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vitfil [10]
2 years ago
5

Solve the system of equations.

Mathematics
1 answer:
guajiro [1.7K]2 years ago
3 0

Answer:

Option 2: (1, 0) and (0, -5)

Step-by-step explanation:

Let's solve this system of equations using the elimination method.

Start by labelling the two equations.

5x -y= 5 -----(1)

5x² -y= 5 -----(2)

(2) -(1):

5x² -y -(5x -y)= 5 -5

Expand:

5x² -y -5x +y= 0

5x² -5x= 0

Factorise:

5x(x -1)= 0

5x= 0 or x -1= 0

x= 0 or x= 1

Now that we have found the x values, we can substitute them into either equations to solve for y.

Substitute into (1):

5(0) -y= 5 or 5(1) -y= 5

0 -y= 5 or -y= 5 -5

y= -5 or -y= 0

y= 0

Thus, the solutions are (0, -5) and (1, 0).

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Answer:

20/27 or 0.74

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The total number of people is: 2+6+5+14 = 27

Total number of people that don't have a cat is: 6+14 = 20

20/27 = 0.74

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2 years ago
3÷4 is 3/4. What is 1/4 of 3?
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3 years ago
Translate the figure 5 units up. Then decide if each statement about translated figures is true or false,
m_a_m_a [10]

Answer:

First, second, and third are true.

Fourth is false.

Step-by-step explanation:

1. When we're translating a figure, everything about the figure stays the same except its location on the coordinate plane. The side lengths, the angle measures, and parallel sides will not change.

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5 0
2 years ago
Factorization for the monomial<br> <img src="https://tex.z-dn.net/?f=48x%5E%7B10%7D" id="TexFormula1" title="48x^{10}" alt="48x^
Schach [20]

Answer:

Some of the possible factorizations of the monomial given are:

(16x^5)(3x^5)

(48x)(x^9)\\\\(4x^5)(12x^5)\\\\(16x^2)(3x^8)\\\\(2x^2)(4x^7)(6x)

Step-by-step explanation:

 To factorize the monomia you need to express it as a product of two or more monomials.  Therefore, you must apply the proccedure shown below:

- Descompose into prime numbers:

48x^{10}=2*2*2*2*3*x*x*x*x*x*x*x*x*x*x

- Then, keeping on mind that, according to the Product of powers property, when you have two powers with equal base you must add the exponents, you can make several factorizations.  Below are shown some of the possible factorizations of the monomial given:

(2^4x^5)(3x^5)

(48x)(x^9)\\\\(4x^5)(12x^5)\\\\(16x^2)(3x^8)\\\\(2x^2)(4x^7)(6x)

3 0
3 years ago
Read 2 more answers
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