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3 years ago

Really need help..... number 14:)

Mathematics

1 answer:

Soloha48 [4]3 years ago

4 0

Without the actually predicted values in comparison to the real values it is only possible to give a very likely answer based on their scale:
a) is 25 million off, which sounds bad but when compared to a few billion in population it's not even 1%
b)3 billion is more than half the world population as error: very unlikely
c)154 billion, unlikely that a prediction is off by a factor of ~30
d)same as c

so a) is most likely the solution, but in theory the predictions could be arbitrarily bad (things like negative population, or extreme growths)

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4 years ago

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Which of the following are solutions to the equation below?

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Answer:

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=3,\:x=-\frac{1}{2}$

Step-by-step explanation:

considering the equation

$2x^2\:-\:4x\:-\:3\:=\:x$

solving

$2x^2\:-\:4x\:-\:3\:=\:x$

$2x^2-4x-3-x=x-x$

$2x^2-5x-3=0$

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}$

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=2,\:b=-5,\:c=-3:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}$

solving

$x=\frac{-\left(-5\right)+\sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}$

$x=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}$

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also solving

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$x=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}$

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$x=3,\:x=-\frac{1}{2}$

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3 years ago

What is the equation of the line that passes through (5, 3) and (4, 5)

lara31 [8.8K]

Answer:

y = - 2x + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (5, 3) and (x₂, y₂ ) = (4, 5)

m = $\frac{5-3}{4-5}$ = $\frac{2}{-1}$ = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 5), then

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3 years ago

Lee ran a mile in 7 1/3 minutes. His friend Sam ran the same mile in 8 5/9 minutes. How many minutes faster did Lee run? (First

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Answer:

1 2/9 minutes faster

Step-by-step explanation:

Take the larger number and subtract the smaller number

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8 5/9 - 7 3/9

1 2/9 minutes faster

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3 years ago

Given RT below, if S lies on RT such that the ratio of RS to ST is 3:1, find the coordinates of S.

Ksivusya [100]

Answer:

S(-2, -3)

Step-by-step explanation:

Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;

S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;

x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1

Substitute the values into the formula;

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X = 3(-1)+1(-5)/3+1

X = -3-5/4

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Similarly;

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Y = -15+3/4

Y = -12/4

Y = -3

Hence the coordinate of the point (X, Y) is (-2, -3)

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3 years ago