Answer:
2.48 seconds
Step-by-step explanation:
See attached
Answer:
Lucas groups the polynomial (12x^3 + 8x) + (–6x^2 – 4) to factor → 2 (2 x - 1) (3 x^2 + 2)
Step-by-step explanation:
Factor the following:
12 x^3 - 6 x^2 + 8 x - 4
Hint: | Factor out the greatest common divisor of the coefficients of 12 x^3 - 6 x^2 + 8 x - 4.
Factor 2 out of 12 x^3 - 6 x^2 + 8 x - 4:
2 (6 x^3 - 3 x^2 + 4 x - 2)
Hint: | Factor pairs of terms in 6 x^3 - 3 x^2 + 4 x - 2 by grouping.
Factor terms by grouping. 6 x^3 - 3 x^2 + 4 x - 2 = (6 x^3 - 3 x^2) + (4 x - 2) = 3 x^2 (2 x - 1) + 2 (2 x - 1):
2 3 x^2 (2 x - 1) + 2 (2 x - 1)
Hint: | Factor common terms from 3 x^2 (2 x - 1) + 2 (2 x - 1).
Factor 2 x - 1 from 3 x^2 (2 x - 1) + 2 (2 x - 1):
Answer: 2 (2 x - 1) (3 x^2 + 2)
Answer: 1. [-8, 8]
2. [-27, 27]
Step-by-step explanation:
1. |X|≤8
x≤8 or x>=-8
-8<=x<=8 ==> [-8, 8]
2. |X|≤27
x≤27 or x>=-27
-27<=x<=27 ==> [-27, 27]
Answer:
its c
Step-by-step explanation:
Our denominators are 40 and 4. What we need to do is find the lowest common denominator of the two numbers. This is the smallest number that can be divided by both 40 and 4. In this case, the lowest common denominator is 40.
If we multiply the first denominator (40) by 1 we will get 40. If we multiply the second denominator (4) by 10 we will also get 40. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:
<u>33 x 1
</u>
40 x 1
<u>3 x 10
</u>
4 x 10
This is what 33/40 and 3/4 looks like with the same denominator:
<u>33
</u>
40
&
<u>30
</u>
40
Now that these fractions have been converted to have the same denominator, we can clearly see by looking at the numerators that 33 is greater than 30 which also means that 33/40 is greater than 3/4.
Step-by-step explanation:
x¹²-3x6-x⁴+2x⁴-6x³+2x²-3x⁴+9x²-3x
x¹²-3x6-2x⁴-6x³+11x²-3x
