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blondinia [14]
1 year ago
10

X-y=5 and x^2y=5x+6​

Mathematics
1 answer:
sergeinik [125]1 year ago
8 0

By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.

<h3>How to solve a system of equations</h3>

In this question we have a system formed by a <em>linear</em> equation and a <em>non-linear</em> equation, both with no <em>trascendent</em> elements and whose solution can be found easily by algebraic handling:

x - y = 5      (1)

x² · y = 5 · x + 6       (2)

By (1):

y = x + 5

By substituting on (2):

x² · (x + 5) = 5 · x + 6

x³ + 5 · x² - 5 · x - 6 = 0

(x + 5.693) · (x - 1.430) · (x + 0.737) = 0

There are three solutions: x₁ ≈ 5.693, x₂ ≈ 1.430, x₃ ≈ - 0.737

And the y-values are found by evaluating on (1):

y = x + 5

x₁ ≈ 5.693

y₁ ≈ 10.693

x₂ ≈ 1.430

y₂ ≈ 6.430

x₃ ≈ - 0.737

y₃ ≈ 4.263

By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.

To learn more on nonlinear equations: brainly.com/question/20242917

#SPJ1

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What is the common difference of 31, -169, -369, -569?
san4es73 [151]

Answer:

31 is a positive number, while -169, -369, and -569 is negative.

Step-by-step explanation:

Negative numbers, are numbers less then 0 and include a negative sign that looks like this "-".

Positive numbers are numbers above 0 and don't include a negative sign.

-169, -369, and -569 is negative because they have a negative symbol and the number is below 0, while 31 is positive because it's above 0 and doesn't include a negative sign.

4 0
3 years ago
A necklace has and matching bracelet have two types of beads. The necklace has 12 large beads and 8 small beads and weighs 88 gr
miv72 [106K]

Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.

Step-by-step explanation:

Let,

Weight of one large bead = x

Weight of one small bead = y

According to given statement;

12x+8y=88     Eqn 1

5x+2y=25      Eqn 2

Multiplying Eqn 2 by 4

4(5x+2y=25)\\20x+8y=100\ \ \ Eqn\ 3\\

Subtracting Eqn 1 from Eqn 3

(20x+8y)-(12x+8y)=100-88\\20x+8y-12x-8y=12\\8x=12

Dividing both sides by 8

\frac{8x}{8}=\frac{12}{8}\\x=1.5

Putting x=1.5 in Eqn 1

12(1.5)+8y=88\\18+8y=88\\8y=88-18\\8y=70

Dividing both sides by 8

\frac{8y}{8}=\frac{70}{8}\\y=8.75

Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/11334714
  • brainly.com/question/11345547

#LearnwithBrainly

5 0
2 years ago
For altitudes up to 36000 feet, the relationship between ground temperature and atmospheric
Novosadov [1.4K]

Answer:Determine" (and any subsequent words) was ignored because we limit queries to 32 words.

The answer is a=35,000 and equation is a=t-g/-0.0035

Step-by-step explanation:

4 0
3 years ago
Pls help this is major, ill mark u brainliest
Lera25 [3.4K]

Answer:

105

Step-by-step explanation:

A=lw   A=(.5)πr²

to get the area of the shaded parts you have to subtract the area of the semicircle from the area of the rectangle

A=(16)(9)

A=144

A=\frac{(3.14)(5)^2}{2} A=\frac{(3.14)(25)}{2} A=\frac{78.5}{2}

A=39.25

subtract the areas

144-39.25=104.75

104.75 ≅ 105

4 0
2 years ago
Find the equivalent exponential expression. (7^4)^5
Nikolay [14]
Hi!

To solve exponental equations, multiply the exponents.
4·5=20

The answer is 7^{20}

Hope this helps! :)
-Peredhel
6 0
2 years ago
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