X² = 18 ; (3√2)² = 3² x 2 = 9 x 2 = 18
Answer:
x^2-8x-9
x
2
−8x−9
Step-by-step explanation:
You have to factor the expression in order to get your answer
Do this by expanding out the expression: (x-10)(x-10)
Then factor by multiplying each of the components! Use the FOIL acronym to help you. FOIL stands for First, Outer, Inner, Last. Meaning multiply the first numbers of the expressions together, then the outers, then the inner two numbers, then the last two numbers of the expression.
Multiply x and x to get , multiply x and -10 to get -10x, multiply -10 and x to get -10x, multiply -10 and -10 to get 100. Add them all together: . Then combine like terms
Answer:
This, polynomial has order 7.
Step-by-step explanation:
Given the polynomial
P(x) = 3 – 2x2 + 5x5 – 7x7
Order for any polynomial is highest exponential value for variables . The exponent for polynomial is also called as degree.
Hence in terms of degree, the term in polynomial which has the highest degree . That degree is the order of the polynomial.
For example ,
in
here we see that variable x has highest power of 9. Thus, order of the given equation is 9.
Similarly for the polynomial given we see that
in the polynomial
x has three power 2, 5 and 7 .
As 7 is the highest power of P(x) = 3 - 2x^2+ 5x^5 - 7x^7
This, polynomial has order 7.
Answer: Infinitely many solutions
The solutions are of the form (x,y) = (x,3x+5) for any real number x.
========================================================
Explanation:
Plug the first equation into the second. We'll replace y with 3x+5
12x-4y = -20
12x-4( y ) = -20
12x-4(3x+5) = -20 .... y replaced with 3x+5
12x-12x-20 = -20
0x-20 = -20
0-20 = -20
-20 = -20
We end up with a true equation no matter what x is.
Therefore, this system has <u>infinitely many solutions</u>.
Each solution is of the form (x,y) = (x,3x+5) because y = 3x+5.