All categories

2 years ago

Graph the line that has a slope of 1/4 and includes the point (0,8)

Mathematics

1 answer:

Alex787 [66]2 years ago

3 0

Step-by-step explanation:

Equation of line:

$y = mx + c$

where m is the slope

and c is the y-intercept (the value of y when x = 0)

In this case, given the slope = 1/4

and y-intercept is 8 (from the point (0,8))

The equation of the following line is:

$y = \frac{1}{4} x + 8$

You might be interested in

How much water does Brian put in the fish tank?

Flauer [41]

It depends on how big the fish tank is. I need the image

8 0

2 years ago

Mike forgot to replace the cap on a bottle of room freshener. The room freshener began to evaporate at the rate of 15% per day.

Serggg [28]

For this case we have a function of the form:
$y = A * (b) ^ x
$
Where,
A: initial amount
b: decrease rate
x: time in days
Substituting values we have:
$y = 40 * (0.85) ^ x
$
Therefore, the graph of the function is a decreasing exponential function in the first quadrant and that has an initial value of 40.
Answer:
graph of exponential function going from left to right in quadrant 1 through the point 0, 40 and approaching the x axis

7 0

3 years ago

How do the graphs of the functions f(x)=<img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B2%7D%29%5Ex" id="TexFormula1" titl

grin007 [14]

Step-by-step explanation:

f(x) = (3/2)ˣ

g(x) = (2/3)ˣ

These are examples of exponential equations:

y = a bˣ

If b > 1, the equation is exponential growth.

If 0 < b < 1, the equation is exponential decay.

So f(x) is an example of exponential growth, and g(x) is an example of exponential decay.

Also, 2/3 is the inverse of 3/2, so:

g(x) = (3/2)^(-x)

So more specifically, f(x) and g(x) are reflections of each other across the y-axis.

5 0

3 years ago

A survey of physicians in 1979 found that some doctors give a placebo to patients who complain of pain for which the physician c

lisov135 [29]

Below are the few reasons:

- There may have been a physical basis and yet the placebo can seem like it worked due to the patients mindset that they will get better.
<span>- Also, the doctors must not tell the patient that they will be taking a placebo. They must assure the patient that the "pill" will cure their problems.</span>

5 0

3 years ago

What is the inequality to 8 less a number is less than or equal to 17

nlexa [21]

Answer:8>

. .

lol -lol

Step-by-step explanation:

7 0

2 years ago

Graph the line that has a slope of 1/4 and includes the point (0,8)￼

Graph the line that has a slope of 1/4 and includes the point (0,8)