The answer for the exercise shown above is the first option, the option A, which is shown below: A. Exponential function.
In a geometric sequence, the ratio of any two consecutive numbers that form the sequence is equal. In other words, they have common ratio.
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.
Parentheses. Exponents. Multiplication Division. Addition Subtraction.
2) 6 x (11 - 5)- 7^2
6 x (6) - 7^2
6 x 6 - 49
36 - 49
-13
3) (40 - 2^2) / (-4 + 6)
(40 - 4) / (-4 + 6)
(36) / (2)
36/2
13/1
13
4) (66 - 6) / 6 - 2^2
(60) / 6 - 2^2
60 / 6 - 4
60 / 2
30 / 1
30
Answer: y = 2x also written as y = 2x + 0
Step-by-step explanation:
When dealing with parallel lines their slopes are ALWAYS the same so the equation would have the slope of 2, but to find the y intercept you have to plug the coordinate given into the point-slope formula (y - y1) = m(x - x1) where m is the slope, y1 is the y output of the coordinate and x1 is the x input of the coordinate.
1. Plug cordinate into point slope form equation:
(y - 0) = 2(x - 0)
2. Distribute the 2 to x and 0
y - 0 = 2x - 0
The two zeros cancel out because they are 0s to begin with so your final answer for your y - intercept is 0
hope this helps :)
