<h3>
Answer: 6.93</h3>
Work Shown:
Use the pythagorean theorem to find x
a^2 + b^2 = c^2
x^2 + 11^2 = 13^2
x^2 + 121 = 169
x^2 = 169 - 121
x^2 = 48
x = sqrt(48)
x = 6.92820323027551
x = 6.93
Answer:
{-2, -14, -26, -50}
Step-by-step explanation:
The range of the function is the function evaluated at each point of the given domain. So to find the range of the function we need to find the value of the function for each point in the domain:
- For x = -8




The first value of the range of the function is -2
- For x = -2




The second value of the range is -14
- For x = 4




Th third values of the range is -26
- For x = 16




The fourth and last value of the range is -50
Now we can put all the values of the range together
The range of the function is {-2, -14, -26, -50}
Step-by-step explanation:
3x(x2 + 2x – 6) + 4(x2
– 6x + 2)
Answer:
1) 
2) 
3) 
4) 
5) 
Step-by-step explanation:
According to the information given in the exercise, the value of "x" is:

Then:
1) You must substitute
into the expresion
:

Now, you must evaluate:

2) You have to substitute the given value of "x" into the second expression:

Finally, evaluating, you get the following result:

3) According to the Zero exponent Rule, any non-zero number with an exponent of zero is equal to 1.
Then, substituting
into the expression
and then evaluating, you get:

4) By definition:

Then, substituting
into
and evaluating, you get:

5) Since:

When you substitute the given value of "x" into the last expression and then you evaluate, you get:
