Answer:
16x=16x+1
0=1
Step-by-step explanation:
4x+12+12x+12+5=16x+30
16x+29=16x+30
16x=16x+1
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.
In order to utilize the graph, first you have to distinguish which graph accurately pertains to the two functions.
This can be done by rewriting the equations in the form y = mx + b which can be graphed with ease; where m is the slope and b is the y intercept.
-x^2 + y = 1
y = x^2 + 1
So this will be a basic y = x^2 parabola where the center intercepts on the y axis at (0, 1)
-x + y = 2
y = x +2
So this will be a basic y = x linear where the y intercept is on the y axis at (0, 2)
The choice which depicts these two graphs correctly is the first choice. The method to find the solutions to the system of equations by using the graph is by determining the x coordinate of the points where the two graphed equations intersect.
<em>Independent variables are variables of a quantity that are not affected by any conditions. </em>
<em>Dependent variables are variables of a quantity that change if conditions relative to that variable changes.</em>
For example, we generally we take x as independent variable by x variable and dependent variable by y variable.
To find the rate of change we get two values of independent variable (x's) and two values of dependent variables (y's) to get two coordinates in form of
(x,1,y1) and (x2,y2).
<h3>And we can find the rate of change by applying slope formula</h3>
.
Answer:
4/5
Step-by-step explanation:
cos B = 3/5
cos Ф = adjacent/hypothesis
hypothesis ² = adjacent² + opposite²
5²= 3²+ o²
25 = 9+o²
25-9=o²
16 = o²
√16 = o = 4
Sin B = opposite/hypothesis = 4/5