Complete the steps to factor 2x^2 + 6x + 5x + 15 by grouping.
What is there greatest common factor of Group 1?
A)2 B)x C)2x

Answer:

Age of Jacob is 10 years.

Step-by-step explanation:

Let the age of Jacob = x years and age of Kinsley = y years

Then by first statement " Kinsley's age is 7 years less than twice of Jacob's age"

y = 2x - 7

By second statement " Kensley is 13 years old "

y = 3 years

By putting y = 13 years in the equation

13 = 2x - 7

2x = 13 + 7

2x = 20

x = [tex]\frac{20}{2}[/tex] = 10 years

Therefore, age of Jacob is 10 years.

Answer:

The Answer is B. 10

Hope This Helps!

Answer:

I just know it is 0.222222222222

Step-by-step explanation:

Answer:

± [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{\frac{4}{9} }[/tex]

= [tex]\frac{\sqrt{4} }{\sqrt{9} }[/tex] = ± [tex]\frac{2}{3}[/tex]

Using Heron's formula where s = 9 ...... and a = b = c = the side lengths .....we have......

A = √[s(s -a)^3] = √[4*3^3] = √[4*27] = √[4*9*3] = √[36*3) = 9√3 sq. in.

C quadrant 3 because negative x value and negative y value

Answer:

x = -13

Step-by-step explanation:

Distribute:

8 - 6x + 10x - 15 = 20 - 5x

Combine like terms:

4x - 7 = 20 - 5x

Isolate Variable

-x = 13

-1(-x) = -1(13)

x = -13

Answer: [tex]x=3[/tex]

Step-by-step explanation:

You need to apply Distributive property on the left side of the equation:

[tex]2(4-3x)+5(2x-3)=20-5x\\\\8-6x+10x-15=20-5x[/tex]

Now you must add the like terms on the left side of the equation:

[tex]-7+4x=20-5x[/tex]

Add [tex]5x[/tex] to both sides:

[tex]-7+4x+5x=20-5x+5x\\\\-7+9x=20[/tex]

Add 7 to boht sides of the equation:

[tex]-7+9x+7=20+7\\\\9x=27[/tex]

And finally, divide both sides by 9:

[tex]\frac{9x}{9}=\frac{27}{9}\\\\x=3[/tex]

Answer:

Does it say a standard 6 sided die because if so then it would be 6/6 probability because the number can only go up to 6 an so there is no probability of getting anything more then 6

Step-by-step explanation:

Answer:

3 m^2 + 4m +7

Step-by-step explanation:

3x^24 + 4x^12 + 7

Let  m =x^12

m^2 = x^12 ^2 = x^24

Substitute this into the first equation

3 m^2 + 4m +7

Answer:

x = 7

Step-by-step explanation:

angles 2 and 3 form a straight angle and are supplementary, that is they sum to 180°, hence

∠2 + ∠3 = 180 ← substitute values

20x - 1 +4x + 13 = 180

24x + 12 = 180 ( subtract 12 from both sides )

24x = 168 ( divide both sides by 24 )

x = 7

Answer:

4

Step-by-step explanation:

[tex]f(x)=-2x+3, 0<x<=4[/tex]

Answer:

4

Step-by-step explanation:

The domain is the inputs (or the x values)

We start at -6 (but do not include it) and end at +4 (we include it)

-6 < x ≤4

The value that is included is 4

Plug 14 in for a and 12 in for b like so...

14 + 7(12)

14 + 84

98

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

6x^3-3x^3y^2

Step-by-step explanation:

6x^3+\left(-3x^3y^2\right)

6x^3+\left(-3x^3y^2\right)=6x^3-3x^3y^2

=6x^3-3x^3y^2

the answer is 3x^3(2-y^2).

6x^3 + (-3x^3y^2) =

6x^3 - 3x^3y^2 =

3x^3(2-y^2)

Answer:

g^5h^2

Step-by-step explanation:

12g^5h^4, g^5h^2

This is one way of doing it. Break down every number and every variable into a product of the simplest factors. Then see how many of each factor appear in both monomials.

12g^5h^4 = 2 * 2 * 3 * g * g * g * g * g * h * h * h * h

g^5h^2 = g * g * g * g * g * h * h

So far you see every single prime factor of each monomial.

Now I will mark the ones that are present in both. Those are the common factors.

12g^5h^4 = 2 * 2 * 3 * g * g * g * g * g * h * h * h * h

g^5h^2 = g * g * g * g * g * h * h

The greatest common factor is the product of all the factors that appear in both monomials.

GCF = g * g * g * g * g * h * h = g^5h^2

Answer:

y = - [tex]\frac{1}{3}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 3 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex], hence

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation of the perpendicular line

To find c substitute (3, 1) into the partial equation

1 = - 1 + c ⇒ c = 1 + 1 = 2

y = - [tex]\frac{1}{3}[/tex] x + 2 ← equation of perpendicular line

Answer:

y = -1/3x + 2

got it correct on my test

Answer:A

Step-by-step explanation:

Edge 21’

The true statement comparing the graphs of x^2/6^2-Y^2/8^2 = 1 and x^2/8^2-y^2/6^2 = 1 is: The foci of both graphs are the same points.

When we look at graphs of x^2/6^2-Y^2/8^2 = 1 and x^2/8^2-y^2/6^2 = 1 we would tend to see that the focus or foci of this two graph are the same point.

In order to know or determine that both graph are the same point or in order to determine each conic you have to focus on where the point crosses the axes.

Therefore the true statement comparing the graphs of x^2/6^2-Y^2/8^2 = 1 and x^2/8^2-y^2/6^2 = 1 is: The foci of both graphs are the same points.

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Answer:

60 degrees-30 = 90

50'-40'= 10

40"-50"= 10

Please mark brainliest and have a great day!

For this case we have that the point-slope equation of a line is given by:

[tex](y-y_ {0}) = m (x-x_ {0})[/tex]

Where:

m: It's the slope

[tex](x_ {0}, y_ {0}):[/tex] It is a point

We have as data that:

[tex](x_ {0}, y_ {0}): (- 2, -7)\\m = - \frac {3} {2}[/tex]

We replace:

[tex](y - (- 7)) = - \frac {3} {2} (x - (- 2))\\(y + 7) = - \frac {3} {2} (x + 2)[/tex]

Answer:[tex](y + 7) = - \frac {3} {2} (x + 2)[/tex]

Answer:

4

Step-by-step explanation:

The median is the middle, since the amount of data is an even number we need to add up the third number and fourth number. These are 3 and 5 respectively. Adding these up gives up 8. Dividing this by 2 is 4.

Answer:

7.81 dollars

Step-by-step explanation:

20 which was given to

take away the cost of the bill of 12.19

which will give you how much change you will need to give back

The y-intercept is where it crosses the y-axis. That means the x-coordinate is zero there. So this point represents how much it cost before any hours are applied. This is also known as the initial cost.

Answer:

Step-by-step explanation:

its the first one in edge

The graph which shows a rate of change of 1/2 is the linear graph shown in the image attached below.

Rate of change = change in y / change in x.

The two points between -4 and 0 on the x-axis as shown in the diagram attached are, (-4, 1) and (0, 3). It is also a linear graph.

Rate of change = (3 - 1)/(0 -(-4)) = 2/4 = 1/2

The graph that shows a rate of change is the linear graph attached below.

Learn more about the rate of change on:

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Answer:

BC should be 1 unit

Step-by-step explanation:

Answer:

1 unit is your answer

Answer:

F

Step-by-step explanation:

F

zero

Anytime you have zero as a possible answer, you have to consider it carefully. Part of the whole number system is 0. They go up from there. No fraction is a whole number. No decimal is a whole number except those that are equal to  a whole number.

The rest are all decimals so they are not whole numbers. Note I just noticed that the other numbers have periods after the choice. There are other whole numbers there if that is the case.

C D E and F are all whole numbers if that is a period after their choice letters.

Answer:

The standard deviation of the age is 6.16

Step-by-step explanation:

* Lets talk about the variance and the standard deviation

- The variance is the measure of how much values in a set of data are

 likely to differ from the mean value of the same data

- The steps to find the variance are:

1- Find the mean of the data  

2- Subtract the mean from each value and square the answer

3- Add all of these squared answer and divide the sum by the number

  of the values

- The answer of the step 3 is The variance (σ²)

- The standard deviation (σ) is the square root of the variance

* Now lets solve the problem

∵ The variance of the ages of the people who attended a rock

  concert is 38

∴ σ² = 38

∵ The standard deviation is the square root of the variance

∴ σ = √38 = 6.16

* The standard deviation of the age is 6.16

Answer:

[tex]\sigma=6.16[/tex]

Step-by-step explanation:

By definition, the variance V of a population is defined as:

[tex]V = \sigma^2[/tex]

Where [tex]\sigma[/tex] is the standard deviation

We know that [tex]V = 38[/tex], then we can solve the equation for the standard deviation [tex]\sigma[/tex]

[tex]38 = \sigma^2[/tex]

[tex]\sigma^2=38[/tex]

[tex]\sigma=\sqrt{38}[/tex]

[tex]\sigma=6.16[/tex]

Finally  the standard deviation is: [tex]\sigma=6.16[/tex]

The inequality x - 7 > -20 is solved by adding 7 to both sides, resulting in x > -13. The graph of this inequality has an open circle at -13 with shading to the right.

To solve the inequality x - 7 > -20, you want to isolate the variable x on one side. You can do this by adding 7 to both sides of the inequality:

x - 7 + 7 > -20 + 7

x > -13

So, the solution to the inequality is x > -13. To graph this solution on a number line, you would draw an open circle at -13 and shade to the right, indicating that x can be any value greater than -13 but not including -13 itself.

Answer:

32028.8 ounces

Step-by-step explanation:

We are given that there are 908 kilograms of of trial mix are in a bag and we are to find the number of ounces of the same amout of mix in the bag.

For that, we will use the ratio method.

We know that, 1 kg = 35.274, so:

[tex] \frac { 1 k g }{908kg} =\frac{35.274 oz}{x}[/tex]

[tex]x=32028.8[/tex]

Therefore, there are 32028.8 ounces of mix in the bag.

Final answer:

To find the amount of trail mix in ounces from 0.908 kilograms, convert the weight to grams and then to ounces using the conversion of 1 oz = 28.35 g, resulting in approximately 32.012 ounces of trail mix.

Explanation:

To convert the weight of the trail mix from kilograms to ounces, we need to use the conversion factor: 1 oz is produced by a mass of 28.35 g. First, convert the kilograms to grams by multiplying by 1000, because there are 1000 grams in a kilogram. Then, once we have the weight in grams, we can convert grams to ounces using the provided conversion rate.

Here's the calculation step by step:

Convert kilograms to grams: 0.908 kg × 1000 = 908 grams.

Convert grams to ounces: 908 g ÷ 28.35 g/oz = 32.012 ounces (rounded to three decimal places).

Thus, a bag that weighs 0.908 kilograms contains approximately 32.012 ounces of trail mix.

Answer:

[tex] y = 2 5 0 ( 0 . 8 9 ) ^ x [/tex]

Initial value: 250

Decay

Decay rate: 11%

[tex] y = 4 0 ( 1.11 ) ^ x [/tex]

Initial value: 40

Growth

Growth rate: 11%

Step-by-step explanation:

The function we have on the left of the table is:

[tex] y = 2 5 0 ( 0 . 8 9 ) ^ x [/tex]

Initial value (when x = 0): [tex] y = 2 5 0 ( 0 . 8 9 ) ^ 0 [/tex]

y = 250 (initial value)

Growth or Decay: 0.89 < 1 so decay

Decay rate: (1 - 0.89) * 100 = 11%

Function on right side:

[tex] y = 4 0 ( 1.11 ) ^ x [/tex]

Initial value (when x = 0): [tex] y = 4 0 ( 1 . 1 1 ) ^ 0 [/tex]

y = 40 (initial value)

Growth or decay: 1.11 > 1 so growth

Growth rate: (1.11 - 1) * 100 = 11%

i took the test 100%

Answer: i think C

Step-by-step explanation:

Answer:

x=2                x=-3

Step-by-step explanation:

4x2+3x=24-x

Subtract 24 from each side

4x^2 +3x -24 = 24-24 -x

4x^2 +3x -24 = -x

Add x to each side

4x^2 +3x+x -24 = -x+x

4x^2 +4x -24 = 0

Factor out a 4

4(x^2 +x -6) = 0

Divide by 4

x^2 +x -6 =0

Factor

What 2 numbers multiply to -6 and add to 1

-2*3 = -6

-2+3 =1

(x-2) (x+3) =0

Using the zero product property

x-2 =0            x+3 =0

x-2+2=0+2    x+3-3=0-3

x=2                x=-3

Answer:x=-3 , x = 2

Step-by-step explanation:

First move the expression ( 24-x) to the left.

This gives us 4x^2+3x+24-x.

Collect the like terms which gives us 4x^2+4x+24

4x^2+4x-24 = 0.  Divide both sides by 4.

x^2 + x-6 = 0

Factorise the expression so you get (x+3)(x-2)=0

Solve the equations x+3 = 0 and x-2=0

The final solutions are x=-3 and x=2.

Answer:

The LCM of 8 and 9 is 72.

Step-by-step explanation:

Please mark brainliest and have a great day!

For this case we must find the point that Harold used to arrive at the following equation:

[tex]y = 3 (x-7)[/tex]

Starting from the fact that the equation of the point-slope form of a line is given by:

[tex](y-y_ {1}) = m (x-x_ {1})[/tex]

If we compare the standard equation with Harold's, we see that the slope of the line is [tex]m = 3.[/tex]

In addition, it is observed that [tex]x_ {1} = 7[/tex]and [tex]y_ {1} = 0.[/tex]

Then, the correct option is: Harold used the point (7,0)

ANswer:

When Harold wrote his equation, the point was used (7,0).