<span>x^2 + 8x = -3
</span><span>x^2 + 8x + 16 = -3 + 16
using a^2 + 2 a b + b^2 = (a+b)^2
</span><span>
</span>x^2 + 8x + 16 = 13
<span>(x +4)^2 = 13
answer : 16 is the number </span><span>you must add to complete the square</span>
Answer: 2 lbs of cherries
Cherries = $5 per pound
Oranges = $2 per pound
Total Cost = $18
Total weight = 6 lb
------------------------------------
Define x and y
------------------------------------
Let x be the number of lb of cherries
Let y be the number of lb of oranges
------------------------------------
Construct equations
------------------------------------
x + y = 6 ---------------------------- (1)
5x + 2y = 18 ---------------------------- (2)
------------------------------------------------------------------------
Solve x and y
------------------------------------------------------------------------
From equation (1):
x + y = 6
x = 6 - y
------------------------------------------------------------------------
Substitute x = 6 - y into equation 2
------------------------------------------------------------------------
5x + 2y = 18
5 (6 - y) + 2y = 18
30 - 5y + 2y = 18
3y = 30 - 18
3y = 12
y = 4
------------------------------------------------------------------------
Substitute y = 4 into equation (1)
------------------------------------------------------------------------
x + y = 6
x + 4 = 6
x = 2
------------------------------------------------------------------------
Find the weight of cherries and oranges
------------------------------------------------------------------------
Cherry = x = 2 lb
Oranges = y = 4 lbs
------------------------------------------------------------------------
Answer: Alex bought 2 lb of cherries
------------------------------------------------------------------------
Answer:
$60.79
Step-by-step explanation:
First take off the 30% from $78.95. That will leave you with $55.265.
Add 6% of $78.95 for sales tax (4.737) to the $55,265 = $60.002
Then add the 1% of $78.95 for local option tax (.7895) to the $60.002.
That gives you $60.7915 - round it to the nearest cent and it gives you
$60.79
B. four million eighty-four thousand and nine hundred four thousandths
Im confused on what your trying to ask...