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2 years ago

Solve pls i give brainlist to correct answer.

Mathematics

1 answer:

DIA [1.3K]2 years ago

5 0

Answer:

Maggie can run faster by 0.85 minutes.

Maggie runs in 5.20 minutes, Olivia runs in 4.35 minutes.

Step-by-step explanation:

Maggie = can run a mile in 5.2 minutes (1.3/0.25)

Olivia = can run a mile in 4.35 minutes (2.9/0.666666667)

5.2-4.35= 0.85 minutes

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What is the equation of the line that passes through the point (-6,3) and has a slope of −4/3?

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Answer:

$y = - \frac{4}{3} x - 5$

Step-by-step explanation:

The standard form for the equation of a line is

$y = mx + c$

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2 years ago

P(x) = x3 - 2x2 + 2x<br> What are the real and complex zeros of the equation

vesna_86 [32]

Given:

The polynomial is

$p(x)=x^3-2x^2+2x$

To find:

The real and complex zeros of the equation.

Solution:

We have,

$p(x)=x^3-2x^2+2x$

For zeros, p(x)=0.

$x^3-2x^2+2x=0$

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Using quadratic formula, we get

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)}}{2(1)}$

$x=\dfrac{2\pm \sqrt{4-8}}{2}$

$x=\dfrac{2\pm \sqrt{-4}}{2}$

On further simplification, we get

$x=\dfrac{2\pm \sqrt{-1}\sqrt{4}}{2}$

$x=\dfrac{2\pm 2i}{2}$

$x=\dfrac{2(1\pm i)}{2}$

$x=1\pm i$

Therefore, the real zero is 0 and the complex zeros are 1+i and 1-i.

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3 years ago