For this case we have the following table:
x f(x)
<span><span><span>0 2
</span><span>1 5
</span><span>2 10
</span><span>3 17
</span></span></span> The equation that best fits the data in the table, for this case, is given by a quadratic function.
<span><span><span> </span></span></span>The quadratic function in its standard form is:
f (x) = x2 + 2x + 2
Answer:
f (x) = x2 + 2x + 2
If you draw the line and mark -2 and 3 you find that they are 5 apart. By calculation, subtract the lowest from the highest: 3 - -2 = 3+2 = 5
4^3= 64
2^6= 64
Therefore, n=6.
You can also figure this out if you know that 2^3*2^6=2^9. When you multiply exponents with the same base, add the exponents. 3+6=9
Final answer: n=6
Your answer would be C.) 18oz
Let's start with #3.
To find the variable y, we know that it is supplementary to an angle that is 38 degrees, meaning that it measures (180-38) degrees, which is equal to 142 degrees.
To find the variable x, we know that in relation to the angle labeled 38 degrees, angle x is a vertical angle, and all vertical angles are congruent, or have the same measure. Thus, the variable x equals 38 degrees.
So the answer to #3 is d. x = 38, y = 142.
Now, let's move on to #4
The diagram shows a right angle which measures 90 degrees (designated by the square symbol), an angle that measures x degrees, and an angle that measures 56 degrees. We can assume from the diagram that the sum of all of these angles equals a straight angle, or 180 degrees.
Thus, 180 = 90 + 56 + x. When this equation is solved, x = 34.
Therefore, the answer to #4 is a. x = 34