Answer:
x = 4
Step-by-step explanation:
You have to remember the "Quotient Rule" for exponent having same base.
The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.
Here,
base = 3
exponents = 2x + 1 , x + 5
3^(2x + 1) = 3^( x + 5)
3^(2x + 1) / 3^(x + 5) = 1
3^((2x + 1) - (x + 5) )= 1
3^(2x + 1 - x - 5) = 1
3^(2x - x +1 - 5) = 1
3^(x - 4) = 1
log 3^(x - 4) = log(1)
(x - 4) (log (3)) = 0
log(3) = 0 rejected
x - 4 = 0 accepted
x = 0 + 4
x = 4
Answer:
-x^2 - 2x + 48
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Given inequality:</u>
<u>Solve it:</u>
The graph includes the number line to the right of 5 and the 5 is included, so this point is represented by a full dot.
Correct choice is A
Given:
The function is

Domain = {-4, -2, 0, 2}
To find:
The range of the given function for the given domain.
Solution:
We know that domain is the set of input values and range is the set of output values.
We have,
and domain = {-4, -2, 0, 2}.
Putting x=-4 in the given function, we get
Putting x=-2 in the given function, we get
Putting x=0 in the given function, we get
Putting x=2 in the given function, we get
The output values are -7, 1, 9, 17. So, the range of the function f(x) for the given domain is {-7, 1, 9, 17}.
Therefore, the correct option is D.
To subtract vectors, you simply have to subtract correspondent coordinates.
So, if you have

the subtraction is simply

So, in your case, we have
