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Sloan [31]
3 years ago
15

Which system of equations does not have a real solution? y = x6 2 + 3x - 5 and x + y = -10 y = x6 2 + 3x - 5 and 4x + 5y = 20 y

= x 62+ 3x- 5 and x + y = -9
Mathematics
2 answers:
Yuri [45]3 years ago
5 0
I think it would be the first one but im not to positive
natta225 [31]3 years ago
5 0

Answer:

y = x ^2 + 3x - 5 and x + y = -10

Step-by-step explanation:

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Point M is the midpoint of segment AB. If AM = 50 – 3x and MB = –20 + 4x, find the value of AM
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Find the smallest positive $n$ such that \begin{align*} n &\equiv 3 \pmod{4}, \\ n &\equiv 2 \pmod{5}, \\ n &\equiv
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4, 5, and 7 are mutually coprime, so you can use the Chinese remainder theorem right away.

We construct a number x such that taking it mod 4, 5, and 7 leaves the desired remainders:

x=3\cdot5\cdot7+4\cdot2\cdot7+4\cdot5\cdot6

  • Taken mod 4, the last two terms vanish and we have

x\equiv3\cdot5\cdot7\equiv105\equiv1\pmod4

so we multiply the first term by 3.

  • Taken mod 5, the first and last terms vanish and we have

x\equiv4\cdot2\cdot7\equiv51\equiv1\pmod5

so we multiply the second term by 2.

  • Taken mod 7, the first two terms vanish and we have

x\equiv4\cdot5\cdot6\equiv120\equiv1\pmod7

so we multiply the last term by 7.

Now,

x=3^2\cdot5\cdot7+4\cdot2^2\cdot7+4\cdot5\cdot6^2=1147

By the CRT, the system of congruences has a general solution

n\equiv1147\pmod{4\cdot5\cdot7}\implies\boxed{n\equiv27\pmod{140}}

or all integers 27+140k, k\in\mathbb Z, the least (and positive) of which is 27.

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A clothing store offers a free T-shirt when a customer spends $75 or more. Lyndon has already spent $36. 95. Which statement bes
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Lyndon should spend $38.05 or more to get a free T-shirt.

We have to find the statement best represents all of the amounts he can spend to get a free T-shirt

Suppose that the amount Lyndon get free T shirt is x.

Given that a clothing store offers a free T-shirt when a customer spends $75 or more.

Lyndon has already spent $36.95.

x+36.95\geq 75

To find the value of x,

Solve above inequality

x\geq 75-36.95

x\geq 38.05

Therefore,

Lyndon should spend $38.05 or more to get a free T-shirt

To learn more about the amounts he can spend to get a free visit:

brainly.com/question/25537936

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