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Zarrin [17]
2 years ago
6

Linear relationships are important to understand because they are common in the world around you. For example, all rates and rat

ios are linear relationships. Miles per gallon is a common rate used to describe the number of miles a car can travel on one gallon of gasoline. Dollars per gallon, or the price of gas, is a linear relationship as well. What other relationships can you think of that are linear? How do they affect your everyday life?
​
Mathematics
1 answer:
emmasim [6.3K]2 years ago
6 0

Two other examples of linear relationships are changes of units and finding the total cost for buying a given item x times.

<h3>Other examples of linear relationships?</h3>

Two examples of linear relationships that are useful are:

Changes of units:

These ones are used to change between units that measure the same thing. For example, between kilometers and meters.

We know that:

1km = 1000m

So if we have a distance in kilometers x, the distance in meters y is given by:

y = 1000*x

This is a linear relationship.

Another example can be for costs, if we know that a single item costs a given quantity, let's say "a", then if we buy x of these items the total cost will be:

y = a*x

This is a linear relationship.

So linear relationships appear a lot in our life, and is really important to learn how to work with them.

If you want to learn more about linear relationships, you can read:

brainly.com/question/4025726

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Your parents gave you a gift card for your favorite coffee shop. The card was worth $50 when you got it. Each day, you buy a dri
nekit [7.7K]

Answer:

B. y=-3x+50

Step-by-step explanation:

Let x be number of days and y be value of card.  

It has been given that your parents gave you a gift card for your favorite coffee shop. The card was worth $50 when you got it. Each day, you buy a drink for $3.  

We can see that value of card is dependent on number of days as value of card decrease by 3 each day. This means that slope of our line will be -3.

As initially you have $50, this means that y-intercept of our given line will be 50.

Since we know that equation of a line in slope-intercept form is: y=mx+b, where,

m = Slope of line.

b = y-intercept.

Upon substituting our given values in slope intercept form of equation we will get,

y=-3x+50

Therefore, the equation y=-3x+50 shows the value on the gift card over time.



8 0
3 years ago
Read 2 more answers
Please help with only the circled ones (1-8)
mixas84 [53]

When you have an exponent divided by another exponent, you subtract the exponents (only when it has the same base)

For example:

\frac{x^8}{x^3} =x^{8-3}=x^5

\frac{x^3}{x^2} =x^{3-2}=x^{1}  


When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive

For example:

x^{-2}=\frac{1}{x^2}

\frac{1}{x^{-5}}=\frac{x^5}{1} = x^5

\frac{y^{-2}}{x^{-1}} =\frac{x^1}{y^2} =\frac{x}{y^2}


1. \frac{10^{15}}{10^3} =10^{15-3} = 10^{12}


2. \frac{(-3)^4}{(-3)^{-3}} =(-3)^{4-(-3)}=(-3)^{4+3} = (-3)^7


3. \frac{8}{8^3} =8^{1-3} = 8^{-2}=\frac{1}{8^2}


4. \frac{a^{12}}{a^2} =a^{12-2}=a^{10}


5. \frac{m^{-2}n^{16}}{m^{4}n^2} =(m^{-2-4})(n^{16-2})=(m^{-6})(n^{14})=\frac{n^{14}}{m^{6}}

This is one of the ways you could have done it


6. \frac{p^5q^{-10}}{p^6q^{-2}} =(p^{5-6})(q^{-10-(-2)})=(p^{-1})(q^{-8})=\frac{1}{p^1q^8} =\frac{1}{pq^8}


7. \frac{63x^{18}}{9x^{2} }   Divide 63 and 9

\frac{7x^{18}}{x^{2}} =(7)(x^{18-2})=(7)(x^{16})=7x^{16}


8. \frac{28r^4}{-7r^{15}} =(\frac{28}{-7} )(r^{4-15})=(-4)(r^{-11})=(-4)(\frac{1}{r^{11}} )=\frac{-4}{r^{11}}


[More information with exponents]

If you multiply an exponent directly with another exponent, you multiply the exponents together

For example:

(x^{2})^4=x^{2(4)}=x^8

(x^{3})^5 =x^{3(5)}=x^{15}


If you multiply a variable with an exponent by a variable with an exponent, you add the exponents

For example:

(x^{2}) (x^6)=x^{2+6}=x^8

(x^{3})(x^1)=x^{3+1}=x^4

3 0
3 years ago
Anna paid to have 5 dozen roses delivered. Each dozen roses cost $19.99. Anna paid $14.50 for delivery. What is the total amount
Gala2k [10]
34.5 is the answer I think
7 0
3 years ago
a cat measures 76 cm from its nose to its tail the length of a lion is 3 times as long as a car how long is a lion? Give your an
xenn [34]

Answer:

ok so if the lion is 3 times bigger we have to multiply the length of the cat by

3

3*76=228

so the lion is 228 cm long

now we divide by 100 for meters

228 divided by 100=2.28 meters

Hope This Helps!!!

8 0
3 years ago
Read 2 more answers
I need help please, Last ones!
uysha [10]

Answer:

Step-by-step explanation:

Can u help me on the joy with milk please

5 0
3 years ago
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