Define a polynomial that is a difference of squares. How do you know that it is the difference of squares? How is it factored?

Answer:

Considere una secuencia cuyos primeros cinco términos son: 4, 8, 16, 32, 64.

¿Qué función (con dominio todos los enteros n 2 1) podría usarse para definir y continuar esta secuencia?

A f(n) = 4(n-1)

® f(n) = 4(2)"-1

f(n) = 4n2

f(n) = 4n

Step-by-step explanation:

The effect  of adding k on the graph of f(x) will shift the curve upward by k units on the xy-plane.

Given the parent function of the given graph expressed as  f(x) = 2x^2 + 4.

If this function is represented as f(x)+k, the addition of the constant "k" shows hat the  function f(x) has been shifted vertically upwards by a factors of 'k'

Hence the effect  of adding k on the graph of f(x) will shift the curve upward by k units on the xy-plane.

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Answer:

24

Step-by-step explanation:

You can use a simple equation for this:

c=chickens, r=roosters

c=10+2r, as "chickens is TEN MORE than TWICE the number of roosters,"

we can then do;

10+2r+r (the original number of roosters)=31

3r=21

r=7

BUT, WE'RE NOT LOOKING FOR ROOSTERS!

10+2r=24

Answer:

13 is 41.9 percent of 31

13/31*100=41.9

Answer: 8x+11

Step-by-step explanation:

Answer:

I'm not sure I understand the formatting.  I don't know what the x is supposed to be for the middle term (-x(2.2x10^6)), so I dropped the x for the calculation.  I also assumed all terms are to be added.  If these assumptioons are correct, the answer is:

4.58012 x 10^8 or 4.6x10^8  (see below)

Step-by-step explanation:

(4.8x10^8) - (2.2x10^6) + 1.2x10^4

(4.8x10^8) - (0.022x10^8) + (0.00012x10^8)

 4.8

-0.22

+0.00012

4.58012

4.58012 x 10^8

There are only 2 significant digits (2.8x10^8) so if this is an answer relating to a scientific measurement, it would need to rounded to simply 4.6x10^8.

Step-by-step explanation:

The root is

-sqr root of 5.

First, we put these roots in the forn of

[tex](x - a)[/tex]

where a is the root

So we have

[tex](x - ( - 2))(x - \sqrt{5} )(x - \frac{10}{3} )[/tex]

[tex](x + 2)(x - \sqrt{5} )(3x - 10)[/tex]

[tex](3 {x}^{2} - 4x - 20)(x - \sqrt{5} )[/tex]

To get rid of that square root, let have another root that js the conjugate posive root of 5.

[tex](3 {x}^{2} - 4x - 20)(x - \sqrt{5} )(x + \sqrt{5} )[/tex]

[tex](3 {x}^{2} - 4x - 20)(x {}^{2} + 5)[/tex]

Which will gives us a rational coeffeicent of degree 4.

Why we didn't do

[tex](x - \sqrt{5} )[/tex]

?

Because

[tex](x - \sqrt{5} ) {}^{2} = {x}^{2} - 2 \sqrt{5} + 5[/tex]

If we foiled out we will still have a irrational coeffceint.

Answer:

The value of the slope would be:
8/7

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

[tex] slope = \dfrac{8}{7} [/tex]

Step-by-step explanation:

(4, 6) and (-3, -2)

[tex] slope = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] slope = \dfrac{-2 - 6}{-3 - 4} [/tex]

[tex] slope = \dfrac{-8}{-7} [/tex]

[tex] slope = \dfrac{8}{7} [/tex]

Answer:

-18

Step-by-step explanation:

= -8 - (-2 +7) x 2

= -8 - 5 x 2

= -8 - 10

= -18

Step-by-step explanation:

the volume of a cone is

ground area × height / 3

and the ground area is a circle.

so,

pi×r²×h/3

with r being the radius (half the diameter) and h being the height.

therefore, we get

pi×(12/2)²×11/3 = pi×6²×11/3 = pi×12×11 = 132pi =

= 414.6902303... m³

820 rodents in total

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

create a proportional equation:

[tex]\sf \dfrac{present \ rodents}{present \ marked \ rodents} = \dfrac{later \ rodents}{later \ marked \ rodents}[/tex]

[tex]\hookrightarrow \sf \dfrac{x}{41} = \dfrac{320}{16}[/tex]                               ( Let the total population be x )

[tex]\hookrightarrow \sf x= \dfrac{320*41}{16}[/tex]

[tex]\hookrightarrow \sf x= 820[/tex]

Let that be x

[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{16}{320}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{1}{20}[/tex]

[tex]\\ \rm\Rrightarrow x=41(20)=820[/tex]

Answer:

y = -13  

Step-by-step explanation:

y = 5(-2) - 3

y= -10 -3

y = -13  

Step-by-step explanation:

or, y = 5x - 3

or, y = 5 (-2) - 3

or, y = -10 - 3

y = -13

The mistake made by pearl from solving the quadratic equation is that he didn't equate the equation to zero(0) before solving

x² - 3x - 10 = 8

x² - 3x - 10 - 8 = 0

x² - 3x - 18 = 0

x² - 6x + 3x - 18 = 0

x (x - 6) + 3(x - 6) = 0

(x + 3) (x - 6) = 0

x + 3 = 0. x - 6 = 0

x = -3. x = 6

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Ginger can have 7 dimes and 7 pennies while Caleb can have 3 quarters and 2 pennies.

An equation is an expression used to show the relationship between two or more numbers and variables.

Ginger and Caleb each have $0.75

Ginger does not have any quarters. He might have 7 dimes and 7 pennies.

Caleb does not have any dimes. He can have 3 quarters and 2 pennies.

Ginger can have 7 dimes and 7 pennies while Caleb can have 3 quarters and 2 pennies.

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Answer:

4(4x + 5)

Step-by-step explanation:

4 goes into both 16 and 20.

4×4 is 16 and

4×5 is 20.

When factoring you put the nunber you factored out typically, in front. Then the remaining factor goes in a set of parenthesis.

This is like undoing distributive property.

16x + 20

= 4(4x+5)

Take 2 common

Again take two common

Simplify

Done

Considering the circle of the given equation, and comparing to the standard equation of a circle, it is found that the given circle has radius is of [tex]\frac{1}{5}[/tex].

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem, the equation is given by:

[tex]\left(x + \frac{1}{5}\right)^2 + \left(y - \frac{2}{5}\right)^2 = \frac{1}{25}[/tex]

Hence, the radius is found as follows.

[tex]r^2 = \frac{1}{25}[/tex]

[tex]r = \sqrt{\frac{1}{25}}[/tex]

[tex]r = \frac{1}{5}[/tex]

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Answer:

c 1/5

Step-by-step explanation:

Answer:

180 cm

Step-by-step explanation:

We can conclude that the reasonable slope of a model that fits the given data is: C. 1.

Slope = change in y/change in x.

To find the slope of that fits the data, pick any two points on the scatter plot, say, (12, 1985) and (16, 1988)

Slope = (1988 - 1985)/(16 - 12) = 0.75 ≈ 1.

Therefore, we can conclude that the reasonable slope of a model that fits the given data is: C. 1.

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Answer:

D

Step-by-step explanation:

Volume of cube = s^3

    volume = 2.3^3 = 12.167 cm^3

Answer:

2(7x-3)=9

14x-6=9

14x=9+6

14x=15

x=15/14

Hey there!

Let's solve this equation!

We have

2(7x-3)=9

Use the Distributive Property & distribute 2:

14x-6=9

Now, add 6 to both sides:

14x=15

Divide both sides by 14:

x=15/14

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)

Answer: 40.82

Step-by-step explanation: You have to multiply pi and 13 to get the answer

Answer:

Step-by-step explanation:

Area of rectangle is:

Substitute the values into equation and find the area:

Area

Answer:

Sure!

Step-by-step explanation:

So a radical(or a root) is the opposite of the exponent(for example square root is the opposite of the square of a number). Graphically it's not but it's more simple to think of it like that. Simplifying integer radicals is simple. For example, the square of 11 is 121, so sqr121 (√121) is equal to 11. Other radicals/powers are similar. cuberoot27= 3 because 3^3 is 27. If you add variables, the same thing happens. You can think of the √ as a funnel where only the numbers "big enough" can leave. If you have √xy^2z^3,

the x would have to stay because it's only to the first power, the √y^2 would be reduced to just y, and one pair of zs can come out resulting in z√z. The final answer to √xy^2z^3 would be yz√xz. Hope that helps :)

The function [tex]f(x) = 4\sqrt[3]{x}[/tex] is a cube root function

The function end behavior is:

[tex]\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty[/tex]

The equation of the function is given as:

[tex]f(x) = 4\sqrt[3]{x}[/tex]

To determine the end behavior, we plot the graph of the function f(x).

From the attached graph of the function, we can see that:

As x approaches infinity, the function f(x) approaches infinity, and vice versa

Hence, the function end behavior is:

[tex]\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty[/tex]

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Answer: True.

Step-by-step explanation: Lines that don't intersect are parallel lines, and those are not parallel.  Parallel lines look like the image below.  The point of intersection in your image is where K is.  

Hope this helps! :)