Factor.



8x2y2 – 4x2y – 12xy



4(8x2y2 – x – 12xy)


4(2xy – 4x2y – 12xy)


4x2y2(2xy – xy –3)


4xy(2xy – x – 3)

Answer:

5(5 + 2)

Step-by-step explanation:

The distributive property states that If 2 numbers have a common factor you can divide the common factor out. Similarily, if they share a common factor, you can distribute the common factor into each number in the parenthesis.

Find the factors of 25 & 10:

25: 1, 5, 25

10: 1, 2, 5, 10

Note that the largest common factor is 5. Divide 5 from both number:

(25 + 10)/5 = 5(5 + 2)

5(5 + 2) is your answer.

~

Answer:

I believe it's C.

Step-by-step explanation:

Hope my answer has helped you!

Answer:

consistent.

Step-by-step explanation:

Consistent solution: When two lines cut at one point. The solution of system of equation is unique.Then, the solution is consistent.

Equivalent solution: When two lines are coincide then, system of equation is equivalent.

In other words, the solution set of two equation are same then, the equation is called equivalent system.

Inconsistent solution: The  system of equation is called inconsistent when there is no solution or lines do not cross .

In given figure, two lines cross at point (3,2).

Therefore, there is one solution of system of equation.

Hence, the system of equation is consistent.

The greatest value is 8, which means n can be either 8 or any number less than 8.

The inequality would be n is less than or equal to 8, which is written as:

n ≤ 8

Answer:

this is from two years ago so can i just-

Step-by-step explanation:

Answer: I'm pretty sure it's A!

Answer:

it's A because when you find the slope you fill find 1 over 3 and it's visible in the graph that the intercept is -1.3 so when you connect the function it will give you that the function is bigger or equal than y.

Answer:

e =0 or e= -4

Step-by-step explanation:

First we'll equate the given equation with zero then it'll be proper answer and after that it follows like this

By taking e has common

[tex]e(e + 4) = 0 \\ [/tex]

Now,

From this we compare both equation separately and we get

e=0 and e= -4

Note:- If you don't wanna equate the equation with 0 then your answer will be

[tex]e(e + 4)[/tex]

Hope it helps you ...☺

Step-by-step explanation:

Here,

e²+4e

If we take e common we will get,

=e. e+ 4e

= e(e+4)

Which is your final result but you cannot equate it to zero because it is not mentioned in the question. But I think the question is incomplete.

Hello!

2.x^2 - 1 = 2.3^2 - 1 = 2.9 - 1 = 18-1 = 17

Good luck!

Answer:11

Step-by-step explanation:2(3)x2-1=11

[tex]\dfrac{9}{14}-\dfrac{9}{20}[/tex]

The denominator of both fractions is different however the numerator is the same therefore we can conclude that the fraction with bigger denominator will be smaller than the one with smaller denominator.

Therefore [tex]\dfrac{9}{14}>\dfrac{9}{20}[/tex]

Hope this helps.

r3t40

1172. 08 in²

Hi there !

A(prism) = 2(lw + lh + wh) - Ab(cylinder)

= 2(16*11 + 16*11 + 11*11) - πr²

= 2(176 + 176 + 121) - 3.14*16

= 2*473 - 50.4

= 946 - 50.24

= 895.76 in²

A(cylinder) = πr² + 2πr*h

= 3.14*16 + 2*3.14*4*9

= 50.24 + 226.08

= 276.32 in²

A(total) = 895.76in² + 276.32in² = 1172.08 in²

Good luck !

Answer:

Let 'x' and 'y' be two different numbers.

Leila says that 75% of a number will always be greater than 50% of a number. The inequality that represents this statement is the following:

0.75x > 0.5y

Let x = 100 and y=200. We have that:

0.75(100) > 0.5(200)

75 > 100 ❌ INCORRECT ❌

Given that we found a case in which 75% of a number is not greater than 50% of a number, we can conclude that Leila's claim is incorrect.

[tex]

3x-y=2 \\

x+y=6 \\ \\

4x=8\Longrightarrow x=\boxed{2}

[/tex]

The x coordinate is equal to 2.

Here we used elimination to eliminate y by adding both equations.

Hope this helps.

r3t40

Answer:

The first question is c

Answer:

The first question is c

Step-by-step explanation:

yes its correct

Answer:

-16

Step-by-step explanation:

The average of –25, –70, 15, –31, –25, and 40 is -16

To determine the average of the numbers given, we shall find their sum then divide this sum by the number of values;

The sum of the numbers is;

-25-70+15-31-25+40 = -96

We have a total of 6 values, thus the average becomes;

(-96)/6 = -16

Answer: FIRST OPTION.

Step-by-step explanation:

To calculate the average of a set of numbers, we need to add the numbers and divide the sum by the amount of values into that set.

For example, given a set of numbers:

[tex]a,b,c,d[/tex]

The average will be:

[tex]average=\frac{a+b+c+d}{4}[/tex]

Then, the average of the given set of numbers (-25, -70, 15, -31, -25, and 40) is:

[tex]average=\frac{-25+(-70)+ 15+(-31)+(-25)+40}{6}\\\\average=\frac{-25-70+ 15-31-25+40}{6}\\\\average=-16[/tex]

any point that is on the circle will  have a distance of "radius" units, namely 13 units, since the radius is just that.

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{origin}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})}\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{12})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(-5-0)^2+(12-0)^2}\implies d=\sqrt{(-5)^2+12^2} \\\\\\ d=\sqrt{25+144}\implies d=\sqrt{169}\implies d=13[/tex]

Final answer:

The point (-5, 12) lies on the circle with a radius of 13 and a center at the origin because it satisfies the equation [tex]x^2 +[/tex] [tex]y^2 = 13^2.[/tex]

Explanation:

The student is asking which point lies on the circle with a center at the origin and a radius of 13. To determine if a point lies on a circle defined by the equation [tex]x^2 + y^2 = r^2,[/tex] where r is the radius, we plug the point's coordinates into the equation and see if they satisfy it.

Let's examine each point:

[tex](-5, 12): (-5)^2 + (12)^2 = 25 + 144 = 169[/tex]

[tex](13, 13): (13)^2 + (13)^2 = 169 + 169 does not equal 169[/tex]

[tex](6, -7): (6)^2 + (-7)^2 = 36 + 49 = 85 does not equal 169[/tex]

Therefore, the point (-5, 12) lies on the circle because it satisfies the equation [tex](-5)^2 + (12)^2 = 13^2.[/tex]

Answer:

I think its 30 I'm not 100% sure tho

Answer:

30

Step-by-step explanation:

To know how many cubes were used to create a resctangular prism you only have to calcute the volume of the rectangular prism, in order to do this you´ll need the next formula:

[tex]BxH[/tex]

Which is base area, multiplied by the height:

5x2= 10 units of base.

The base you multiply it by 3:

10x3=30

The total volume is 30 units, and those are the number of units needed to make the rectangular prism.

For this case we have that by definition of properties logarithm is met:

[tex]log_ {b} (x) -log_ {b} (y) = log_ {b} (\frac {x} {y})[/tex]

So, rewriting the expression we have:

[tex]log (\frac {9x} {2 ^ 3}) = 3\\log (\frac {9x} {8}) = 3[/tex]

By definition of logarithm we have to:

[tex]log_ {b} (x) = y[/tex]is equivalent to[tex]b ^ y = x[/tex]

So:

[tex]10 ^ 3 = \frac {9x} {8}\\9x = 8 * 10 ^ 3\\9x = 8 * 1000\\9x = 8000\\x = \frac {8000} {9}[/tex]

ANswer:

[tex]x = \frac {8000} {9}[/tex]

Answer:

Step-by-step explanation: i got it right on edg

Step-by-step explanation:

Step-by-step explanation:

When an object is thrown at an angle with horizontal under the action of gravity is called projectile motion and the object which is thrown is called a projectile. The path followed by the object is parabolic. An object when thrown in upward direction, after reaching maximum height it will come back to ground.

Graph (b) shows the path of a projectile.

It would take Petra 104 minutes to jog 13 miles

because 40/5 is 8 minutes per mile

you'd multiply 13 miles by 8 minutes

Answer:

i. Irrational numbers

ii. Real numbers

Step-by-step explanation:

The given decimal is –0.249851765...

This number does not recur and it does not also terminate.

It belongs to the set of irrational numbers because it cannot be written in the form [tex]\frac{a}{b}[/tex] where [tex]a,b\in R[/tex] and [tex]b\ne0[/tex].

This numbers also belongs to the set of real numbers.

Answer:

irrational

Step-by-step explanation:

Answer:

The correct answer option is [tex] \frac { 1 1 } { 2 5 } [/tex].

Step-by-step explanation:

We are given the following rational expression and we are to evaluate and find its value when x is equal to 5 ([tex] x = 5 [/tex]:

[tex] \frac { 2 x + 1 } { x ^ 2 } [/tex]

So substituting the given value of [tex] x [/tex] to find the value of the given rational expression:

[tex] \frac { 2 (5) + 1 } { 5 ^ 2 } [/tex] = [tex] \frac { 1 1 } { 2 5 } [/tex]

Answer:

The correct answer is third option

11/25

Step-by-step explanation:

It is given an expression (2x + 1)/x²

To find the value of x

We have (2x + 1)/x²

When x = 5, substitute the value of x in expression we get,

(2x + 1)/x² = (2 * 5 + 1)/5²

= (10 + 1)/25

 = 11/25

The correct answer is third option

11/25

Answer:

81 π / 254.469004941 ft²

Step-by-step explanation:

Area of circle = π × r²

Half the diameter = radius

18 ft ÷ 2 = 9 ft

9 ft = radius

Area of circle = π × 9²

Area of circle = 81π

Area of circle = 81 π / 254.469004941

Area of circle =

To find the area of a circle with a diameter of 18 feet, first find the radius (9 feet), then apply the formula A = πr². The area is approximately 254.47 square feet.

To find the area of a circle, you need to use the formula:

A = πr²

Given the circle's diameter is 18 feet, we first need to find the radius. The radius (r) is half the diameter:

r = D / 2 = 18 ft / 2 = 9 ft

Now, substitute the radius back into the area formula:

A = πr² = π(9 ft)² = π(81 ft²)

Using the approximation π ≈ 3.14159, we get:

A ≈ 3.14159 × 81 ft² ≈ 254.47 ft²

Therefore, the area of the circle is approximately 254.47 square feet.

Answer:

There are [tex]4.93\times 10^{22}[/tex] copper atoms in 5.2 gram of metallic copper.

Step-by-step explanation:

Start by finding the number of moles of copper atoms in that 5.2 gram of metallic copper. Look up the relative atomic mass of copper on a modern periodic table.

In other words, the mass of one mole of copper atoms is 63.546 gram.

[tex]M(\mathrm{Cu}) = \rm 63.546\; g\cdot mol^{-1}[/tex].

How many moles of copper atoms in that 5.2 gram sample?

[tex]\displaystyle n = \frac{m}{M} =\rm \frac{5.2\; g}{63.546\; g\cdot mol^{-1}} = 0.0818305\; mol[/tex].

Now, how many atoms is [tex]\rm 0.0818305\; mol[/tex]?

The Avogadro's Number gives the number of particles in one mole:

[tex]N_A \approx \rm 6.022\times 10^{23}\;mol^{-1}[/tex]. (Encyclopedia Britannica)

There are [tex]6.022\times 10^{23}[/tex] particles (a very large number) in one mole. [tex]\rm 0.0818305\; mol[/tex] of copper atoms will thus contain

[tex]N = n\cdot N_A \approx \rm 0.0818305\; mol\times 6.023\times 10^{23}\;mol^{-1} \approx 4.93\times 10^{22}[/tex]

copper atoms.

Answer:

[tex]5^{11}[/tex]

Step-by-step explanation:

Using the rules of exponents

• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

• [tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

Given

[tex]\frac{5^{12} }{5^{2} }[/tex] × [tex]5^{1}[/tex], then

= [tex]5^{(12-2)}[/tex] × [tex]5^{1}[/tex]

= [tex]5^{10}[/tex] × [tex]5^{1}[/tex]

= [tex]5^{(10+1)}[/tex]

= [tex]5^{11}[/tex]

Answer:

Step-by-step explanation:

Let's say the circulation for newspaper 1 is X. Then the circulation for newspaper 2 is smaller, by 382, so we can call it (X - 382). It's really 382,000 of course, but we can leave off the extra zeros for now.

Anyway, the total of both would have to be X + (X - 382) = 2492. This simplifies to:

2X - 382 = 2492

If you can solve that equation, you'll have the circulation for newspaper 1, in thousands.

Does this give you a push in the right direction?

The circulation of newspaper 1 is 1437 thousand and the circulation of newspaper 2 is 1055 thousand.

This question requires us to use a system of linear equations to solve for the circulation for each newspaper. Let's denote the circulation of newspaper 1 as x and the circulation of newspaper 2 as y.

We have two pieces of information that help us form two separate equations. The first piece of information is that newspaper 1's circulation is 382 thousand more than newspaper 2's circulation, so we can express this as:

x = y + 382

The second piece of information is that the combined circulation of both newspapers is 2492 thousand. Therefore, we form the equation:

x + y = 2492

We can now replace x in the second equation with the value of x from the first equation (y + 382) to solve for y:

(y + 382) + y = 2492

Solving that, we find that y (the circulation of newspaper 2) is 1055 thousand. Substituting y into the first equation, we can solve for x (the circulation of newspaper 1), which is 1437 thousand.

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Given : Function f(x) = x⁵ + (x + 3)²

The Question is to find the image of the given function at x = -1

In order to find the image of a function for a given value, We need to substitute the value in the respective function

[tex]:\implies[/tex]  f(-1) = (-1)⁵ + (-1 + 3)²

[tex]:\implies[/tex]  f(-1) = -1 + (2)²

[tex]:\implies[/tex]  f(-1) = -1 + 4

[tex]:\implies[/tex]  f(-1) = 3

d. 3 is compleates the table

An equation involving x or y, which is also the function, could be written in the form y = “some expression involving x”; that is, y = f ( x). This last expression is read as “ y equals f of x” or means that y is a function of x.

Given,

Function f(x) = x⁵ + (x + 3)²

The problem is to find the image of the given function at x = -1

In order to find the image of the function for a given value, We need to substitute the value in the respective function

 f(-1) = (-1)⁵ + (-1 + 3)²

 f(-1) = -1 + (2)²

 f(-1) = -1 + 4

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For this case we have the following expression:

[tex]-1.5x-3 <5.5[/tex]

Adding 3.1 to both sides of the inequality:

[tex]-1.5x <5.5 + 3\\-1.5x <8.5[/tex]

Dividing between -1.5 on both sides of the inequality, keeping in mind that the sign changes direction:

[tex]x> \frac {8.5} {- 1.5}\\x> -5.66666[/tex]

Answer:

[tex]x> -5.66666[/tex]

x> -5.6 periodical number

Answer:

{x| x > -5.667}

Step-by-step explanation:

We have the following inequality[tex]-1.5x -3 < 5.5[/tex]

We must solve the incus for the variable x

[tex]-1.5x -3 < 5.5[/tex]

Add 3 on both sides of inequality

[tex]-1.5x -3 +3 < 5.5 +3\\\\-1.5x<5.5 +3\\\\-1.5x<8.5[/tex]

Multiply by -1 both sides of the inequality

[tex](-1)*(-1.5)x<8.5*(-1)\\\\1.5x>-8.5[/tex]

Divide between 1.5 both sides of the inequality

[tex]\frac{1.5}{1.5}x>-\frac{8.5}{1.5}\\\\x > -5.667[/tex]

The answer is:

[tex]x > -5.667[/tex]

{x| x > -5.667}

Answer:

144°

Step-by-step explanation:

step 1

Find the measure of the central angle of the regular pentagon

Divide 360 degrees by 5 (the number of sides)

[tex]360\°/5=72\°[/tex]

Let

c----> the center of the pentagon

we know that

m∠ECA=72°

m∠ACB=72°

therefore

m∠ECB=m∠ECA+m∠ACB

substitute the values

m∠ECB=72°+72°=144°

The measure of angle ECB is equal to the degrees that the pentagon rotate

Answer:

$675

$850

$1200

Step-by-step explanation:

Use formula for simple interest:

A = P (1+rt)

where

A = accrued amount (principal + interest) = what we want to find

P = Principal (initial) amount = Given as $500

r = rate of interest = Given as 7% = 0.07

t = time

For 5 years, t = 5

A = 500 [ 1 + 0.07(5) ] = $675

For 10 years, t = 10

A = 500 [ 1 + 0.07(10) ] = $850

For 20 years, t = 20

A = 500 [ 1 + 0.07(20) ] = $1200

Answer:

The regression line fits the data well. Problem can be when there is a trend, like exponential growth, but someone still wants to use linear regression. Although in this case it seems to be okay. In other words, the data points can be found under or over the line randomly. In a problematic case is when for example, there are 5 data points next to each other under the line. Usually companies don't make profit when they're first starting.

First  I focused on 3 or more points that were collinear to each other.  Collinear means that when you connect these points, you get a straight line.  These points are at months 1, 2, 3, and 9.  Then of these points, I chose 2 points to find the slope between them.

Point 1 = (1, 0)

Point 2 = (2, 2.5) or  (2, 2500)         because profit is measured in thousands

These are the first two points.

Slope = (2500 - 0) / (2 - 1)

Slope = 2500 / 1

Slope = 2500

Then I plug in the slope and values of point 1 into the slope-intercept form of the line.

y = mx + b

0 = 2500(1) + b

Now we have to Solve for b.

0 = 2500 + b

-2500 = b

Plug in this value of b into the slope intercept form of the equation to get the best fit line.

 y = 2500x - 2500

Answer:

i agree with the guy above

Step-by-step explanation:

Final answer:

The range of the data set (22, 28, 41, 42) is calculated by subtracting the smallest number from the largest, resulting in a range of 20.

Explanation:

The question asks for the range of a given data set. The range of a set of numbers is the difference between the largest and smallest numbers. In the provided list of numbers: 22, 28, 41, 42, the smallest value is 22 and the largest is 42.

To calculate the range, you subtract the smallest number from the largest number:

Range = Largest number - Smallest number
Range = 42 - 22
Range = 20

Therefore, the range of the data is 20.

Answer:

Final price = 1.06x

Step-by-step explanation:

If a city has a 6% general sales tax, then the total cost of any purchase will be the original price of an item plus 6%, as follows:

Final price = (x + 0.06x) = 1.06x

Therefore, the total cost of any purchase is 1.06 where 'x' represents the price of the items without taxes.