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solmaris [256]
3 years ago
13

Please help me with this problem! I don't understand!

Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0

Answer:

y = -3/2 x + 3

Step-by-step explanation:

If two lines' slopes multiply to get -1, they are perpendicular to each other.

In -6x+9y-12=0, find the slope by converting to slope-intercept form.

Isolate y:

-6x+9y-12=0

-6x+9y = 12

9y = 6x + 12

y = 6/9 x + 12/9

y = 2/3 x + 4/3

The slope in this line is 2/3.

To find the slope of a perpendicular line, find its negative reciprocal. The negative reciprocal is when you switch the top and bottoms numbers and multiply it by -1.

2/3 => -3/2

The slope of the perpendicular line is -3/2.

In -8x+2y-6=0, find the y-intercept by converting to slope-intercept form.

Isolate y:

-8x+2y-6=0

-8x + 2y = 6

2y = 8x + 6

y = 8/4 x + 6/2

y = 2x + 3

Slope-intercept form is y = mx + b, which b is the y-intercept.

The y-intercept is 3.

Substitute the slope and y-intercept values into the equation of a line in  slope-intercept form.

y = mx + b

y = -3/2 x + 3

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Step-by-step explanation:

From the given table we can see that this is not representing a linear function as the rate of change is not constant.

So it can be exponential growth function A(b)^{n-1},  where A is the initial amount , b is the multiplicative rate of growth and n is the time period in weeks.

Now here at n=1 , f(n)=8

Therefore, A=8

Now, for n=2

f(2)=8(b)^{2-1}\\\Rightarrow12=8b\\\Rightarrow\ b=\frac{12}{8}\\\Rightarrow\ b=1.5

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