Answer: 8.1
Step-by-step explanation: How you convert a mixed number into a decimal is taking the whole number (not the fraction part) and putting it in front of the decimal, then you get the fraction's denominator to 10 multiply if needed, then you take the fractions top number and put it after the decimal, Now your converted!
If you need any further help or instruction let me know!
The phrase that could be represented by the expansion would be a binomial.
The answer would be A. There is a phase shift to the left. Because you are adding pi/6.
Answer:
-4
Step-by-step explanation:
x³ + cx + 4 divided by x + 2 has a remainder of 4, so:
(x³ + cx + 4) / (x + 2) = ax² + bx + d + 4 / (x + 2)
Multiply both sides by x + 2:
x³ + cx + 4 = (ax² + bx + d) (x + 2) + 4
Distribute:
x³ + cx + 4 = ax²(x + 2) + bx(x + 2) + d(x + 2) + 4
x³ + cx + 4 = ax³ + 2ax² + bx² + 2bx + dx + 2d + 4
x³ + cx + 4 = ax³ + (2a + b)x² + (2b + d)x + 2d + 4
Match the coefficients.
a = 1
2a + b = 0
2b + d = c
2d + 4 = 4
Solving, a = 1, b = -2, and d = 0. So c = -4.
We can also solve this using long division (see picture).
Answer:
3
Step-by-step explanation:
4(1/2+3/4)+(-2) Distribute.
2+3+(-2) Simplify.
2+3-2
5-2
3
Hope this helps!! Have an amazing day (。・∀・)ノ゙