How do I factorise 2t^2 + 5t +2

Answers

Answer 1

Answer: $2t^2+5t+2\n\na=2;\ b=5;\ c=2\n\n\Delta=b^2-4ac;\ if\ \Delta > 0\ then\ t_1=(-b-\sqrt\Delta)/(2a)\ and\ t_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=5^2-4\cdot2\cdot2=25-16=9;\ \sqrt\Delta=\sqrt9=3\n\nt_1=(-5-3)/(2\cdot2)=(-8)/(4)=-2;\ t_2=(-5+3)/(2\cdot2)=(-2)/(4)=-(1)/(2)\n\n2t^2+5t+2=2(x+2)(x+(1)/(2))$

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Write a trinomial whose terms have a GCF of 2

Answers

(2x + 6x + 4) All you need to find is numbers that can all be divided by 2.

Final answer:

To write a trinomial with a GCF of 2, start by factoring out the GCF from each term. For example, the trinomial 4x^2 + 6xy + 8y^2 can be factored as 2(2x^2 + 3xy + 4y^2).

Explanation:

A trinomial is an algebraic expression with three terms. The greatest common factor (GCF) is the largest factor that all the terms share. To write a trinomial with a GCF of 2, we can start by factoring out the GCF from each term. Let's say the original trinomial is:

4x^2 + 6xy + 8y^2

The GCF of the trinomial can be found by listing the factors of each term and selecting the highest common factor. In this case, the factors of 4x^2 are 2 and 2x^2, the factors of 6xy are 2, 3, x, and y, and the factors of 8y^2 are 2^3 and y^2. The highest common factor is 2, so we can factor out 2 from each term:

2(2x^2 + 3xy + 4y^2)

This is a trinomial with a GCF of 2.

Learn more about trinomial here:

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From the sum of 3x+ 5y -2 and 2x-3y +1 subtract the sum of 4x -8y +3 and -5x + 6y +7

Answers

Answer:

First, let's simplify both sums by combining like terms:

3x + 5y - 2 + 2x - 3y + 1 = 5x + 2y - 1

4x - 8y + 3 - 5x + 6y + 7 = -x - 2y + 10

Now we can subtract the second sum from the first:

(5x + 2y - 1) - (-x - 2y + 10) = 5x + 2y - 1 + x + 2y - 10

Simplifying this expression, we get: 6x + 4y - 11

Explain why the initial value of any function of the form f(x) = a(bx) is equal to a.

Answers

When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a.

Answer:Sample Response: When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a.

Step-by-step explanation:

The sum of two odd numbers is 198. Both of the numbers are multiples of 3. One of the numbers is 5 times the other. Which equation could you use to find the two numbers?

Answers

Answer:

The equation used to find the two numbers is:

x+5x=198

and numbers are:

33 and 165

Step-by-step explanation:

The sum of two odd numbers is 198.

One of the numbers is 5 times the other.

Let one number be x

other number=5x

⇒ x+5x=198

⇒ 6x=198

Dividing both sides by 6,we get

x=33

Other number=5x=5×33=165

The equation used to find the two numbers is:

x+5x=198

and numbers are:

33 and 165

You could use m= the lesser number and n as the greater number. Since one is 5 times the other you will start with m+5m=198. Then you will combine like terms so it will become 6m=198. Then you will solve it as a regular equation. m=33 and n=165.

What is 10/25 simplified

Answers

$(10)/(25)= (10/5)/(25/5)=\boxed { (2)/(5) }$

10 and 25 both have 5 in common so you divide the numerator and denominator by 5 to get 2/5, which cannot be simplified any further because they are both prime numbers

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