Answer:
1
Step-by-step explanation:
i^12
We use the rule of 4
Take the exponent and divide by 4
12/4 = 3 r0
Then look at the remainder, That is the power we use
i^0 =1
i^1 =i
i^2 = -1
I^3 = -i
It repeats
i^0 =1
Answer: w = -3/2u + 2
Step-by-step explanation: The independent variable, normally x, is not impacted by other variables. The problem is asking you to put the equation in w= form. W is the dependent variable while u is the independent variable (we’re used to seeing y= form, where x is independent and y is dependent. This is the same thing with different letters).
-12u + 13 = 8w - 3
-12u + 16 = 8w (add 3 to both sides)
(-12u + 16)/8 = w (divide both sides by 8)
-12/8u + 16/8 = w
-3/2u + 2 = w (simplify)
Answer:
(4 x + 9) (16 x^2 - 36 x + 81)
Step-by-step explanation:
Factor the following:
64 x^3 + 729
64 x^3 + 729 = (4 x)^3 + 9^3:
(4 x)^3 + 9^3
Factor the sum of two cubes. (4 x)^3 + 9^3 = (4 x + 9) ((4 x)^2 - (4 x) 9 + 9^2):
(4 x + 9) ((4 x)^2 - 4 9 x + 9^2)
4×9 = 36:
(4 x + 9) ((4 x)^2 - 36 x + 9^2)
Multiply each exponent in 4 x by 2:
(4 x + 9) (4^2 x^2 - 36 x + 9^2)
4^2 = 16:
(4 x + 9) (16 x^2 - 36 x + 9^2)
9^2 = 81:
Answer: (4 x + 9) (16 x^2 - 36 x + 81)
Answer:
Step-by-step explanation:
Y (1,4)
Answer:
+1 is the potential root of the function.
Step-by-step explanation:
Given;
p(x) = x⁴ + 22x⁴ – 16x - 12
A potential root of the function is zero of the function. That is a potential root will reduce the function to zero or close to zero.
To determine this, we test each of the root given;
p(6) = (6)⁴ + 22(6)⁴ - 16(6) - 12 = 29700
p(3) = (3)⁴ + 22(3)⁴ - 16(3) - 12 = 1803
p(1) = (1)⁴ + 22(1)⁴ - 16(1) - 12 = -5
p(8) = (8)⁴ + 22(8)⁴ - 16(8) - 12 = 94068
The only number that reduces the function close to zero is +1, then +1 is the potential root of the function.
