Answer: C) For every original price, there is exactly one sale price.
For any function, we always have any input go to exactly one output. The original price is the input while the output is the sale price. If we had an original price of say $100, and two sale prices of $90 and $80, then the question would be "which is the true sale price?" and it would be ambiguous. This is one example of how useful it is to have one output for any input. The input in question must be in the domain.
As the table shows, we do not have any repeated original prices leading to different sale prices.
Answer:
No solutions
Step-by-step explanation:
Simplify both sides of the equation as much as possible:
9r + 5 - 4 = 4r + 5r - 12
9r + 1 = 9r - 12
Both sides have "9r" which when cancel out, leave the equation as:
+1 = -12
This means there are no solutions.
Answer:
- not a function
- an x-value is repeated
Step-by-step explanation:
A function maps each value of the independent variable to one value of the dependent variable. If an input maps to two or more different outputs, the relation is not a function.
On a graph, two or more different output values for the same input will show up as points vertically aligned with each other. That is, a vertical line will intersect the graph in more than one place. When that happens, we say the graph <em>does not pass the vertical line test, so is not a function.</em>
<em>___</em>
On the graph of these points, we show the vertical line that intersects two of the points of the given relation. The relation fails the vertical line test.
Answer:
BC AC AB Longest to shortest.
Step-by-step explanation:
Solve for y
From the last question, 146 is the exterior angle.
That means that
5y + 3 + 4y+8 = 146
9y + 11 = 146 Subtract 11 from both sides
9y = 146 - 11 Combine the right
9y = 135 Divide by 9
y = 135/9
y = 15
Solve for x
x and 146 are supplementary.
x + 146 = 180 Subtract 146 from both sides
x = 180 - 146
x = 34
Solve For <A and <B
A
A = 5y + 3
A = 5*15 + 3
A = 75 + 3
A = 78
B
B = 4y + 8
B = 4*15 + 8
B = 68
========
The three angles are
A: 78
B: 68
X: 34
========
The side Opposite A is the longest because A is the biggest angle: BC
The side Opposite B is the second longest line: AC
The shortest line is AB
Conclusion
BC, AC, AB