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3 years ago

Find an equation of the line having the given slope and containing the given point.

Mathematics

1 answer:

saul85 [17]3 years ago

4 0

Answer:

$y = 4x - 12$

Step-by-step explanation:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept(value of x when y = 0).

In this question:

Slope 4, which means that $m = 4$ .

$y = 4x + b$

Contains point (1,-8).

This means that when $x = 1, y = -8$ . We replace this into the equation to find b. So

$y = 4x + b$

$-8 = 4(1) + b$

$b = -12$

$y = 4x - 12$

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Tami thought that the perimiter is length plus width, which gave her 100. The actual width is 20

5 0

3 years ago

28. sylvia researched changes in the deer population in her state's parks during her lifetime

kifflom [539]

Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.

<h3>What is an exponential function?</h3>

An exponential function is modeled by:

$y = ab^x$

In which:

a is the initial value.

b is the rate of change, as a decimal.

In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:

$A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}$

The population will be of 600 when A(t) = 600, hence:

$A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}$

$600 = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}$

$\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{600}{4800}$

$\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{1}{8}$

$\left(\frac{1}{2}\right)^{\frac{t}{8}} = \left(\frac{1}{2}\right)^3$

Hence:

t/8 = 3.

t = 24.

It will take 24 years for the current population of 4800 deer to reduce to 600.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

3 0

1 year ago

If 6/10r=6/7, then what is r?

crimeas [40]

Answer:

Answer is 10/7

Step-by-step explanation:

[tex] (\frac{6}{10} )r = \frac{6}{7} \\ cancelling \: 6 \: on \: both \: sides \\ (\frac{1}{10} )r = \frac{1}{7} \\ \frac{r}{10} = \frac{1}{7} \\ r = \frac{10}{7} \: \\

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

7 0

2 years ago

Where would fraction 22/11 belong on a #6 number line

pickupchik [31]

22/11 is equal to 2
So, it would be where 2 is on the number line.

6 0

3 years ago

pioneers are buying mules to trek across the country. each of the 5 wagons require e mules to pull them. write the equation to e

tekilochka [14]

Answer:

d = 5e

Step-by-step explanation:

Number of wagons = 5

Number of miles per wagon = e

Total number of mules = d

Hence, relationship between total mules d needed will be ;

Total mules = number of wagons * Numbe rof mules per wagon

d = 5e

4 0

2 years ago