Answer is 47.
- a prime number only has factors of one and itself
- other numbers were composite
- 45 can be divided by 5
- 46 can be divided by 2
- 48 can be divided by 2
- 49 is 7^2
Answer:
x=7/3
Step-by-step explanation:
8 ^ (x - 1 ) = 16
We need to rewrite 8 as 2^3 and 16 as 2^4
2^3 ^ (x - 1 ) = 2^4
We know that a^b^c = a^(b*c)
2^(3(x-1)) = 2^4
The bases are the same so the exponents are the same
3(x-1) = 4
Distribute
3x-3 = 4
Add 3 to each side
3x-3+3 = 4+3
3x = 7
Divide by 3
3x/3 = 7/3
x=7/3
Answer:
(x+3)^2+4 or x^2+6x+13
Step-by-step explanation:
The number in the parenthesis means the translation from the original left or right. The second number (outside of the parenthesis, in this case 2), is the translation from the original up or down. So, if the question were shift the graph of this function two units <em><u>down</u></em>, then the second number would <em><u>decrease</u></em> by 2. However, because the equation is shift the graph up 2 units, then you would <u><em>add </em></u> 2 to the second number. Same thing with the number inside of the parenthesis.
Answer:
Correct choice is A
Step-by-step explanation:
If a function has an inverse, then there is at most one x-value for each y-value.
The tangent function is periodic with period 
Hence, at each value for which 
is defined, 
for each integer n. Therefore, the function does not have an inverse. Since tangent is not a one-to-one function, the domain must be limited. From examining the graph of the tangent function, we see that in each interval of the form
where k is an integer, the tangent function assumes every value in its range. Moreover, in each such interval, each y-value is achieved exactly once. Hence, we can create an invertible function by restricting the domain tangent function to one such interval. Such interval is an interval between two consecutive vertical asymptotes 
and 
Answer:-11/32
Step-by-step explanation:
-7/8 - (-17/32)
= -7/8 + 17/32
The highest common factor is 32
= (-7*4+17)/32
= (-28+17)/32
= -11/32
