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maks197457 [2]
3 years ago
10

4x2 + 9y2 = 72 2x - y = 4 Which of the following is a solution to the system shown?

Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0
If you would like to solve the system of equations, you can do this using the following steps:

4x^2 + 9y^2 = 72
2x - y = 4 ... 2x - 4 = y
_________
<span>4x^2 + 9y^2 = 72
</span><span>4x^2 + 9 * (2x - 4)^2 = 72
</span>4x^2 + 9 * (4x^2 - 16x + 16) = 72
4x^2 + 36x^2 - 144x + 144 = 72
40x^2 - 144x + 144 - 72 = 0
40x^2 - 144x + 72 = 0
10x^2 - 36x + 18 = 0
5x^2 - 18x + 9 = 0
(5x - 3) * (x - 3) = 0
1. 5x - 3 = 0 ... 5x = 3 ... x = 3/5
2. x = 3

<span>1. y = 2x - 4 = 2 * 3/5 - 4 = 6/5 - 20/5 = -14/5
2. y = 2x - 4 = 2 * 3 - 4 = 6 - 4 = 2

1. (x, y) = (3/5, -14/5)
2. (x, y) = (3, 2)

The correct result would be </span>(3/5, -14/5) and <span>(3, 2).</span>
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How do you solve -k/5 times 7/5
Firdavs [7]

Answer:

\frac{-7}{25}k

Step-by-step explanation:

\frac{-k}{5} *\frac{7}{5}

just multiply across

-k*7=-7k

5*5=25

\frac{-7}{25}k

hope this helps

5 0
3 years ago
You are working on an assignment for your statistics class. You need to estimate the proportion of students at your college who
Ede4ka [16]

Answer:

B, Work with the math instructors to create a list of students currently taking a math class. Randomly select

Step-by-step explanation:

Let's think of each scenario at a time.

(A) We select 100 students enrolled in college randomly that should be fine because we are taking only students that can take classes. this rules out faculty members and any other persons but also there may be students that will never take any math course as part of their study plan, this is ruled out on that basis.

(B)if we take 100 students from the list of math instructor, that will ensure that we have taken students that are taking math class now, and math is part of their study plan, seems fine.

(C) visiting cafeteria randomly on multiple days will give us random persons that may not even be enrolled in university. this can be ruled out on that basis.

(D)Ten class at random and surveying each student in every class will make sampling size large or small depending on students enrolled in each of the class this will not give us reliable results.

We can conclude that (B) is the beast method for obtaining reliable results.

6 0
3 years ago
What is the decimal equivalent of 61 3/9
Elden [556K]
The equivalent decimal is 61.(3)
7 0
3 years ago
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A $20 shirt was 30% off and you had a coupon for another 10% off. What is the new price?
laila [671]

Answer:

$12.60 is the new price!

Step-by-step explanation:

20 x 0.7 = 14

14 x 0.9 = 12.6

Hope this helped!

4 0
3 years ago
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Help me and explain
yan [13]

TOTAL IS $10


If the party costs $5 and each additional person is $1 and she invites 5 more 5 X 1 = 5


OR 1 + 1 + 1 + 1 + 1

4 0
3 years ago
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