3 years ago

Please help write the direct variation. Thank you!

Mathematics

1 answer:

prohojiy [21]3 years ago

8 0

yes the table represents direct variation

the equation is y=3.99x

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Steve bought 3.5 pounds of steak for $18.35. Approximately how many pounds of steak can Steve purchase for $1? 7.4B

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Step-by-step explanation:

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4 years ago

Lucia is helping her grandmother make a quilt. They have 4 yards of fabric, which is equal to 144 inches. They need an additiona

lana66690 [7]

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They need an additional 54 inches of fabric

Step-by-step explanation:

This can be solved by using the unitary method.

Unitary method is that we find the measure of 1 unit and then mulitply it with the required number to get the actual measurement.

4 yards of fabric is equal to 144 inches

1 yard of fabric is equal to 144 inches/4= 36 inches

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3 years ago

Algebraically determine if the relation y = x3 − 4x is symmetric with respect to the x-axis, y-axis, the origin or has no symmet

Gala2k [10]

$\bf y=x^3-4x
\\\\\\
\textit{check for y-axis symmetry}\\\\
\stackrel{x=-x}{y=(-x)^3-4(-x)}\implies y=(-x)(-x)(-x)+4x\implies \boxed{y=-x^3+4x}
\\\\\\
\textit{checking for x-axis symmetry}\\\\
\stackrel{y=-y}{(-y)=x^3-4x}\implies -y=x^3-4x\implies \boxed{y=-x^3+4x}
\\\\\\
\textit{checking for origin symmetry}\\\\
\stackrel{x=-x\qquad y=-y}{(-y)=(-x)^3-4(-x)}\implies -y=(-x)(-x)(-x)+4x
\\\\\\
-y=-x^3+4x\implies y=\cfrac{-x^3+4x}{-1}\implies \boxed{y=x^3-4x}\quad \checkmark$

notice, if you replace x = -x and y = -y accordingly for each test for symmetry, if the resulting function, is equal to the original function, then it has that type of symmetry.

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3 years ago