Step-by-step explanation:
1:d
2:c
3:a
4c
5:b
i think so
Answer:
9 p.m.
Step-by-step explanation:
Lowest common multiple (LCM) of 6 and 4.
LCM of 6, 4 = 2 × 2 × 3 = 12
After 12 hours 9 A.M. = 9 P.M.
After 12 hours at 9 P.M. she will take both medicines together again.
Since the two numbers vary directly, if Y is quadrupled, X will do the same. 2 times 4 is 8, 15 times 4 is 60.
X = 60.
Hope that helps!! :)
Answer:
(x - 5)(x + 3)
Step-by-step explanation:
to solve x² - 2x = 15, we need to get all the terms on one side so we can solve the quadratic equation using factoring. to do this, we subtract 15 from both sides
x² - 2x = 15
- 15 -15
x² - 2x - 15 = 0
now we can factor. we need 2 numbers that when multiplied together give us -15, and when those 2 numbers are added together we get -2
because we have a -15, we can assume that one number must be negative and the other positive, as a negative times a postive is a negative.
we can use 3 and -5 as factors and test it out. we put x in front because we have an x²
(x - 5)(x + 3) < we can FOIL to check to see if this is correct. its not mandatory to check but when you arent sure of the answer you can FOIL it out
FOIL stands for: First, Outside, Inside, and Last terms
F: (x - 5)(x + 3) = x²
O: (x - 5)(x + 3) = -3x
I: (x - 5)(x + 3) = 5x
L: (x - 5)(x + 3) = -15
x² + 3x - 5x - 15 < subtract 3x from 5x
x² - 2x - 15
this checks out, so our answer is (x - 5)(x + 3)
Answer:
The fourth term is -102----------------------------------------------
Explanation:
The term after the nth term is generated by this rule

which means that we first
Step 1) multiply the nth term (

) by -4
Step 2) Add the result of step 1 to the value 2 to get the next term in the sequence
Let's follow those steps above to generate the first four terms
The first term is

. In short, the first term is 2
The second term is...





So the second term is -6
The third term is...





The third term is 26
Finally, the fourth term is...




The fourth term is -102.