Answer:
Yes
Step-by-step explanation: If you multiply all the number by the power of 2, you'll see that the two lower numbers equal up to the higher number.
Answer:
The solution is (-3, 10.8)
Step-by-step explanation:
While it's rather obvious that you want to solve this system of linear equations, you should share that instruction when you post the problem.
To solve this system using elimination by addition and subtraction, combine the two equations as shown below (to eliminate y):
-0.18x + y = -6.54
-2.8x - y = -2.4
--------------------------
-2.98x = -8.94
Dividing both sides by -2.98, to isolate x, yields: x = -8.94 / (-2.98) = -3.
Then x = 3. Find y from -2.8x - y = -2.4: -2.8x + 2.4 = y, and here,
y = -2.8(-3) + 2.4 = 8.4 + 2.4 = 10.8
Then the solution is (-3, 10.8)
Answer:
6x-16
Step-by-step explanation:
2(3x-8)
distribute the 2
2 x 3x = 6x
2 x -8 = -16
The property shown by given statement is associative property.
Step-by-step explanation:
Given expression is:
2(xy)=(2x)y
The expression contains three terms, the associative property involves three terms.
The associative property for product states that product of three terms is same no matter what the order of product is.
It can also be stated as:

We can see that the same property is illustrated in the given statement.
Hence,
The property shown by given statement is associative property.
Keywords: Properties, expressions
Learn more about properties at:
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Answer:
A.) P^2 - 10p + 24 = 0
B.) 6 or 4 dollars
Step-by-step explanation:
Given that a company’s weekly revenue, in thousands, is modeled by the equation
R = -p2 + 14p,
where p is the price of the product it makes. The company is considering hiring an outside source to distribute its products, which will cost the company 4p + 24 thousand dollars per week.
If the company want to break even, the cost of hiring distributors will be equal to the revenue per week.
Therefore,
-P^2 + 14p = 4p + 24
Collect the like terms
-P^2 + 14p - 4p - 24 = 0
-P^2 + 10p - 24 = 0
Multiply all by minus sign
P^2 - 10p + 24 = 0
B.) To find P, factorize the equation above.
P^2 - 10p + 24 = 0
- 6 x - 4 = 24 and - 6 - 4 = 10
P^2 - 4p - 6p + 24 = 0
P( p - 4 ) - 6( p - 4 )
P - 6 = 0 or p - 4 = 0
P = 6 or 4
Substitute both back into the equation to test their authenticates
When p = 6
6^2 - 10(6) + 24 = 0
When p = 4
4^2 - 10(4) + 24 = 0