What is an equation of the line that passes through the points (-4,-2) and (8, 1)?

Mathematics

1 answer:

stiv31 [10]2 years ago

7 0

Answer:

y=1/4x-1

Step-by-step explanation:

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Write a function rule: The output is 3 less than five times the input..

BartSMP [9]

Answer:

y = 5x - 3

Step-by-step explanation:

5 times the input indicates multiplication, and the 3 less indicates subtraction.

5 0

3 years ago

If $130 is invested in a savings account that earns 4% interest per year, which of the following is closest to the amount in the

koban [17]

A=130×(1+0.04)^(10)
A=192.43

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3 years ago

The product of 8/15, 6/5,1/3 is

Debora [2.8K]

Product is the result of multiplying the numbers, so the product of 8/15, 6/5,1/3 means that we have to multiply the three numbers, like this:

$\frac{8}{15} * \frac{6}{5} * \frac{1}{3}$
let's make them into one fraction:

$\frac{8*6*1}{15*5*3}$

We can simplyfy:

 $\frac{8*6}{15*5*3}$


 $\frac{8*2}{15*5}$

and multiply:

 $\frac{16}{75}$

and this is the correct answer!

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3 years ago

If f(x)=1/9x-2, what is f-1(x)

aleksandr82 [10.1K]

To find the inverse of f(x), you solve for the independent variable, x, and then swap the variable labels. The reason for doing so is easily seen if one remembers what an inverse function really is. The inverse function will produce the opposite coordinate as the parent function. If f(x)=(x,y), f^-1(x)=(y,x), so the inverse function simply creates the inverse of all of the points that exist for f(x)...with that out of the way, let y=f(x), then:

y=1/(9x-2) (I am trying to decipher what you actually meant to type)

Multiply both sides by (9x-2)

y(9x-2)=1 divide both sides by y

9x-2=1/y add 2 to both sides

9x=1/y+2 which is equal to

9x=(1+2y)/y divide both sides by 9

x=(1+2y)/(9y) now switch labels...

y=(1+2x)/(9x)

f^-1(x)=(1+2x)/(9x)

Again, I am not sure that I understood what you meant to type for the equation... strictly as typed you actually have:

y=x/9-2 which can be written as:

y=(x-18)/9 multiply both sides by 9

9y=x-18 add 18 to both sides

9y+18=x then switch labels

y=9x+18

f^-1(x)=9x+18

The denominator must be made clear in this format by using () brackets, otherwise it is anyone's guess...

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3 years ago

The Table below gives you The population of Texas since 1970. Find the average rate if change from 1970 to 1090

ruslelena [56]

Answer:

Average rate of change = 0.29 million per year

Step-by-step explanation:

Average rate of change in the population from year 1970 to year 1900 is given by the formula,

Average rate of change = $\frac{\text{Population in year 1990-Population in year 1970}}{1990-1970}$