Multply both equations by 2 leaving
x + 2y = 8
x - 2y = -2
Add the equations giving
2x = 6
x = 3
Substitute 3 in the top equation
3 + 2y = 8
2y = -5
y = -2.5
I believe that x=20 from the math i did hopefully its helpful.
Answer:
If m is nonnegative (ie not allowed to be negative), then the answer is m^3
If m is allowed to be negative, then the answer is either |m^3| or |m|^3
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Explanation:
There are two ways to get this answer. The quickest is to simply divide the exponent 6 by 2 to get 6/2 = 3. This value of 3 is the final exponent over the base m. Why do we divide by 2? Because the square root is the same as having an exponent of 1/2 = 0.5, so
sqrt(m^6) = (m^6)^(1/2) = m^(6*1/2) = m^(6/2) = m^3
This assumes that m is nonnegative.
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A slightly longer method is to break up the square root into factors of m^2 each and then apply the rule that sqrt(x^2) = x, where x is nonnegative
sqrt(m^6) = sqrt(m^2*m^2*m^2)
sqrt(m^6) = sqrt(m^2)*sqrt(m^2)*sqrt(m^2)
sqrt(m^6) = m*m*m
sqrt(m^6) = m^3
where m is nonnegative
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If we allow m to be negative, then the final result would be either |m^3| or |m|^3.
The reason for the absolute value is to ensure that the expression m^3 is nonnegative. Keep in mind that m^6 is always nonnegative, so sqrt(m^6) is also always nonnegative. In order for sqrt(m^6) = m^3 to be true, the right side must be nonnegative.
Example: Let's say m = -2
m^6 = (-2)^6 = 64
sqrt(m^6) = sqrt(64) = 8
m^3 = (-2)^3 = -8
Without the absolute value, sqrt(m^6) = m^3 is false when m = -2
Answer: 0.25 feet
Step-by-step explanation:
Given: Jonathon has paper strips that are all equal in length.
Let x be the length of each paper strip.
Since John lines them up end to end, the length of the line of paper strips= 3 feet
Also total strips used= 12
Therefore, length of line of strips=
hence, if Jonathan is correct then the length of each strip will be 0.25 feet.
Step-by-step explanation:
Step one:
The farmer sells his corn for $230 a metric ton
small surcharge = $25.
let the amount per metric ton be x
and let the total cost per x metric ton be y
the total cost function is
y=230x+25--------------1
The neighbor sells her corn for $230 a metric ton
he gives $15 rebate------<em>A rebate is a partial refund of the cost of an item</em>
let the amount per metric ton be x
and let the total cost per x metric ton be y
the total cost function is
y=230x-15----------------2
Step two:
Equating the two equation above
230x+25=230x-15
230x-230x=25+15
0=40
The result shows that based on the cost function of both farmer, there will never be an amount of corn that would make them have the same cost
