The numeric constant of variation is 100
Step-by-step explanation:
Direct proportion means that increase in one variable cause increase in other variable
Here,
It is given that
y varies directly as x
y∝x
when the proportionality symbol is removed a proportionality constant is introduced
Given that
y = 100 when x = 4
Putting the values
The numeric constant of variation is 100
Keywords: Proportion variation
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For this case we must find the solution of the following equation:
Applying distributive property on the right side of the equation we have:
Subtracting 7x from both sides of the equation:
Subtracting 20 from both sides of the equation:
Different signs are subtracted and the major sign is placed.
Dividing between -2 on both sides of the equation:
Thus, the solution of the equation is
Answer:
Answer:
Second option: (-2,-3) and (1,0)
Step-by-step explanation:
Given the system of equations , you can rewrite them in this form:
Simplify:
Factor the quadratic equation. Choose two number whose sum be 1 and whose product be -2. These are: 2 and -1, then:
Substitute each value of "x" into any of the original equation to find the values of "y":
Then, the solutions are:
(-2,-3) and (1,0)