Answer:
(x+1)(x-1)(x+3)(x-3)
Step-by-step explanation:
x4-10x^2+9
Group expression so that the coefficients of the x^2 terms add up to +9.
= x^4 -9x^2 - x^2+9
match coefficients in both groups
= x^4 -9x^2 - (x^2-9)
factor each group
= x^2 (x^2-9) - 1(x^2-9)
now factor out the common factor (x^2-9)
= (x^2-1)(x^2-9)
Finally, factor each quadratic factor
= (x+1)(x-1)(x+3)(x-3)
Answer:
f(-6) = -2
Step-by-step explanation:
plug in k value (-6)
f(-6) = -6/2 + 1
theres two ways to solve for this
one way:
convert the whole number 1 to an improper fraction
f(-6) = -6/2 + 2/2
combine like terms
f(-6) = -4/2
divide -4 by 2
f(-6) = -2
second way:
divide -6 by 2
f(-6) = -3 + 1
combine like terms
f(-6) = -2
either way you get the same answer
use whichever is easiest for you
Answer:
a₁ = -28
aₙ = a₁ + 12 (n-1)
Step-by-step explanation:
a₁ = -28
a₂ = -28 + 12 (2 - 1) = -16
a₃ = -28 + 12 (3 - 1) = -4
a₄ = -28 + 12 (4 - 1) = 8
aₙ = a₁ + 12 (n-1)
Answer: y => 12
y is greater than or equal to 12
Step-by-step explanation:
So they give you the function of y = 2x + 4 and the domain of all real numbers is greater than or equal to 4.
In simple term, the domain is x => 4, x is greater than or equal to 4.
Using that we can substitute the x in the function by 4.
y = 2(4) + 4
y = 8 + 4
Which gave us the answer of 12.
Since the domain can be anything greater than 4 or 4. We can expect the
same for the range.
Then the range will be 12 or greater than 12. For example, 13, 14, 15, 16...
Ex. y = 2(5) + 4
y = 10 + 4
y = 14
Ex. y = 2(4.5) + 4
y = 9 + 4
y = 13
Answer:
7.8
Step-by-step explanation:
We can use pythagorean theorem 
where a and b are sides of a right triangle and c is the hypotenuse.
.
Rounded to the nearest tenth, x = 7.8
