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3 years ago

Find the slope of the line graphed below

Mathematics

2 answers:

Rainbow [258]3 years ago

8 0

Using the form rise/run your graph has a slope of 1/2 with a y-intercept of 1

irina1246 [14]3 years ago

7 0

Answer:

Up one over two = m<rise/run = 1/2

Step-by-step explanation:

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The cost of renting a table at the flea market is based on a fixed price per day plus an initial registration fee. If it costs $

Simora [160]

Answer:

c = 15d + 30

Step-by-step explanation:

Hey there!

This can be represented by an equation of a line, where the number of days is our x-values(d), and the price is our y-values(c).

The price for one day ($45) and the price for 4 days($90) are specific points on that line.

The points are (1, 45) and (4, 90).

We can first find the slope of the line:

As the price rises 45, the days increase by 3
Slope = rise/run
Slope = 45/3
Slope = 15

Now we can find the base price, by plugging the slope and a point into the equation y = mx + b.

Solve for b:

y = mx + b
45 = 15(1) + b
45 = 15 + b
30 = b

The base price (b) is 30.

The equation is $\text{\boxed{c = 15d + 30}}$

6 0

2 years ago

Write each product using an exponent: example 6x6==

swat32

Since 6x6 equals 36, then 6² would be the exponent because 6² is the same as 6x6

3 0

3 years ago

One number is 6 greater than another. the product of the number is 55. find the numbers

Basile [38]

Here's how to do this problem:

6+ x= 55
-6 -6
x=49

5 0

3 years ago

At Southside Middle School, 20% of the students play an instrument. There are 305 students. How many students play an instrument

stellarik [79]

61 students

.2x305= 61

4 0

3 years ago

Read 2 more answers

The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.3 in/s. At

Angelina_Jolie [31]

Answer:

The volume is changing at a rate given by:

$\frac{dV}{dt} =19559.56\,\,\frac{in^3}{s}$

Step-by-step explanation:

Let's recall the formula for the volume of acone, since it is the rate of the cone changing what we need to answer:

Volume of cone = $\frac{1}{3} B\,*\,H$

where B is the area of the base (a circle of radius R) which equals = $\pi\,R^2$

and where H stands for the cone's height.

We apply the derivative over time operator ( $\frac{d}{dt}$ ) on both sides of the volume equation, making sure that we apply the rule for the derivative of a product:

$V=\frac{1}{3} B\,*\,H\\\\V= \frac{1}{3} \pi\,R^2\,H\\\frac{dV}{dt} =\frac{\pi}{3}\,( \frac{d(R^2)}{dt} H+R^2\,\frac{dH}{dt} )\\\frac{dV}{dt} =\frac{\pi}{3}\,( 2\,R\,\frac{dR}{dt}\, H+R^2\,\frac{dH}{dt} )\\\frac{dV}{dt} =\frac{\pi}{3}\,( 2\,(110\,in)(1.4\,\frac{in}{s} )\,(151\,in)+(110\.in)^2\,(-2.3)\frac{in}{s} )\\\frac{dV}{dt} =19559.56\,\,\frac{in^3}{s}$

8 0

3 years ago