How many times larger is 7 x 106 than 3.5 x 10°?
1 answer:
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Answer:
yes, y varies directly with x.
y=4x is an equation of the Direct Variation
Step-by-step explanation:
x y
0 0
1 4
2 8
3 12
From the above data:
we can say that y varies directly with x.
Direct variation states that if y is expressed as the product of some constant number k and x.
i.e y=kx
Now, let any points from above data x= 2 and y= 8 to calculate the value of k,
8=2k
⇒
Therefore, the equation for the direct variation is, y=4x
The table of values for the given equation is presented below:
x y
-3 17
-2 2
-1 -7
0 -10
1 -7
2 2
3 17
<h3>Quadratic Function</h3>The Standard form for a quadratic equation is ax²+ bx + c=0, where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
To solve a quadratic function, you should find the discriminant: D=b²-4ac and then use this variable in the formula: .
The given equation is a quadratic function because have a degree equal to 2. Then, when you plot the graph, you obtain a parabola.
First, you should replace the given values for x in the equation y=3x²-10
x y
-3 y=3*(-3)²-10= 3*9-10=27-10=17
-2 y=3*(-2)²-10= 3*4-10=12-10=2
-1 y=3*(-1)²-10= 3*1-10=3-10= -7
0 y=3*(0)²-10= 3*0-10=-10= -10
1 y=3*(1)²-10= 3*1-10=3-10= -7
2 y=3*(2)²-10= 3*4-10=12-10= 2
3 y=3*(3)²-10= 3*3-10=27-10= 17
Now, you have the points to draw the graph, show the attached image.
Read more about the quadratic function here:
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