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3 years ago

Let g(x) = -5/?. Find g(g(-1))

Mathematics

1 answer:

IRISSAK [1]3 years ago

7 0

Answer:

-1

Step-by-step explanation:

g(-1) = -5/-1 = 5

g(5) = -5/5

g(g(-1)) = -1

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Step-by-step explanation:

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2 years ago

If y varies directly as x and y = 24 when x= 16, what is y when x = 50?

mars1129 [50]

Answer:

$y = 75$

Step-by-step explanation:

Given

$y\ \alpha\ \ x$

$y=24; x =16$

Required

Find y when $x = 50$

We have:

$y\ \alpha\ \ x$

Express as equation

$y = kx$

Solve for k

$k = \frac{y}{x}$

When $y=24; x =16$

$k = \frac{24}{16}$

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3 0

3 years ago

Write the equation of the line that passes through the points

sesenic [268]

Answer:

$y+5=2(x-3)$ or $y+9=2(x-1)$

Step-by-step explanation:

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(3,-5) and (1,-9)

substitute the values

$m=\frac{-9+5}{1-3}$

$m=\frac{-4}{-2}$

$m=2$

step 2

Find the equation in point slope form

$y-y1=m(x-x1)$

Analyze two cases

First case

we have

$m=2$

$point\ (3,-5)$

substitute

$y+5=2(x-3)$

Second case

we have

$m=2$

$point\ (1,-9)$

substitute

$y+9=2(x-1)$

Note: The equation of the line in point slope form varies according to the point you choose, in contrast to the slope-intercept form

6 0

2 years ago