The value placed in the box that makes the system of equation with infinitely many solution is 12.
<h3>How to solve an infinitely many solution equation?</h3>
An infinite solution has both sides equal. For example, 6x + 2y - 8 = 12x +4y - 16. If we simplify the equation we will notice both sides are equal. This means the equation has an infinitely many solution.
Hence,
y = -2x + 4
Therefore,
6x + 3y = 12
divide the equation(ii) by 3
2x + y = 4
y = -2x + 4
Therefore, both equation are equal if the the box is filled with 12. This means for the value placed in the box that makes the system of equation with infinitely many solution is 12.
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Answer:
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Step-by-step explanation:
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Answer:
The average walking speed is 1.48 feet per second
Step-by-step explanation:
we have
where
r is average walking speed
p is the population in thousands
In this problem we have
----> because p in the equation is in thousands
substitute the value of p in the equation
using a calculator
The order of magnitude is the same thing as saying the scientific notation which is 4x10 to the power of six. The important thing about scientific notation is that there has to be a number only in the tens place but nothing in the hundreds and thousands.
The value of the function is 5
<h3>What is function?</h3>
A function is defined as a relation between a set of inputs having one output each.
Given function:
f(x) = 5x − 6
Now f(2+h) - f(2) /h
= 5(2+h)-6 - 10+6/h
=10+ 5h -10/h
=5h/h
=5
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