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3 years ago

Which fraction shows a correct way to set up the slope formula for the line containing (2, -4) and (-6, 1)?

Mathematics

1 answer:

Nostrana [21]3 years ago

5 0

Answer:

Step-by-step explanation:

slope=y2-y1/x2-x1

here x1=2 , y1=-4 , x2=-6 , y2=1

=1-(-4)/2-(-6)

=1+4/2+6

=5/8

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The plot below shows the graphs of three functions, f, g, and h, all of which determine the population of three different cities

monitta

So, here we have an exponential function.

Remember that an exponential function has the form:

$y=a(b)^x=a(1\pm\frac{r}{100})^x$

Where a represents an initial amount, and r is the rate of this amount to change. (Increase, or decrease).

So, given that the population of City A in 2000 was 40 thousand people and the population increased by 13% each year, we can say that

$\begin{gathered} a=40 \\ b=1+\frac{13}{100}=1.13 \end{gathered}$

So,

$f(x)=40(1.13)^x$

For city B:

$\begin{gathered} a=40 \\ b=1+\frac{16}{100}=1.16 \\ g(x)=40(1.16)^x \end{gathered}$

But something different happens with city C. This is not an exponential function, this is a linear function.

So,

$h(x)=40+10x$

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1 year ago

a student has a savings account with $475 in it. she deposits $125 of her paycheck into the account every week.

soldier1979 [14.2K]

Answer:

350

Step-by-step explanation:

you just have to subtract ibthink

8 0

3 years ago

mandy's bird feeder holds 2/3 of a cup of birdseed. mandy is filling the bird feeder with a scoop that holds 1/6 of a cup. how m

kap26 [50]

(2/3) / (1/6) ...when dividing fractions, flip what u r dividing by, then multiply
2/3 * 6/1 = 12/3 = 4 scoops

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3 years ago

You invest 1,600 in an account that pays an interest rate of 6.5% compounded continuously calculate the balance after 6 years

tangare [24]

The amount A when the principal P is compounded continuously is given by the formula :

$A=P E^{rt}$

Here r is rate of interest and t is time .

In the question P=1600 ,r=6.5%=0.065 ,t= 6 years

Substituting these values in the formula

$A=(1600) e^{0.065 times 6}$

A= 1600(1.48)

A=2363.17

Balance after 6years is $2363.17

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3 years ago

What was the population of south Australia closest to in 2003?

Brrunno [24]

It would be 1531600

How I did it
First I divided the percentage by 100. Example >> 0.6/100= 0.006
Then I took 2002 population >> 1522475 + 0.006 x 1522475 = 1531609.85

6 0

3 years ago

Read 2 more answers