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3 years ago

Which graph shows the solution to this system of inequalities x-3y>3 2x-y<4

Mathematics

2 answers:

Sindrei [870]3 years ago

7 0

Answer with Step-by-step explanation:

We are given system of inequalities:

x-3y>3

2x-y<4

The point (-1,0) lies in the shaded region in graph W

Putting (-1,0) in x-3y>3

-1>3 which is a contradiction

Hence, W is not the graph of this system of inequalities.

The point (2,0) lies in the shaded region in graph Y

Putting (2,0) in x-3y>3

2>3 which is a contradiction

Hence, Y is not the graph of this system of inequalities.

The point (0,2) lies in the shaded region in graph Z

Putting (0,2) in x-3y>3

-6>3 which is a contradiction

Hence, Z is not the graph of this system of inequalities.

Hence,Graph X shows the solution to the system of inequalities

x-3y>3

2x-y<4

butalik [34]3 years ago

3 0

Answer:

Step-by-step explanation:

would be graph x

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3 years ago

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3 years ago

Read 2 more answers

Maureen earned some money doing odd jobs last summer and put it in a savings account that earns 9% interest compounded quarterly

ivolga24 [154]

Answer:

Maureen earned $123.19 doing odd jobs

Step-by-step explanation:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Compounded quarterly means that $n = 4$

10 years, so $t = 10$

9% interest, so $r = 0.09$

There is $300.00 in the account, which means that $A = 300$

How much did Maureen earn doing odd jobs?

This is P.

$A(t) = P(1 + \frac{r}{n})^{nt}$

$300 = P(1 + \frac{0.09}{4})^{4*10}$

$(1.0225)^{40}P = 300$

$P = \frac{300}{(1.0225)^{40}}$

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3 years ago

Harry fills up his Jeep with gasoline and notes that the odometer reading is miles. The next time he fills up his Jeep, he pays

lukranit [14]

Complete question :

Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,568.7 miles. The next time he fills up his Jeep, he pays for 12.6 gallons of gasoline. He notes his odometer reading is 23,706.3 miles. How many miles per gallon did he get?

Answer:

10.9 miles per gallon

Step-by-step explanation:

Given that :

Odometer reading when filled up with gasoline = 23,568.7 miles

Odometer reading with 12.6 gallons of gasoline = 23,706.3 miles

Miles per gallon gotten :

(Current Odometer reading - reading when filled up) / gallon of gasoline

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= 10.9 miles per gallon

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3 years ago

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siniylev [52]

Answer:

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Step-by-step explanation:

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