i wasn't sure on how to explain it so i just attached ur answer
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!!!
x + 9 = -44
1. Subtract 9 to both sides
x = -53
Answer:
Density of the material is 5 grams per cubic centimeter.
Step-by-step explanation:
The answer is required to be given in grams per cubic centimeter.
So we should first convert the values to match the units.
Mass is given as 2500 grams so we don't need to change the units.
Volume is given in cubic centimeters. So we don't need to change the units.
Density = [ Mass of the material / Volume of the Solvent]
=2500 grams / 500 cubic centimeters
=5 grams per cubic centimeter
