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shtirl [24]
3 years ago
10

Choose a variable to isolate and what it is equal to in the system of equations below

Mathematics
1 answer:
Alinara [238K]3 years ago
5 0

Answer:

y=2x-3

Step-by-step explanation:

2x=y+3

2x-3=y

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What is factorisation ​
liubo4ka [24]

Factorization is a method of writing numbers as the product of their factors or divisors.

<em><u>Solution:</u></em>

<em><u>Factorisation:</u></em>

Factorization is a method of writing numbers as the product of their factors or divisors.

In other words we can say, Finding what to multiply together to get an expression.

It is like "splitting" an expression into a multiplication of simpler expressions.

<em><u>Methods of factorisation:</u></em>

  • Factoring out the GCF
  • The sum-product pattern
  • The grouping method
  • The perfect square trinomial pattern
  • The difference of squares pattern

<em><u>Factoring out the GCF:</u></em>

This methods means that factoring out common factors

For example:

12x^2 + 3x = 3x(4x + 1)

This can be used when each term in given expression shares a common factor

<em><u>The sum-product pattern</u></em>

A quadratic equation may be expressed as a product of two binomials

For example:

x^2 + 7x + 12 = (x + 3)(x + 4)

This method can be used for quadratic equations of form ax^2 + bx + c = 0

<em><u>The grouping method</u></em>

If the polynomial is of the form  ax^2 + bx + c and there are factors of ac that add up to b , we can use this method

For example:

2x^2 + 7x + 3\\\\2x^2 + 6x + 1x + 3\\\\2x(x + 3) + 1(x + 3)\\\\(x + 3)(2x + 1)

<em><u>The perfect square trinomial pattern</u></em>

If the first and last terms are perfect squares and the middle term is twice the product of their square roots , we can use this method

For example:

x^2 + 10x + 25\\\\(x + 5)^2

<em><u>The difference of squares pattern</u></em>

If the expression represents a difference of squares, we can use this method

Because a^2 - b^2 = (a + b)(a - b)

For example:

x^2 - 25\\\\x^2 - 5^2\\\\(x + 5)(x - 5)

6 0
3 years ago
Oliva ties 2.5 feet of ribbon on to 1 balloon how many yards of ribbon dose olivia need for 18 balloons
Bezzdna [24]

Olivia needs 15 yards of ribbon.

2.5x18=45 feet

divide 45ft by 3 to see how many yards that would be.

45/3=15

Hope that I helped

4 0
3 years ago
A dog’s heart beats 6600 times in an hour. What is their pulse rate in beats per minute?
Artist 52 [7]

Answer:

110 beats per minute.

Step-by-step explanation:

Since we know it beats 6600 beats per hour and there are 60 minutes in an hour then we have to divide 6600 by 60 which is 110.

7 0
3 years ago
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The quotient of a number and 4 is -7 write an equation and solve
Olin [163]

Answer:

equation- 4÷x=-7

x= -4/7

Step-by-step explanation:

5 0
3 years ago
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The box plots show male and female grades in a physics class. Which of the following best describes the information about the in
AlekseyPX

Answer:

I think the other one is right

Step-by-step explanation:

8 0
3 years ago
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