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photoshop1234 [79]

3 years ago

13

How do i get the solution to graph 2x+3y=12

1 answer:

Pavel [41]3 years ago

7 0

2x + 3y = 12

I am going to put this in y = mx + b form, where m is ur slope and b is ur y intercept.
2x + 3y = 12
3y = -2x + 12
y = -2/3x + 4......slope is -2/3 and y int is (0,4)

x int can be found by subbing in 0 for y and solving for x
2x + 3y = 12
2x + 3(0) = 12
2x = 12
x = 6.....so x int is (6,0)

start at y int (0,4).....and since the slope is -2/3, come down 2 spaces, and to the right 3 spaces, then down 2 spaces, to the right 3 spaces....keep doing that and u should cross the x axis at (6,0)

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Find the inverse of the function. f(x) = 7x + 8

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Answer:

$\frac{x-8}{7}$

Step-by-step explanation:

A way to find the inverse function is to swap the x and y (f(x)) in the equation.

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We can check that it is an inverse function by using a property of inverse functions:

$f(g(x)) = x$

If we plug in the f(x) function into the variable x of the inverse function, we should end up with x

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A scientist is growing bacteria in a lab for study. One particular type of bacteria grows at a rate of y=2t^2+3t+500. A differen

Leya [2.2K]

ANSWER

Approximately after 15 minutes.

EXPLANATION

The growth rate of the first bacteria is

$y = 2 {t}^{2} + 3t + 500$

The growth rate of the first bacteria :

$y = 3 {t}^{2} + t + 300$

To find the time that, there will be an equal number of bacteria, we equate the two equation;

$3 {t}^{2} + t + 300 = 2 {t}^{2} + 3t + 500$

$3 {t}^{2} - 2 {t}^{2} + t - 3t + 300 - 500 =00$

${t}^{2} - 2t - 200= 0$

We solve for t to get,

$t = 15.177$

Or

$t = - 13.177$

We discard the negative value.

This implies that,

$t \approx15$

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