3 years ago

What is the equation of the line, in slope-intercept form, that passes through (4.2) and (-2, -3)?

Mathematics

1 answer:

Keith_Richards [23]3 years ago

3 0

Answer:

y = 5/6x + -8

Step-by-step explanation:

you first need to find the gradient using the formula m = (y2 - y1)/(x2 - x1)

the gradient would be 5/6.

the slope intercept form equation is y = mx + c. so by taking one of the points, 2 = 5/6(4) + c

12 = 5(4) + c

12 = 20 + c

c = 12 - 20

c = -8

hence, y = 5/4x + -8

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Find the inverse of f(x)=(x−5)/(−4x−2)

uysha [10]

Answer:

${f}^{ - 1} (x)= \frac{ 5 - 2x }{ 4x + 1}$

Step-by-step explanation:

The given rational function is

$f(x) = \frac{x - 5}{ - 4x - 2}$

Let

$y = \frac{x - 5}{ - 4x - 2}$

Interchange x and y

$x= \frac{y- 5}{ - 4y - 2}$

Cross multiply

$x( - 4y - 2)= y- 5$

Expand

$- 4xy - 2x= y- 5 \\ - 4xy - y= 2x - 5 \\y( - 4x - 1)= 2x - 5$

Solve for y;

$y= \frac{ 2x - 5}{ - 4x - 1}$

$y= \frac{ 5 - 2x }{ 4x + 1}$

Therefore

${f}^{ - 1} (x)= \frac{ 5 - 2x }{ 4x + 1}$

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3 years ago

(5v +37v2 - 80v - 69)/(v+9)

valina [46]

Answer:

-67-80v

Step-by-step explanation:

hope this helps!

3 0

3 years ago

The scale of a model airplane is 1:72. If the wingspan on the model airplane is 7.5 inches, then the wingspan of the actual airp

svp [43]

Answer:

45 feet

Step-by-step explanation:

Use ratios:

$\frac{1}{72}= \frac{7.5}{x}$

x = 540 inches

divide by 12 to get 45 feet

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2 years ago

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What is the equation of the graphed line?

labwork [276]

Y=.25x is the only resonable answer

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3 years ago

Which function represents the area with respect to time?

zhuklara [117]

It’s C I think but I am not sure about it

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