Linear functions are usually of degree 1. They are a straight line. y=mx+b
Answer:
The value of x is -3.
Step-by-step explanation:
To find x, we have to put everything in base 6 and continue to simplify. Since we know that 216 is 6^3, we can replace that.
6^x = 1/216
6^x = 1/(6^3)
Now, when there is a power in the denominator, we know we can move it to the numerator by making it negative. We can do that to get the bases to match.
6^x = 1/(6^3)
6^x = 6^-3
Now that they are both put in simple base 6 systems, we can just eliminate the bases and assume that the powers are equal. This lets us know that x = -3.
Answer:
Step-by-step explanation:
To complete the square, we first have to get our equation into 
form.
First we add 16x to both sides:
And now we subtract 62 from both sides.
We now have to add 
to both sides of the equation. b is 16, so this value becomes 
.
We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because 
and 
.
We can now take the square root of both sides.
We can now isolate x on one side by subtracting 8 from both sides.
So our solutions are
Hope this helped!
<span>18z-7(-3+2z)
= 18z + 21 - 14z
= 4z + 21
answer is False
</span><span>coefficient of z is 4, not 13</span>
The left term is (5x)³.
The right term is 10³.
So, you can use the formula for the factorization of the difference of cubes.
... a³ - b³ = (a-b)(a² +ab +b²)
Here, you have a=5x, b=10, so the factorization is
... 125x³ -1000 = (5x-10)(25x² +50x +100)
