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german
3 years ago
5

Help with this graph pleaseeeee

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
5 0

Answer:

y = 1/2x +2.5

Step-by-step explanation:

By looking at the graph, we can see that the y-intercept is 2.5.

To find the slope, we know that m = rise over run.

rise = 1

run = 2

1 divided by 2 equals 1/2

so the answer is y = 1/2x +2.5

Hope this helped

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The length and
Iteru [2.4K]

Answer:

42 yards

Step-by-step explanation

There are 4 sides to a rectangle. 2 lengths, and 2 widths. That means that you multiply both values by 2 and then add them together, so 40 + 2. A more basic way to think of it is 20+20+1+1. Therefore, the perimeter is 41 yards.

7 0
3 years ago
Complete the following ratio table so that each pair represents the same rate.
Sergio [31]
51 so I hope that help you in the long turm
8 0
2 years ago
Read 2 more answers
Read the word problem below. Jill had $90. She bought a skirt that normally costs $42 but was on sale for half price. She also b
Likurg_2 [28]

Answer:

What was the regular price of the T-shirt?

  • $18

What question is being asked in this word problem?

  • what is the regular cost of the t-shirt purchased by Jill.

What is the regular price of the skirt?

  • $42

How much money does Jill have left?

  • without considering sales tax, Jill has $90 - $31 = $59 left.
  • If I use the sales tax from where I live, the sales tax = $1.86, so the money that Jill will have left = $59 - $1.86 = $57.14

How much does the T-shirt normally cost?

  • $18 (same as question 1)

What is the amount Jill pays in sales tax?

  • since you do not include the sales tax % in the question, I will simply use the sales tax from where I live = $31 x 6% = $1.86

Step-by-step explanation:

skirt $21

t-shirt = p - $8

before sales tax, total cost was $31

$21 + p - $8 = $31

p = $18

7 0
3 years ago
Determine whether the given ordered pair is a solution to the given equation. <br> (0,-5) x+4y=-20
svetoff [14.1K]

yes

Substitute x and y into the

equation  we have

0+4 .(-5)=-20

<=>-20=-20

satisfy the condition

6 0
3 years ago
HELP!! 50 POINTS!!!
aalyn [17]

Step-by-step explanation:

We have been given a table, which represents the projected value of two different houses for three years.


Part A:

\text{Increase in value of house 1 after one year}=294,580-286,000

\text{Increase in value of house 1 after one year}=8580

\text{Increase in value of house 1 after two years}=303,417.40-294,580

\text{Increase in value of house 1 after two years}=8837.4

We can see from our given table that the value of house 1 is not increasing at a constant rate, while a linear function has a constant rate of change, therefore, an exponential function can be used to describe the value of the house 1 after a fixed number of years.

\text{Increase in value of house 2 after one year}=295,000-286,000

\text{Increase in value of house 2 after one year}=9,000

\text{Increase in value of house 2 after two years}=304,000-295,000

\text{Increase in value of house 2 after two years}=9,000

We can see from our given table that the value of house 2 is increasing at a constant rat that is $9,000 per year. Since a linear function has a constant rate of change, therefore, a linear function can be used to describe the value of the house 2 after a fixed number of years.

Part B:

Let x be the number of years after Dominique bought the house 1.

Since value of house 1 is increasing exponentially, so let us find increase percent of value of house 1.

\text{Increase }\%=\frac{\text{Final value-Initial value}}{\text{Initial value}}\times 100

\text{Increase }\%=\frac{294,580-286,000}{286,000}\times 100

\text{Increase }\%=\frac{8580}{286,000}\times 100

\text{Increase }\%=0.03\times 100

\text{Increase }\%=3

\text{Increase }\%=\frac{303,417.40-294,580}{294,580}\times 100

\text{Increase }\%=\frac{8837.4}{294,580}\times 100

\text{Increase }\%=0.03\times 100

\text{Increase }\%=3

Therefore, the growth rate of house 1's value is 3%.

Since we know that an exponential function is in form: y=a*b^x, where,

a = Initial value,

b = For growth b is in form (1+r), where, r is rate in decimal form.

3\%=\frac{3}{100}=0.03

Upon substituting our values in exponential function form we will get,

f(x)=286,000(1+0.03)^x, where, f(x) represents the value of the house 1, in dollars, after x years.

Therefore, the function f(x)=286,000(1.03)^x represents the value of house 1 after x years.

Let x be the number of years after Dominique bought the house 2.

We can see that when Dominique bought house 2 it has a value of $286,000. This means that at x equals 0 value of house will be $286,000 and it will be our y-intercept.

Since value of house 2 is increasing 9000 per year, therefore, slope of our line be 9000.

Upon substituting these values in slope-intercept form of equation (y=mx+b) we will get,

f(x)=9000x+286,000, where, f(x) represents the value of the house 2, in dollars, after x years.

Therefore, the function f(x)=9000x+286,000 represents the value of house 2 after x years.

Part C:

Since values in exponential function increases faster than linear function, so the value of house 1 will be greater than value of house 2.

Let us find the value of house 1 and house 2 by substituting x=25 in our both functions.

f(25)=286,000(1.03)^{25}

f(25)=286,000*2.0937779296542148

f(25)=598820.48788

We can see that value of house 1 after 25 years will be approx $598,820.48.

f(25)=9000*25+286,000

f(25)=225,000+286,000

f(25)=511,000

We can see that value of house 2 after 25 years will be approx $511,000.

Since $511,000 is less than $598820.48, therefore, value of house 1 is greater than value of house 2.

6 0
3 years ago
Read 2 more answers
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