5x² + |x+1| > 0
5x² + x + 1 > 0
x+1 > 0 because it came from absolute
5x² > 0 because it’s squared
When you try a number you should put it in the original equality
5x² + |x+1|
The answer is D. There is a positive correlation between the hours studied and grades earned.
Answer:

Step-by-step explanation:
We want to write the equation of a line that passes through (5, 6) and (-1, 4).
First, let's find our slope. We can use the slope formula:

Let's let (5, 6) be (x₁, y₁) and let's let (-1, 4) be (x₂, y₂). So, our slope is:

Subtract:

Reduce:

So, our slope is 1/3.
Now, we can use the point-slope form, which is:

For consistency, let's let (5, 6) be (x₁, y₁). We will also substitute 1/3 for m. So:

Distribute:

Add 6 to both sides:

Add:

And we're done!
Step-by-step explanation:
We need to solve each equation.
a. 6c = 30
c = 30/6 = 5
b.
2d-6=12
Adding 6 both sides
2d-6+6=12+6
2d = 18
d = 9
c.

d.
50=14+3m
50-14=3m
36=3m
m = 12
Hence, this is the required solution.
Answer:
The answer is 12
Step-by-step explanation:
we multiply it by 2 6 and another 6 is 12 so answer is 12