When you divide the same numbers with powers, you subtract the powers to simplify it.
So with 6² /
the powers are subtract:
(² ⁻ ⁴ = ⁻²)
6⁻² / 6⁴ =
6⁻² 6⁻² as a fraction is <span>
1/36
So the answer is
C</span>
✅
<u>Step-by-step explanation</u>:-
<u>To verify</u>:-
Hence verified. ✔
When you see "is the same", that means the left side of the equation equals the right side.
4 times a number. Set up 4x.
Increased by 2. Add 2 to set up 4x + 2.
10 more than 2 times is 2x + 10.
Solve for x: 4x + 2 = 2x + 10
:)
Answer:
The minimum cost of installing the cable is $156.
Step-by-step explanation:
We have an optimization problem.
We have to minimize the cost of the cable.
We will use the variable x to express the the length of cable CP and PM, accordingly to the attache picture.
The length of the cable that goes from C to P (let's call it CP) is x.
Then, the length of the cable that goes from P to M (PM) can be calcualted usign the Pithagorean theorem:
The cost function Y is:
To optimize this cost funtion we have to derive and equal to 0:
The valid solution is x=21, as x can not phisically larger than 33.
The cost then becomes:
Answer :
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Step-by-step explanation :
We start by dividing the inequality by 3 to get
8 -4x < 2(x-5)
And we can divide by 2 to simplify further to
4 -2x < x-5
Now, we add 2x+5, which gives
9 < 3x
and then divide by 3 again:
3 < x
Hoped it help...