We'll just get rid of the first pair, and for the second pair, we will multiple everything in the second parenthesis by -1
4x^5-15x^3-10x^2-2x^5+5x^3+2x^2
Now, we will add like terms.
2x^5-10x^3-8x^2
Now, there's a common factor that all of these terms share; it's 2x^2. 2x^5 can be divided by 2, as well as -10x^3 and -8x^2 (these are the coefficients, number found in front of the variable.) So, we'll distribute 2
2x^2(x^3-5x-4) (we take the 2x^2 out by dividing all terms by 2x^2)
So, our answer would be
2x^2
Answer:
Step-by-step explanation:
the bar above 36 means that the digits 36 are being repeated
we require 2 equations with the repeating digits placed after the decimal point.
let x = 0.13636.. ( multiply both sides by 10 and 1000 )
10x = 1.3636... (1)
1000x = 136.3636... (2)
subtract (1) from (2) thus eliminating the repeating digits
990x = 135 ( divide both sides by 990 )
x = 
= ← in simplest form
2cos²x+cos x-1=0
cos x=t
2t²+t-1=0
t=[-1⁺₋√(-1+8)]/2=(-1⁺₋3)/4
We have two possible set solutions:
First set solutions.
t₁=(-1-3)/2=-4/4=-1
cos x=-1 ⇒x=cos⁻¹ (-1)=π +2kπ or 180º+360ºk (k=(...-2,-1,0,1,2...)
Second set solutions:
t₂=(-1+3)/4=2/4=1/2
cos x=1/2 ⇒ x=cos⁻¹ 1/2=π/3+2kπ U 5π/3+ 2kπ or
60º+360ºK U 300º+360ºK (k=...-2,-1,0,1,2,...)
solutions: first set solutions U second set solutions:
Answer in radians : π +2kπ U π/3+2kπ U 5π/3+ 2kπ (k=...-1,0,1,...)
Answer is degrees: 180º+360ºk U 60º+360ºK U 300º+360ºK (k=...-2,-1,0,1,2,...)
Answer: 15/24 + 6/24 = 21/24
Step-by-step explanation
when you put the new denominator (which is 28 on both fractions) you have to multiply the numerator by how many times it takes the denominator. example. 5/8 8 can go into 24, 3 times so u multiply
5 by 3 same with the other side just u multiply 3 by 2
