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bixtya [17]
3 years ago
10

Find the zeros and the y-intercept of:

Mathematics
1 answer:
kondaur [170]3 years ago
3 0
The y-intercept exists when x = 0, so the y-intercept is (0, 30). The zeroes are found by factoring.  You can simplify that a bit by factoring out a 6: f(x)=6( x^{2} +3x+5).  Now factor that using the quadratic formula because the solutions are not real. x= \frac{-3+/- \sqrt{(3) ^{2}-4(1)(5) } }{2} which simplifies to x= \frac{-3+/- \sqrt{-11} }{2} and in the end we have x= \frac{-3+/-i \sqrt{11} }{2}
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Find the equation of the line passing through the points -2x+1 (8,2)
Harrizon [31]

The line that passes through (-2, 1) and (8, 2) is:

y = (1/10)*x + 12/10

<h3>How to find the equation of the line?</h3>

I assume you want to find the equation of the line that passes through (-2, 1) and (8, 2).

A general linear equation is written as:

y = a*x + b

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

a = \frac{y_2 - y_1}{x_2 - x_1}

In this case, we know that it passes through (-2, 1) and (8, 2), then:

a = \frac{2 - 1}{8 - (-2)} = 1/10

Then the line is:

y = (1/10)*x + b

To find the value of b, we use one of the given points, for example if we use (8, 2), it means that when x = 8, we must have y = 2.

2 = (1/10)*8 + b

2 - 8/10  = b

20/10 - 8/10 = b

12/10 = b

Then the linear equation is:

y = (1/10)*x + 12/10

If you want to learn more about linear equations:

brainly.com/question/1884491

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2 years ago
Please help<br> Find f(1/3) if f(n) = 3n.
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Answer:

1

Step-by-step explanation:

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f(1/3)= 3*(1/3)=1

f(1/3)=1

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I'll just do the entire thing since it's 13 points

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Step-by-step explanation:

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