Answer:
Step-by-step explanation:
For a function to have a y-intercept of -1, means that
when x = 0, f(0) = -1.
we must look for which of the options meets this condition.
I will number the options as follows:
when x = 0:
Note: , so
function 1 meets the condition for the y-intercept.
when x = 0
function 2 also meets the condition for the y-intercept.
when x = 0
Note:
function 3 also meets the condition for the y-intercept.
when x = 0
function 4 does not meet the condition for the y-intercept, so we discard it.
We are left with the 3 first functions as options. Now we consiser that the amplited must be 2.
The amplitude in an oscillatory function like these is the number that accompanies the sine or the cosine:
f(x) = ±Asin(x) or
f(x) = ±Acos(x)
so out of the option we have to consider, only the second function has a number 2 next to the sine function:
this function will have a y-intercept of -1 and an amplitude of 2 (because the sine has a number 2 next to it)
Answer: The smallest valuest value for<em> k </em>is 10, such that LCM o<em>f k</em> and 6 is 60.
Step-by-step explanation:
We know that, LCM = Least common multiple.
For example : LACM of 12 and 60 is 60.
If LCM of k and 6 is 60.
i.e. the least common multiple of k and 6 is 60.
Since, 10 x 6 = 60.
The smallest valuest value for<em> k </em>should be 10, such that LCM o<em>f k</em> and 6 is 60.
Hence, the smallest value of k is 10.
not sure but..... for example:if its one-third + one-third=one whole
Answer: 30
Step-by-step explanation:5(Z+4) + 5(2-Z).
Open the brackets by multiplying true by the number out of the bracket.
5Z + 20 + 10 - 5Z
Now, collect like terms, we have.
5Z - 5Z + 20 + 10. Now we have
0 + 30 = 30//