Write a trinomial whose terms have a GCF of 2

Answers

Answer 1

Answer:

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

Answer 2

Answer:

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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How much does one slice of pumpkin pie cost if there are 8 servings per pie?Ingredients
• Pumpkin 15oz can ($1.50 for 15oz can)
2 eggs ($2.59 for one dozen)
• 1 tsp pumpkin pie spice ($5.99 for 1.12oz Jar =
approx.6tsp)
• Evaporated Milk 14oz can ($1.25 for 14oz can)
• Pillsbury Pie Crust ($3.79 for two crusts)
Show Your Work Here:

Answers

We want to find the cost of each slice of a pie given that we know the price of the ingredients that we use to make the whole pie. We will see that the cost of a single slice is $0.75.

First, we must get the cost of the whole pie. We have:

$1.50 for the 15oz can of Pumpkin
We know that 12 eggs cost $2.59, then 2 eggs cost: (2/12)*$2.59 = $0.43.
We know that 1.12 oz of pie spice costs $5.99, and we use only one teaspoon of this, remember that: 1tsp = 0.167 oz, Then the cost of 1tsp of pie spice is: (0.167 oz)/(1.12 oz)*$5.99 = $0.89.
$1.25 for the 14oz can of evaporated milk.
One pie crust, we know that two of them cost $3,79, then only one costs: $3.79/2 = $1.90

The total cost is then:

C = $1.50 + $0.43 + $0.89 + $1.25 + $1.90 = $5.97

Now we know the total cost of the pie, and it has 8 slices, then each slice costs: $5.97/8 = $0.75

If you want to learn more, you can read: brainly.com/question/20005135

Answer:

$0.76 per serving of pumpkin pie

Step-by-step explanation:

the total cost of the ingredients needed to prepare a pumpkin pie = $1.50 + ($2.59 / 6) + ($5.99 / 6) + $1.25 + ($3.79 / 2) = $6.075

if we cut 8 servings per pie, then the cost per serving = total cost of the pie / number of servings = $6.075 / 8 = $0.759375 ≈ $0.76 per serving of pumpkin pie

Josh was asked to solve the equation 15x-19=4x+11 His first step resulted in the equation 15x=4x=30 Describe what Josh did in his first step.

Answers

Answer:

Added 19 to each side

Step-by-step explanation:

15x-19=4x+11

Add 19 to each side

5x-19+19=4x+11+19

5x = 4x+30

Answer:

added 19 and 11

Ex 2.11
20) A curve y''=12x-24 and a stationary point at (1,4). evaluate y when x=2.

Answers

So, dy/dx=0 at the point (1, 4) - that is where x=1 and y=4.

$\int { 12x-24dx } \n \n =\frac { 12{ x }^( 2 ) }{ 2 } -24x+C\n \n =6{ x }^( 2 )-24x+C$

$\n \n \therefore \quad { f }^( ' )\left( x \right) =6{ x }^( 2 )-24x+C$

But when x=1, f'(x)=0, therefore:

$0=6-24+C\n \n 0=-18+C\n \n \therefore \quad C=18$

$\n \n \therefore \quad { f }^( ' )\left( x \right) =6{ x }^( 2 )-24x+18$

Now:

$\int { 6{ x }^( 2 ) } -24x+18dx\n \n =\frac { 6{ x }^( 3 ) }{ 3 } -\frac { 24{ x }^( 2 ) }{ 2 } +18x+C$

$=2{ x }^( 3 )-12{ x }^( 2 )+18x+C\n \n \therefore \quad f\left( x \right) =2{ x }^( 3 )-12{ x }^( 2 )+18x+C$

Now when x=1, y=4:

$4=2-12+18+C\n \n 4=8+C\n \n C=4-8\n \n C=-4$

$\n \n \therefore \quad f\left( x \right) =2{ x }^( 3 )-12{ x }^( 2 )+18x-4$

Now when x=2,

$f\left( x \right) =2\cdot { 2 }^( 3 )-12\cdot { 2 }^( 2 )+18\cdot 2-4\n \n =16-48+36-4\n \n =0$

So when x=2, y=0.

$y''=12x-24\ny'=\int 12x-24\, dx\ny'=6x^2-24x+C\n\n0=6\cdot1^2-24\cdot1+C\n0=6-24+C\nC=18\ny'=6x^2-24x+18\n\ny=\int 6x^2-24x+18\, dx\ny=2x^3-12x^2+18x+C\n\n4=2\cdot1^3-12\cdot1^2+18\cdot1+C\n4=2-12+18+C\nC=-4\n\n 2x^3-12x^2+18x-4$

$y(2)=2\cdot2^3-12\cdot2^2+18\cdot2-4\ny(2)=16-48+36-4\n\boxed{y(2)=0}$

The sum of six times a number and 8 is equal to five times the number

Answers

the sum of 6 itmes a numbber (6 times x or 6x) and 8 (8) (6x+8) is equal to (=) 5 times the number (5x)

6x+8=5x
subtract 5x form both sides
6x-5x+8=5x-5x
x(6-5)+8=x(5+5)
x(1)+8=x(0)
x+8=0
subtract 8 from both sides
x=-8

$x-\ number\n\n6x+8=4x \ \ \ \ | subtract\ 4x\n\n2x+8=0\ \ \ | subtract\ 8\n\n2x=-8\ \ \ | divide\ by\ 2\n\nx=-4\n\nNumber\ is\ -4.$

Solve the following
2(x+3) = x-4

Answers

Answer:

x= -10

Step-by-step explanation:

2(x+3)=x-4

2x+6=x-4

-x. -x

x+6=-4

-6. -6

x=-10

Find the slope of the line that passes through the two points
(2, 8) and (3, 14)

Answers

The equation of the line that passes through (2, 8) and (3, 14) will be y = 6x - 4.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

$\rm (y - y_2) = \left ((y_2 - y_1)/(x_2 - x_1) \right ) (x - x_2)$