To factor the trinomial, you can use the ac method where you multiply the first and last terms together (6 and 9) and add up to 15.
In this case ac= 54
2 numbers that multiply to 54 and add up to 15 would be 6 and 9 so place these numbers where the 15 would be:
Then group terms to simplify:
Simplify any like terms:
And group together again:
You can simplify a 3 out of the first expression one more time to get:
Which would be the factored form. I hope this helps :)
Line 1 and line 2
gotta simplify line 2 into y=mx+b form
Answer:
8b+7p=20
p = 2b
Step-by-step explanation:
Given that there is a constant speed of 8 km per hour and the number of hours be b so here 8b signifies the distance
Now on the other hand there is a constant speed of 7 km per hour and the number of hours be p so here 7p signfies the distance
So the total distance would be
= 8b + 7p
And, the total km is 20
Now the whole equation would be
8b + 7p = 20
Also it is mentoined that for getting into the park it is twice for getting into the beach
So, it would be
p = 2b
Therefore the system of equations are as follows
8b+7p=20
p = 2b
The 5-pound bag is better value.
The easiest way to compare and find out which is a better buy is to find out how much is being charged for 1-pound of food in each bag.
$12 is divided by 3 beacuse it's a 3-pound bag and we are aiming to find what 1-pound is equal to.
$12 ÷ 3 = $4
So the first bag charges $4 per pound of food.
Then use the same method for the 5-pound bag.
$14.25 ÷ 5 = $2.85
So the second charges $2.85 per pound of food.
So as we can see, the 5-pound bag is clearly better value. For each pound of food you are saving $1.15 in comparison to what you would be spending if you opted for the first bag.
Hope this helps!
