5. rational number
7. opposite of 1/3 is -1/3 and opposite of -7/12 is 7/12
8. absolute value of 9.8 is 9.8 and absolute value of -10/3 is 10/3
Step-by-step explanation:
Only D, y = 3x + 12 is in slope-intercept form.
Answer:
Explanation:
The <em>end behavior</em> of a <em>rational function</em> is the limit of the function as x approaches negative infinity and infinity.
Note that the the values of even functions are the same for ± x. That implies that their limits for ± ∞ are equal.
The limits of the quadratic function of general form 
as x approaches negative infinity or infinity, when 
is positive, are infinity.
That is because as the absolute value of x gets bigger y becomes bigger too.
In mathematical symbols, that is:
Hence, the graphs of any quadratic function with positive coefficient of the quadratic term will have the same end behavior as the graph of y = 3x².
Two examples are:
9514 1404 393
Answer:
179/495
Step-by-step explanation:
When the repeating decimal starts at the decimal point, the repeating digits can be turned into a fraction by putting them over the same number of 9s. That is, 0.61616161... is equivalent to 61/99.
Here, the repeating part is 1/10 that value, so is 61/990. This is added to the non-repeating part, which is 0.3 = 3/10.
Then the entire decimal is ...
0.361_61 = 3/10 + 61/990 = (297 +61)/990 = 358/990 = 179/495
In a parallelogram, opposite angles are congruent and consecutive angles are supplementary.
3x - 15 = 2x + 24
3x - 2x = 24 + 15
x = 39 <===
