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IgorLugansk [536]
3 years ago
5

The product of -2 and a number minus six is greater than -18

Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0

So, its a multiplying question - the product. Also there are multiple answers from x = negative anything to positive 14, so i chose a number.

The product of -2 and a number minus six is greater than -18.

-2 · (x - 6) > -18

-2 · (7 - 6) > -18

-2 · (1) > -18

-2 > -18

x = 7, or anything lower than 15.

On the number line btw, -2 is bigger than -18

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A line goes through the points (-6, -8) and (12, 7). a) What is the slope of the line? Show your work. b) Write the equation of
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m = \frac{5}{6} , y - 7 = \frac{5}{6} ( x - 12), y = \frac{5}{6} x - 3

(a) calculate the slope using the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂) = (12, 7)

m = \frac{7+8}{12+6} = \frac{15}{18} = \frac{5}{6}

(b) the equation of a line in point-slope form is

y - b = m(x - a )

where m is the slope and (a, b) a point on the line

using m = \frac{5}{6} and (a , b) = (12, 7 )

y - 7 = \frac{5}{6} (x - 12)

(c) the equation of a line in slope-intercept form is

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

rearrange (b ) into this form

y - 7 = \frac{5}{6} - 10

y = \frac{5}{6} x - 3


3 0
3 years ago
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