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Anna11 [10]
3 years ago
9

Find the area enclosed by the graphs of x + y = 6 , x − y = 0 , y + 5x = 6 .

Mathematics
1 answer:
LekaFEV [45]3 years ago
6 0
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Solve the following systems by substitution
Paladinen [302]

Answer:

The answer to your question is below

Step-by-step explanation:

Question 1

                x = 5                       Equation l

                2x + y = 10              Equation ll

- Substitute Equation l in equation ll

               2(5) + y = 10

                y = 10 - 10

                y = 0

- Solution  (5, 0)

Question 2

                 x + 16y = 20          Equation l

                 x = 4y                    Equation ll

Substitute equation ll in equation l

                4y + 16y = 20

                        20y = 20

                           y = 20/20

                           y = 1

-Find x

                x = 4(1)

                x = 4

-Solution

                (4, 1)

Question 3

                   2x + 8y = 20            Equation l

                     x = 2                       Equation ll

-Substitute equation ll in equation l

                   2(2) + 8y = 20

                      4 + 8y = 20

                            8y = 20 - 4

                            8y = 16

                              y = 16/8

                              y = 2

- Solution

                   (2, 2)              

8 0
3 years ago
You may have noticed that in practice problems related to order, logarithms are usually just "log". As you know from algebra, th
Usimov [2.4K]

Explanation:

A logarithm in one base is a constant multiple of a logarithm in any other base. Any "order of ..." specification does not include the applicable constant multiplier or the smaller order terms that may be required for an exact computation.

The concept of "order of" is similar to the concept of the degree of a polynomial. Knowing the degree of a polynomial tells you something about the "end behavior" as the function argument gets large. The specifics of the scale factor and lower-degree terms become largely irrelevant.

4 0
3 years ago
Jennifer's saving to buy a bike. The bike costs $245. She has $125 saved, and each week she adds $15 to her savings. How long wi
Novosadov [1.4K]
It will take her 8 weeks to save up enough money for the bike.

To get the answer first you have to subtract 125 from 245 to see how much money she still has to save then divide the answer which is 120 by 15 and you get 8. Hope this helps!!
4 0
3 years ago
Read 2 more answers
Divide. Give the quotient and remainder.<br> 2831 divided by 25
andrew11 [14]

Answer:

113 R 6

Step-by-step explanation:

6 0
3 years ago
Suppose a city with population 300 comma 000 has been growing at a rate of 3​% per year. If this rate​ continues, find the popul
viktelen [127]

Answer:

The population of this city in 13 years is 440,550.

Step-by-step explanation:

Given:

Suppose a city with population 300, 000 has been growing at a rate of 3​% per year.

Now, to find the population of this city in 13 years.

Let the population of this city in 13 years be A.

Population (P) = 300,000.

Rate per year (r) = 3%.

Time (t) = 13 years.

Now, we put formula to get the population of the city in 13 years:

A=P(1+r)^t\\\\A=300,000(1+3\%)^{13}\\\\A=300,000(1+0.03)^{13}\\\\A=300,000(1.03)^{13}\\\\A=300,000\times 1.4685\\\\A=440,550.

Therefore, the population of this city in 13 years is 440,550.

3 0
3 years ago
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