First, you need to set the equation equal to zero:
n^2 + 7n + 10 = 0
Now we factor. We need to find two numbers that add up to 7 and multiply to 10.
2 + 5 = 7
2 * 5 = 10
Now, we just need to write this as a polynomial:
(n + 2) (n + 5)
is our answer.
Hope this helps!
Answer:
1) A.
2) C.
Step-by-step explanation:
1) 1 pint = 1/2 quarts
15 pints = 15 × 1/2 quarts
15 pints = 15/2 quarts
15 pints = 7 1/2 quarts
2) 1 quarts = 0.95 liters
4 quarts = 0.95 × 4 liters
4 quarts = 3.8 liters
Answer:
E. -8, -29
Step-by-step explanation:
a-b=21
5a -2b =18
Take the first equation and solve for a by adding b to each side
a-b=21
a-b+b=21+b
a = 21+b
Now substitute a=21+b into the second equation
5a -2b =18
5(21+b) -2b =18
Distribute the 5
105 +5b-2b =18
Combine like terms
105 +3b =18
Subtract 105 from each side
105-105 +3b = 18-105
3b = -87
Divide each side by 3
3b/3 =-87/3
b = -29
if b = -29, we can substitute it into a =21+b
a = 21-29
a = -8
First we need to find the heigh of the soda can be rearanging the volume formula,

. We can make that

We know that V is 36 and radius is half of the diameter, so radius is 2.


h = 2.87
Now, we can use the height to figure out the volume of a cone. The volume of a cone is

R is 2 again and h is 2.87


12.56*.96 = 12.0576
So a cone with a volume of 12.0576 is the largest that will fit into the soda can
Answer:
Jim bought 3 burgers for $5.50 & 2 orders of fries for $3.00. Abby bought 2 burgers for $9.00 and 4 orders of fries for $5.00.
Step-by-step explanation: