Answer:
The equation of the line y= 5x+1. Line that is parallel to the function given should have the same slope as the equation which is 5. We use the point-slope form in order to find the second equation that contains the point (4,5).
y - 5 = 5(x-4)
y = 5x - 20 +5
y≈ 5x -15
Answer: OPTION C.
Step-by-step explanation:
In order to solve the given exercise, you can follow these steps:
1. Given the following function f(x):

You must substitute
into the function f(x). Then:

2. Evaluating, you get:

3. Now, the next step is to substitute
into the function g(x):

4. Finally, evaluating, you get the following result:

You can identify that it matches with the Option C.
Answer:
8, 10, 3
Step-by-step explanation:
For finding real solutions to cubic equations and those of higher degree, I find a graphing calculator to be useful. The problem can be cast in the form ...
f(x) = 0
where f(x) is the difference between the product of the integers and 240:
f(x) = x(x +2)(x -5) -240
Then all we need to do is ask the calculator to show the x-intercept. It is x=8.
So, the three integers are ...
The ratio between the masses of Jupiter and Venus is

We can separate the coefficient and the powers of ten:

Use the exponent rule

to simplify the powers of 10:

So, the ratio is

So, Jupiter has a mass that is approximately 400 times greater than Venus's.