Determine the value of n that makes the polynomial a perfect square trinomial. Then factor as the square of a binomial. Express numbers as integers or simplified fractions

You're letting x = 0.325325325…, which means

1000x = 325.325325325…   (or 325.325, but pretend the underline is actually an overline)

Then the next box you'd fill in with 0.325325325… (or 0.325).

Subtracting these, you have

1000x - x = 325.325325325… - 0.325325325…

999x = 325

Finally, solving for x gives

x = 325/999

[tex]2\sqrt{3}[/tex]

------------------------

Steps:

1st write out equation

[tex]\frac{\sqrt{60}}{\sqrt{5}} \\[/tex]

Second write the conjugant and multiply it.

[tex]\frac{\sqrt{60}}{\sqrt{5}} * \frac{\sqrt{5} }{\sqrt{5} }[/tex]

After multiplying you should get,

[tex]\frac{10\sqrt{3}}{5}[/tex]

now after simplifying you should get

[tex]2\sqrt{3}[/tex]

Answer:

14

Step-by-step explanation:

the full length of the line is 17, half of it is 3.

subtract line LN from MN to get LM.

17-3=14

Answer:

LN=4

Step-by-step explanation:

Answer:

Real and irrational numbers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

|-13|=13

Answer:

y = -26

Step-by-step explanation:

[y = 2 - 2x] + [y = -16 + 2(x - 3)^2​]

y = -16 + 2x - 6^2

y = -16 + 2x - 6^2 + 2 - 2x

y = (+2x - 2x) - 16 - 6^2 + 2

y = -16 - 6^2 + 2

y = -16 - 12 + 2

y = - 28 + 2

y = -26

Answer:

You worked for 4.5( for and a half hour)

Step-by-step explanation:

33.75$(total amount of money you got)

7.50 ($ money per hour)

33.75/7.50= 4.5H

Answer:

Step-by-step explanation:

1) x² - 8x + 5 = 0

2) No subtract 5 from both sides

x² - 8x + 5 - 5 = 0 - 5

x² - 8x  = -5

3) Now find (8/2) = 4. Add 4² = 16 to both sides

x² - 8x + 16 = -5 + 16

x² - 8x + 16 = 11

4) (x - 4)²  = 11

5) Take square root both sides

x - 4 = ±√11

x = 4 ±√11

Answer:

(4,3)

Step-by-step explanation:

hope this helps :)

Answer:

C. 64+4x=200

'X' is the price of the bracelet

Step-by-step explanation:

Ring: $64

4 Bracelet: 4 ( $x )

Total spend: $200=Ring+4 Bracelet

64+4x=200

4x=200-64

4x=136

x=136/4

x=34

Bracelet: $34

Answer:

Label figures 2, 3, and 4 with the type of transformation used to create each figure. Rotation Reflection Translation Dilation

Answer:

2 refliction , 3 rotaion 4 , translation

Step-by-step explanation:

Answer:

-13/10

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-7-6/4-(-6)

-13/10

Best of Luck!

Here we have a problem with exponential decays,  we will find that we can expect that 110 rabbits will still be alive at the end of 7 days.

An exponential decay can be written:

P(x) = A*e^(-k*x)

Where:

A is the initial amount.

k defines the rate of decrease.

x is our variable.

In this case, the exponential decay is applied to the population of rabbits, and we know that:

The initial population is 240, then A = 240

P(x) = 240*e^(-k*x)

We also know that after two days (at x = 2) the population was 180, then we can write:

P(2) = 180 = 240*e^(-k*2)

With this equation we can find the value of k:

180 = 240*e^(-k*2)

180/240 = e^(-k*2)

Now remember that:

Ln(e^n) = n

then if we apply the natural logarithm to both sides, we get:

Ln(180/240) = Ln(e^(-k*2)) = -k*2

-Ln(180/240)/2 = k = 0.144

Then the equation is:

P(x) = 240*e^(-0.144*x)

Now with this, we can find the population of rabbits after 7 days, we just need to evaluate the above function at x = 7, we will get:

P(7) = 240*e^(-0.144*7) = 110.3

That we could round down to the next whole number, 110.

Concluding, we can expect that 110 rabbits will still be alive at the end of 7 days.

If you want to learn more, you can read:

https://brainly.com/question/14355665

Answer:

Mark me as brainliest ❤️

Answer:

+12

Step-by-step explanation:

Answer:

solution,

given,

10 + 8 × 90 ÷ 9 - 4

=10 + 8 ×10 - 4

=10 + 80 - 4

=90 - 4

=86

Step-by-step explanation:

it is simplify . In simplification, we solve it by following rules bracket,divide, multiply, add and subtract. please remind it

i think it was helpful for all of you.

Answer:

-6 x 9 = -54

Explanation:

Answer:

(-6, 4)

Step-by-step explanation:

System of Linear Equations entered :

[1] y - 2x/3 = -1

[2] y + x = 4

// To remove fractions, multiply equations by their respective LCD

Multiply equation [1] by 3

// Equations now take the shape:

[1] 3y - 2x = -3

[2] y + x = 4

Graphic Representation of the Equations :

-2x + 3y = -3 x + y = 4

Solve by Substitution :

// Solve equation [2] for the variable x

[2] x = -y + 4

// Plug this in for variable x in equation [1]

[1] 3y - 2•(-y +4) = -3

[1] 5y = 5

// Solve equation [1] for the variable y

[1] 5y = 5

[1] y = 1

// By now we know this much :

y = 1

x = -y+4

// Use the y value to solve for x

x = -(1)+4 = 3

I hope this help you

Answer:

Step-by-step explanation:

x1 + x2 divided by 2

y1 + y2 divided by 2

-3 + 4 is 1/2

-4 + 4 is 0

(0.5,0)

i could be wrong but i did it in my head , but the equation is right . just do that in order

Answer:

( 0.5, - 1 )

Step-by-step explanation:

So here is the equation:

x2 + x1 / 2 For the x coordinate

y2 + y1 / 2 For the y coordinate

x2 is 4 and x 1 is -3 whilst y2 is 2 and y1 is -4.

Thus:

4 + -3 / 2 = 0.5 x coordinate

2 + -4 / 2 = -1 y coordinate

So it becomes (0.5, -1)

HOPE THIS HELPED

Answer:

For a line to be parallel it must have the same slope. So the slope of the new equation is 6.

The slope intercept form is y=mx+b. And we have a point (3,-5). Plug in what we know....

-5=6(3)+b

Solve for b (the y-intercept)

b= -23

Therefore.... y=6x-23

??? does that help????

We want to define the name of a plane. We will find that some of the possible names are:

IJF, JFE, FEI.

To define any given plane, we can just use two collinear points that are on the plane and a third point, which is on the plane and is not-collinear to the other two points.

Remember that points are collinear if we can connect them with a line.

So for the shown plane, some names can be:

IJF

where IJ are two collinear points and F is the third point that is non-collinear to the other two and also is on the plane.

Other names can be:

JFE

FEI

etc.

If you want to learn more, you can read:

https://brainly.com/question/17486608

Answer:

17

Step-by-step explanation:

okay so we know its double digit and less than nineteen so... 11 through eighteen. now we just find the prime numbers.

11

13

17

Now to finally narrow it down.

1+1=2 so 11 doesn't work

1+3= 4 so 13 is a no-go

1+7=8 so BLAMMO

Answer:

8.11

Step-by-step explanation:

The 7 makes the 0 a 1

Answer:

total=16pens and 10 red pens so ratio=10:16 fraction =5/8

Step-by-step explanation: