Answer:
if solving for v: v= 3y
- _
2
Step-by-step explanation:
if solving for y: y= 2v
- _
3
Answer:

Or, by approximating:

Step-by-step explanation:
Let’s convert this to standard form. We have:

Subtract 5x² from both sides:

And add 6x and 1 to both sides:

This is not factorable. So, we will need to use the quadratic formula.
The quadratic formula for a quadratic in standard form is given by:

In this case, a=3; b=6, and c=1.
Substitute appropriately:

Simplify:

We can simplify the square root:

Hence:

Simplify:

Hence, we will have two solutions:

Approximating them, we can see that our solutions are approximately:

Answer:
10x^3+14x^2-25x-35
Step-by-step explanation:
f(x) = 2x^2 -5
g(x)= 5x+7
f(g(x)) = (2x^2 -5)(5x+7)
5x(2x^2 -5)+7(2x^2 -5)
10x^3-25x+14x^2-35
10x^3+14x^2-25x-35
Answer:
She is going at the rate of 4.5 feet per second.
Step-by-step explanation:
Given:
The rate of walking is 90 yards per minute.
Now, to find the rate in feet per second.
1 yard = 3 foot.
1 minute = 60 seconds.
So, first we find the rate of walking per second in yard = 
Therefore by dividing we get =
Now, we find the rate of walking per second in feet = 
So, by multiplying we get = 
Therefore, she is going at the rate of 4.5 feet per second.