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dmitriy555 [2]
3 years ago
9

Consider the two functions shown here. What is the rate of change of each function?

Mathematics
1 answer:
Katarina [22]3 years ago
7 0
The rate of change is the same as the slope.

Let's find the slope of function 1 using the Rise Over Run rule.
The rise is 2 and run is 1. So your rate of change is 2/1 or 2 for function 1

Function 2 is a y = mx + b equation, the slope is usually "m" or before the x
y = 1/2x + 7
1/2 is your rate of change for function 2
You might be interested in
Rewrite in simplest terms: -3(s – 10) + 7(-2s – 1)
erik [133]

-3(s-10)+7(-2s-1)

-3s+30+(-14s-7)

5 0
2 years ago
Read 2 more answers
Using your answer from part (b) and inequality symbols, write one statement that shows the relationship among all of the numbers
Natali5045456 [20]

Answer:

(b) Least to greatest numbers are -1.0, -\frac{1}{4} , 0, 0.5, 1.5

(c) -1.0 <  -\frac{1}{4}  < 0 < 0.5 < 1.5

OR

1.5 > 0.5 > 0 >  -\frac{1}{4}  > -1.0

Step-by-step explanation:

P.S - The exact question is -

Given - Kendra collected data for her science project. She surveyed

             people asking them how many hours they sleep during a

             typical night.

             The chart below shows how each person’s response compares

              to 8 hours (which is the answer she  expected most people to say).

Name                Number of Hours                       Compared to Hours

                         (usually slept each night)

Frankie                        8.5                                                    0.5

Mr. Fields                      7                                                      −1.0

Karla                             9.5                                                     1.5

Louis                             8                                                         0

Tiffany                            7\frac{3}{4}                                                       -\frac{1}{4}

To find - (a) Plot and label each of the numbers in the right-most column

                   of the table above on the number line below.

               (b) List the numbers from least to greatest.

                (c) Using your answer from part (b) and inequality symbols,

                     write one statement that shows the relationship  among all

                     of the numbers.

Proof -

(a)

We can see that the numbers in the right-most column are  0.5, -1.0, 1.5, 0, -\frac{1}{4}

We can write -\frac{1}{4} = -0.25

Now,

We have to label them in the number line

The number line is as follows :

(b)

Least to greatest numbers are -1.0, -\frac{1}{4} , 0, 0.5, 1.5

(c)

By using inequality symbol, we get

-1.0 <  -\frac{1}{4}  < 0 < 0.5 < 1.5

OR

1.5 > 0.5 > 0 >  -\frac{1}{4}  > -1.0

5 0
3 years ago
Find the distance between X(-3, 8) and Z(-1,5) *<br> what is it :’)
ahrayia [7]
Answer:

d = √13

Step-by-step explanation:

d = √((x2 - x1)² + (y2 - y1)²)

points: (-3, 8) & (-1, 5)

d = √((-1 - -3)²+(5 - 8)²)

d = √(2)²+(-3)²

d =√(4 + 9)

d = √13



7 0
3 years ago
Find the volume of the cone. Use 3.14 for π. Round to the nearest tenth.
Leviafan [203]

Volume\,\,of\,\,cone=1527.1\,\,cm^3

So, Option C is correct.

Step-by-step explanation:

We need to find Volume of cone.

We are given:

π = 3.14

Length = 27 cm

Diameter = 15 cm

The formula used to find Volume of cone is:

Volume\,\,of\,\,cone=\frac{1}{3}\pi  r^2h

We are given diameter but we need radius in the formula

So, Radius = Diameter/2 = 15/2 = 7.5 cm

We need to find height of cone.

Using Pythagoras theorem:

h^2=p^2+b^2\\ (27)^2=p^2+(7.5)^2\\729=p^2+56.25\\p^2=729-56.25\\p^2=672.75\\Taking\,\,square\,\,root:\\p=25.93

So, Height of cone = p= 25.93

So, r= 7.5 and h= 25.93 and π = 3.14

Putting values in the formula:

Volume\,\,of\,\,cone=\frac{1}{3}3.14*(7.5)^2*25.93

Volume\,\,of\,\,cone=1526.62

Rounding off to the nearest tenth:

Volume\,\,of\,\,cone=1527.1\,\,cm^3

So, Option C is correct.

Keywords: Volume of cone.

Learn more about Volume of cone at:

  • brainly.com/question/12497249
  • brainly.com/question/6443737

#learnwithBrainly

6 0
3 years ago
Which of the following equations is an example of inverse variation between variables x and y ?
Mademuasel [1]
The option C) y = 15/x

a) y = 15 x is an example of direct variation, with proportionality constant = 15

b) is an example of linear variation (it is the equation of a straight line that does not pass through the origin)

c) y = 15/x => y*x = 15 = constant which is the characteristic of an inverse relation

d) y = x/15 is an example of an inverse relation, with proportion constant = 1/15 
3 0
3 years ago
Read 2 more answers
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