Answer:
Step-by-step explanation:
we are given
f is translated 4 units down to create g
we know that
whenever we translate any function by 'a' units down , we always subtract that function by 'a' units
Suppose, f(x) is translated down by 'a' units
so, we get
=f(x)-a
now, we have
f is translated 4 units down
so, we get
and it is creating g(x)
Step1: Define an odd integer.
Define the first odd integer as (2n + 1), for n = 0,1,2, ...,
Note that n is an integer that takes values 0,1,2, and so no.
Step 2: Create four consecutive odd integers.
Multiplying n by 2 guarantees that 2n will be zero or an even number.
Therefore (2n + 1) is guaranteed to be an odd number.
By adding 2 to the odd integer (2n+1), the next number (2n+3) will also be an odd integer.
Let the four consecutive odd integers be
2n+1, 2n +3, 2n +5, 2n +7
Step 3: require that the four consecutive integers sum to 160.
Because the sum of the four consecutive odd integers is 160, therefore
2n+1 + 2n+3 + 2n+5 + 2n +7 = 160
8n + 16 = 160
8n = 144
n = 18
Because 2n = 36, the four consecutive odd integers are 37, 39, 41, 43.
Answer: 37,39,41,43
Hello from MrBillDoesMath!
Answer: NO solution possible!
Steps:
Let "n" be the first even number. We are told that
n + (n+2) + (n+4) + (n+6) + (n +8) = 216
The third number, the value we want, is boldfaced above.
Simplify the above equation:
5n + ( 2 + 4 + 6 + 8 ) = 216 or
5n + 20 = 216 or
5n = 196
n = 196/5 is NOT an integer value. This problem, as stated, has no solution.
Regards, MrB
There are 3 questions and 4 choices.
So she has 1/4 of a chance of getting each question right.
Now if you multiply all her odds 1/4 x 1/4 it would become 1/16. Therefore she has 1/16 of a chance of getting a 2/3
To get the area of a rectangle, multiply the side lengths.
Our side lengths of this rectangle is 1/2 and 3/4, so let's multiply them.
Thus, the area of this rectangle is 3/8 ft². I hope this helps! :)
~AgentCozmo4, Moderator
