If we do not go to the beach, it is raining
In order to find out what 36x + 9 is equivalent to,, we must factor out 9 from the expression. Once we do this you will find that this expression is equivalent to 9(4x + 1),, or option E.
Next we will look at the expression 9(4x -1). In order for us to find out the equivalent to this expression,, we must first multiply each term in the parenthesis by 9.
9 × 4x - 9
Now calculate the product
36x - 9
This means that the equivalent for this expression is 36x - 9,, or option A.
Lastly,, we will look at the final expression given which is 4(9x + 2). The first step for finding the equivalent of this expression is to multiply the numbers in the first parenthesis together.
(36x) + (4 × 2)
Now multiply the numbers in the second parenthesis together.
(36x) + 8
Remove the parenthesis
36x + 8
Now factor out 4 from the expression to get your final answer.
4(9x + 2)
This means that the last expression is equivalent to 4(9x + 2),, or option C.
Let me know if you have any further questions
:)
Answer:
10,000
Step-by-step explanation:
The combination consists of four digits, hence 0000 to 9999. There at 10^4 or 10,000 possible combinations (but only one that works).
Answer:
x = 7
Step-by-step explanation:
Assuming the quadrilateral is a parallelogram, then the diagonals bisect each other.
7x - 8 = 41
7x = 49
x = 7
Answer:
The equation of the new function is 
Step-by-step explanation:
Suppose we have a function f(x).
a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.
f(x - a) is shifting f(x) a units to the right.
f(x + a) is shifting f(x) a units to the left
In this question:
Vertically compressing by 1/2:
This is the same as multiplying the function by 1/2. So
The equation of the new function is
