<h2>
Answer:</h2>
To solve this system, we will use the graphing method.
Based on the graph shown below, we can conclude that this system has infinite solutions, because they are the same line.
Answer: 11,600
Step-by-step explanation: 10³ = 10 x 10 x 10 = 1,000.
1,000 x 6.4 = 6,400.
1,000 x 5.2 = 5,200.
6,400 + 5,200 = 11,600
Answer:
m = 5/3
Step-by-step explanation:
Answer:
g(x) = 3x^2 + 3.
Step-by-step explanation:
f(x) = 3x^2 - 5.
First, the x-intercepts have to be calculated to determine the line of symmetry of f(x). For that, set f(x) = 0. Therefore:
3x^2 - 5 = 0.
x^2 = 5/3
x = 1.29 and x = -1.29. The midpoint of these two x-coordinates will be the line of symmetry, which is x = 0.
Therefore, if the graph is translated vertically upwards, it will move up the y-axis by the given amount. In this question, the amount is 8. Simply add 8 in f(x) to obtain g(x). Therefore:
g(x) = f(x) + 8.
g(x) = 3x^2 - 5 + 8.
g(x) = 3x^2 + 3.
Therefore, g(x) = 3x^2 + 3!!!
