Answer:
A. 7:21 = 3:9
Step-by-step explanation:
7 is to 21 as 3 is to 9.
Replace the word to with colons and the word as with the equals sign
7:21 = 3:9
F(1) = 1^3 + 3(1)^1 - 3 - 1 = 1 + 3 - 3 - 1 = 0
so one zero is x = 1, and x-1 is a factor
dividing f(x) by x - 1 gives x^2 + 4x + 1
x = [-4 +/- sqrt (16 - 4)] / 2
x = -0.27, -3.73
zeroes are 1 , -0.27 and -3.73 Answer
Answer:
Below in bold.
Step-by-step explanation:
No repetition.
There are a total of 7 numbers.
For the number to be even it must end in 0, 2 or 8.
The other 3 numbers will be the number of permutations of 3 from the 6 other numbers.
Number of 4 digit numbers ending in 0
= 6P3 = 6! / 6-3!
= 120.
Now the number could also end in 2 or 8,
so there are 3*120 = 360 4-digit even numbers (no repetition).
With repetition.
There are 3 * 7^3 = 1029 with repetition.
Answer:
B
Step-by-step explanation:
You would need to convert the fractions to a denominator of 15 because it's the closest denominator for both.
So 1 and 2/5 can be changed to 1 and 6/15
And 1 and 1/3 can be changed to 5/15
So what you do is multiply both the numerator and denominator by how much you need to multiply to get to 15 and the denominator.
You would then add the fractions, leaving the answer to be 2 and 11/15
So for example 2 * 3 = 6 and 5 * 3 = 15, meaning the fraction would be 6/15
Answer:
36.87°
Step-by-step explanation:
cos C = 4/5
arccos C = 36.87
