Answer:
x² -7x -18
Step-by-step explanation:
In algebra, a binomial consists solely of a sum or subtraction of two monomials.
To solve the multiplication of two binomials we have to multiply term by term and then simplify common terms.
(x + 2)(x - 9) = x(x) + x(-9) +2(x) + 2(-9) = x² -9x + 2x -18 = x² -7x - 18
Answer:
Step-by-step explanation:
2x²+4x -16 = 2(x²+2x-8); factor 2
= 2(x+4)(x-2) ;factor the quadratic equation
4x²-16 = 4(x²-4) ; factor 4
=4(x²- 2²) ; rewrite 4 as 2²
= 4(x-2)(x+2); now use the difference of two squares a²-b²=(a-b)(a+b)
so now we have:
; simplify (x-2) from numerator and denominator
and 2/4 as 1/2
Lines with no solution are parallel lines....parallel lines will contain the same slope, but different y intercepts.
y = -2x + 3/2....slope (m) = -2 and y int (b) = 3/2
so the line we need will have a slope of -2, but can have any y int EXCEPT 3/2.
m = -2, and b = -1/3 is parallel, no solution
m = -2 and b = -2/3...parallel, no solution
\begin{gathered}\{\begin{array}{ccc}3x+5y=2&|\cdot(-3)\\9x+11y=14\end{array}\\\underline{+\{\begin{array}{ccc}-9x-15y=-6\\9x+11y=14\end{array}}\ \ |\text{add both sides of equations}\\.\ \ \ \ \ -4y=8\ \ \ |:(=4)\\.\ \ \ \ \ y=-2\\\\\text{substitute the value of y to the first equation}\\\\3x+5\cdot(-2)=2\\3x-10=2\ \ \ |+10\\3x=12\ \ \ |:3\\x=4\\\\Answer:\ x=4;\ y=-2\to(4;\ -2)\end{gathered}
{
3x+5y=2
9x+11y=14
∣⋅(−3)
−9x−15y=−6
9x+11y=14
add both sides of equations
. −4y=8 ∣:(=4)
. y=−2
substitute the value of y to the first equation
3x+5⋅(−2)=2
3x−10=2 ∣+10
3x=12 ∣:3
x=4
Answer: x=4; y=−2→(4; −2)
291.87 is rational since the last (decimal) numbers aren't repeating.
If it was repeating (291.877777...) it would be irrational.
