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2 years ago

6

write an equation in point-slope form for the line that has a slope of 15 and contains the point (2,−9).

1 answer:

Lorico [155]2 years ago

6 0

Answer:

y +9 = 15(x -2)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

y -k = m(x -h) . . . . . . for slope m and point (h, k)

Here, you are given m=15 and (h, k) = (2, -9). Putting these values into the form gives the equation ...

y +9 = 15(x -2)

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A shop has determined that the number of bottles of water they sell on a summer day is a function of the day’s high temperature,

Alik [6]

Answer:

$T=t+94$

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Explanation:

The table shows that every day the<em> High temperature, T (degrees F) </em>increases 1 unit.

Then, this is a linear function with slope = 1ºF / day.

You can use the point-slope equation to determine the <em>function of the high temperature:</em>

Point-slope equation:

$y-y_1=m(x-x_1)$

Choose any point from the table and m = 1. I will use the first point (1,95)

m = 1

x₁ = 1

y₁ = 95

Substitute:

$y-95=1(x-1)\\\\y=x-1+95\\\\y=x+94$

Make the variables y = T, and x = t:

$T=t+94$

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2 years ago

In an office building, an elevator has a maximum carrying capacity of 2,700 pounds. Based on the average weight (180 pounds male

Yakvenalex [24]

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the number of males on the elevator

y ----> the number of females on the elevator

we know that

The inequality that represent this situation is

$180x+150y\leq 2,700$

The solution of the inequality is the shaded area below the solid line $180x+150y=2,700$

The slope of the solid line is negative

The y-intercept of the solid line is (0,18)

The x-intercept of the solid line is (15,0)

see the attached figure

The solution is the triangular shaded area

The maximum number of females is 18 (when the number of males is zero)

The maximum number of males is 15 (when the number of females is zero)

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