Answer:
4^3 x 5^2
Step-by-step explanation:
Index notation just makes the numbers being multiplied by themselves easier to read.
Answer:
Step-by-step explanation:
We have the equation:
Let's simplify this a bit. Let . Then . We can substitute the exponents:
Use the properties of exponents, we can write . We can do the same thing on the right. So:
We can now factor out a from the left and a on the right. This yields:
Evaluate the expressions within the parentheses:
Evaluate:
Now, let's multiply both sides by . So:
Also, let's divide both sides by . Multiply on the right:
Therefore:
We can now substitute back u. Notice that 27 is the same as 3 cubed and 1000 is the same as 10 cubed. So:
Since they have the same base, their exponents must be equal. Therefore:
Add 2 to both sides:
So, the value of x is 5.
And we're done!
Answer:
The real roots are
and
The sum of the squares of these roots is
Step-by-step explanation:
The given quadratic equation is has two real roots.
To find the roots .
Dividing the above equation by 2
For quadratic equation the solution is
Where a and b are coefficents of and x respectively, c is a constant.
For given quadratic equation
a=4, b=6, c=-7
The real roots are
and
Now to find the sum of the squares of these roots
Therefore the sum of the squares of these roots is
The very last set
{(0, 2), (1, 4), (2, 6), (3, 6)}.
The reason why is because of the vertical line test. If there are two y-coordinates on a x-coordinate then it is not a function. A function is that each x-coordinate has a y-coordinate with the x-coordinates being different.
Example is above. If you have any questions then leave a comment. Good luck!