Answer:
Equation of the parabola:
or 
Vertex form: 
Intercept form: 
Step-by-step explanation: hope this helps please give brainlieat!
Answer:
9
Step-by-step explanation:
So firstly, <u>the factor (4n - 5) cannot be further factored, so we will be focusing on 2n² + 5n + 3.</u>
So for this, we will be factoring by grouping. Firstly, what two terms have a product of 6n² and a sum of 5n? That would be 2n and 3n. Replace 5n with 2n + 3n:

Next, factor 2n² + 2n and 3n + 3 separately. Make sure that they have the same quantity on the inside of the parentheses:

Now we can rewrite this expression as<u>
, which is your final answer.</u>
Answer:

Step-by-step explanation:
We want to simplify:

Recall the Pythagorean Identity:

So:

Substitute:

Factor. We can use the difference of two squares pattern:

Cancel. Hence:

Answer:
Number of volleyballs bought = 8
Number of basketballs bought = 11
Step-by-step explanation:
Given that:
Total amount spent = $204.20
Let,
x be the number of volleyballs
y be the number of basketballs
According to given statement;
y = x+3 Eqn 1
8.20x+12.60y=204.20 Eqn 2
Putting value of y from Eqn 1 in Eqn 2
8.20x + 12.60(x+3) = 204.20
8.20x + 12.60x + 37.80 = 204.20
20.80x = 204.20 - 37.80
20.80x = 166.40
Dividing both sides by 20.80

Putting x=8 in Eqn 1
y = 8+3 = 11
Hence,
Number of volleyballs bought = 8
Number of basketballs bought = 11