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3 years ago

Which of the following lines has a slope of -1/3 and a y-intercept of 6? x - 3y = 6 x + 3y = 18 3y - x = 18

Mathematics

2 answers:

Blababa [14]3 years ago

4 0

Answer:

The correct option is 2. The equation of line is x + 3y = 18.

Step-by-step explanation:

The slope intercept form of a line is

$y=mx+b$

where, m is slope and b is y-intercept.

It is given that the slope of a line is -1/3 and a y-intercept is 6.

Substitute m=-1/3 and b=6 in the above equation.

$y=-\frac{1}{3}x+6$

Multiply both the sides by 3.

$3y=-x+18$

Add x on both the sides.

$x+3y=-x+18+x$

$x+3y=18$

The equation of line is x + 3y = 18. Therefore the correct option is 2.

erastovalidia [21]3 years ago

3 0

The second choice is correct, but I believe that either its +1/3 ( in the question) or -3y as that will give you the answer of: y=1/3x+6

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3 years ago

Find all zeros of ƒ(x) = 2x^4 – 72x^2. Then determine the multiplicity at each zero. State whether the graph will touch or cross

AleksandrR [38]

Answer: See below

Step-by-step explanation:

<u>To find the factor,</u>

f(x) = 0

$\begin{aligned}&2 x^{4}-72 x^{2}=0 \\&2 x^{2}\left(x^{2}-36\right)=0 \\&x^{2}\left(x^{2}-36\right)=0 \\&x \times x \times(x-6) \times(x+6)=0 \\&\mathrm{x}=0,0,6,-6\end{aligned}$

x = 0 multiplicity 2

x = -6 multiplicity 1

x = 6 multiplicity 1

For an even multiplicty, the graph touches the x-axis, and for an odd multiplicty, the graph crosses the x-axis

<u>Therefore,</u>

x = 0 multiplicty 2, Touch

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2 years ago

A fully inflated basketball has a radius of 12

valentinak56 [21]

The volume of air needed is equal to the volume of the sphere, which is 7,234.56 cm^3.

<h3>How to get the volume of a sphere?</h3>

The volume of air that we need is equal to the volume of the basketball.

Remember that for a sphere of radius R, the volume is:

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In this case, the radius is 12cm, replacing that we get:

V = (4/3)*3.14*(12cm)^3 = 7,234.56 cm^3

Then, to fully inflate the ball, we need 7,234.56 cm^3 of air.

If you want to learn more about spheres, you can read:

brainly.com/question/10171109

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