Mathematics, 10.03.2021 19:30 ariannanykole1

As the Cave explorer was climbing back to the surface, he recorded his height along with the change in elevation, he wrote this as an expression. -600 - (-50) Explain his expression in terms of elevation, elevation change and why he wrote it the way he did.

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Answer from: Thejedipriest9929

Kindly check explanation

Step-by-step explanation:

Given the expression : -600 - (-50) as explorer climbs back to the surface :

In terms of elevation :

-600 represents the initial position below the surface.

The Change in elevation from his initial position is - 50 (though the climber is moving towards the surface) ; the negative sign depicts that he is still below the surface.

Hence,

-600 - (-50)

= - 600 + 50

= - 610

Hence, the explorer moved an elevation of - 50 in the upward direction from his initial position of - 600 ; Hence, his position is - 610 ; which is still beneath the surface

Answer from: Quest

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

Answer from: Quest

answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where, $a = \frac{\sum y \sum x^2 - \sum x\sum xy}{n\sum x^2 - (\sum x)^2}$

here given table is,

price ($), x : 18 23 25 29 30 33

pairs sold, y : 16 13 10 8 6 2

so, $\sum x = 158$ , $\sum y = 55$ , $\sum xy = 1315$ ,

$\sum x^2 = 4308$ and $\sum y^2 = 629$ ,

thus, slop of the given line is,

$a = \frac{55\times 4308-158\times 1315}{6\times 4308-(158)^2}$

⇒ $a = \frac{29170}{884}$

⇒ $a =32.9977375566$ ≈ 33

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As the Cave explorer was climbing back to the surface, he recorded his height along with the change...

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