Відповідь: 1)
5. Розв'яжіть систему рівнянь способом підстановки
2)
3y = 10,
5х + y = 2.
-

The GCF of [tex]12w^{2} - 4w^{3}[/tex] is [tex]4w^{2}[/tex].

The Greatest Common Factor (GCF) of two or more numbers is defined as the factors which is common and highest .

For Example The GCF of 6 and 8

express 6=2*3

             8=2*2*2.    since 2 is common in both the GCF is 2.

In the given question

we need to factor out gcf from [tex]12w^{2} - 4w^{3}[/tex]

first express both terms in prime factors

[tex]12w^{2} =3*4*w*w[/tex]

and

[tex]4w^{3} =4*w*w*w[/tex]

the equation becomes

[tex](3*4*w*w-4*w*w*w)[/tex]

we can see that [tex]4*w*w[/tex] is common in both the terms .

So we can write [tex]4w^{2} (3-w)[/tex]

Therefore [tex]4w^{2}[/tex] is the gcf by factoring of [tex]12w^{2} - 4w^{3}[/tex].

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Answer:

AB +BC + AC = 180

x - 6 + 2x + 10 + x - 31 = 180

3x - 27 =180

3x= 207

x=69

The input value is x = 1.5

In the graph the intersection both functions is the point when f(x)=g(x)

the point of intersection both graphs is (1,5,2)

that means

for the input value of x = 1.5

f(1.5) = g(1.5) = 2

The input value is x = 1.5

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The question is incomplete, the complete question is

Use the graph to determine the input value for which f(x) = g(x) is true.

A. x = 0.5

B. x = 1

C. x = 1.5

D. x = 2

Answer:

x=1.5

Step-by-step explanation:

edge 2022

The solution of the quadratic equation is x=5±√35 .

A quadratic equation is given by the equation which can be written in the form ax²+bx +c.

the given quadratic equation is :

x²-10x+25=35

Simplifying the equation we get:

or, x²-10x+25-35=0

or, x²-10x-10=0

Now we will solve the equation by completion squares method:

x²-10x-10=0

or, x²-2×x×5+5²-5²-10=0

or, (x-5)²=35

or, x-5=±√35

or, x= 5±√35

Therefore the solution of the quadratic equation is 5+√35 and 5-√35 .

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∠1 and ∠ 2 are linear pairs and have a sum of 180° so they will be supplementary angles.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In the given image ∠1 and ∠ 2 are linear pairs.

Now,

∠1 = ∠3 (opposite angle)

∠2 = ∠4 (opposite angle)

Now,

∠1 + ∠2 + ∠3 +∠4 = 360°

(∠1 + ∠2) + 180° = 360°

(∠1 + ∠2) = 180°

If the sum of two angles is 180° then they will be supplementary angles.

Hence "∠1 and ∠ 2 are linear pairs and have a sum of 180° so they will be supplementary angles".

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Answer:

A

Step-by-step explanation:

31 divided by 31 is 1 (Since fractions are basically division)

The percent of population in the situation is 20 %.

Percentage means a number or a ratio represented in the form of fractions of 100. It is represented using the percentage sign ‘%’.  In other words, the percentage is defined as how much of one quantity is made by another quantity and it is evaluated in terms of 100.

We have to find the percentage of population 90 out of a population of 450 people represents.

We know that, the formula for percentage will be:-

(Given people/ Total people)*100

Here,

Given people = 90

Total people = 450

Hence, the percentage will be :-

= (90/450)*100 = (1/5)*100 = 20 % .

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Answer:

linear algebra, an n-by-n square matrix A is called invertible, if there exists an n-by-n square matrix B such that \mathbf {AB} =\mathbf {BA} =\mathbf {I} _{n}\ where Iₙ denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.

Answer:

Brainliest pls

Step-by-step explanation:

The inverse of a square matrix A, denoted by A-1, is the matrix so that the product of A and A-1 is the Identity matrix.

√x+7 The solution to the equation is x=-3.

Square root: If we take the square root of a number and then take the square of the outcome, we get the original number back again.

   e.g.  4 = 2 and 22 = 4.

We can say that the square root and the square cancel each other out. They are the inverse of each other.

If we have a number written with the index 2 ( squared) then taking the square root simply means that we leave out the 2 ( this only applies to positive numbers ).

We can therefore take any squared numbers that are under the square root sign out from under the root sign by leaving out the power 2.

The solution to the equation√x+7= -2.

√x+7= -2

First we take Squaring on both sides

(√x+7)2= (-2)2

x+7 = 4

x=-3.

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When Angelo drove home from college with an average speed of 71.7 mph and back to college with an average speed of 64.1 mph, she took 5 hours for full trip then the time taken to travel from home to college is 2.63 hours

Given,

The average speed from college to home = 71.7 mph

The average speed from home to college = 64.1 mph

We know,

Speed =  Distance / Time

Consider the total distance as x

Time taken = Distance / Speed

Then the time taken to travel from college to home  = [tex]\frac{x}{71.7}[/tex] hours

time taken to travel from home to college = [tex]\frac{x}{64.1}[/tex] hours

Total time taken = 5 hours

Then the equation will become

[tex]\frac{x}{71.7}+\frac{x}{64.1}=5[/tex]

Cross multiply the terms

[tex]\frac{64.1x+71.7x}{(71.7)(64.1)}=5\\ \frac{135.8x}{4595.97}=5[/tex]

135.8x= 5×4595.97

135.8x=22979.85

x=169.21

Time taken to travel from home to college =[tex]\frac{169.21}{64.1}[/tex]

=2.63 hours

Hence, When Angelo drove home from college with an average speed of 71.7 mph and back to college with an average speed of 64.1 mph, she took 5 hours for full trip, then the time taken to travel from home to college is 2.63 hours

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the original price of the workout tops is $18.95

Let's say that the original price is x, we know that the tops are on sale for $6.00 off the original price, so if Yazmin buys 4 of these, the cost will be:

C(x) = (x - $6.00)*4

And we know that the cost is $51.80, replacing that we get:

$51.80 = (x - $6.00)*4

Now we need to solve this linear equation for x.

$51.80/4 = x - $6.00

$51.80/4 + $6.00 = x = $18.95

We conclude that the original price of the workout tops is $18.95

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Answer:

nuts

Step-by-step explanation:

Answer:2 and 5

Step-by-step explanation:

i don't know a lot but hope it helped

The value of x will be 8 for the number 67081 which is a perfect square.

In the given situation, it is stated that a number 670X1 is equal to 67100, correct to three significant digits. This tells us that the second digit should be greater than 5.

So, we get x ≥ 5.

By keeping all values of x ≥ 5 in 670X1, we get these numbers.

67051 , 67061, 67071, 67081, 67091

We need to find out which of the following numbers is a perfect square.

Taking √67081, we get a perfect square.

√67081 = 259.

So, 67081 is a perfect square of 259.

Hence, the value of X will be 8 for the number 670X1.

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Step-by-step explanation:

4x^2 +10+ 2(2x+4)

4x^2 + 10x+4x+8

4x^2 +14x+8

4x^2+16x-2x -8

4(x+4)+2(x+4)

4+2(x+4)

6(x+4)

Answer:

The triangle has sides lengths 28, 56, 48

Step-by-step explanation:

Let x = the shortest side

So then the longest side will be 2x, because the question said that "the longest side... is twice the length of the shortest side" Then the third side would be x + 20.

The perimeter was given so add all the sides and set it equal to 132.

x + 2x + x + 20 = 132

Combine like terms.

4x + 20 = 132

Subtract 20

4x = 112

Divide by 4.

x = 28

Then use x = 28 to find the lengths of all the sides.

Shortest Side:

x = 28

Longest Side:

2x

= 2(28)

= 56

Third Side:

x + 20

= 28 + 20

= 48

Answer:

Step-by-step explanation:

If you make a list of factors for 18 you will get 1, 2, 3, 6, 9 and 18.

If you make a list of divisors you will get 1, 2, 3, 6, 9 and 18.

yes the factors of the numbers are also divisors because factors are numbers that go into 18, and we can use those same numbers for dividing with the number 18.

so this is complicated

1)

y = 180°-(21°+34°)

y = 180°-55°

y = 125°

x = 180°-125°

x = 55°

Answer: 3 dollars

Step-by-step explanation: He bought 10 chicken wings. 10/10 is 1. If you buy 3 wings, it's 1+1+1 which is 3.

Supplementary angles have a sum of 180°

Therefore, we can add the expressions for Angles A and B and set their sum equal to 180.

( 7x - 15 ) + ( 2x - 3 ) = 180

Now we can combine like terms and use inverse operations to find the value of x:

( 7x - 15 ) + ( 2x - 3 ) = 180

9x - 18 = 180

9x - 18 + 18 = 180 + 18

9x  = 198

9x/9 = 198/9

x = 22

Then Angle A will have a measure of 7x - 15 or 7• 22 -15 = 154 - 15 = 139°

m∠A = 139°

The measure of Angle b will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°

m∠ B = 41°

NOTE:  139 + 41 = 180

The significant benefit of a cumulative frequency polygon above a histogram and frequency polygon is that it can demonstrate the total number of observations that are less than the upper limit of a specific class.

A line segment-joined plot of a cumulative frequency against by the upper class boundary. An ogive would be any continuous cumulative frequency curve, along with a cumulative frequency polygon.

Some main points related to cumulative frequency polygon are-

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Answer:The answer would be 14 squishy cupcakes

Step-by-step explanation:Please give brainliest if right.

Answer: 14 (Im assumning you want to know what 14% of 100 is)

Step-by-step explanation:

100 * 14% (0.14) = 14

Add 100 into a calculator, hit multiply, type 14 then the percent button. Press equal and you should get 14.

Usually a percentace of 100 is that number.

Answer:

Hello.

Step-by-step explanation:

Answer:

a) 80>3x+38

Step-by-step explanation:

Gigabyte cost + flat cost < $80

Flat cost = $38

x = number of gigabytes

$3 = money charged per gigabyte

Gigabyte cost = 3x

Answer:

3x + 38 < 80 OR 80 > 3x + 38

The value of the arcsin of 3 is 90 - 100.998i

From the question, we are to determine the inverse sine or arcsine of the given number

The given number is 3

All the values for the sine of angles are less than or equal to 1

That is,

Given an angle θ,

sinθ ≤ 1

From this, we can infer that the arcsine of 3 will be an imaginary number.

The arcsine of 3 is

sin⁻¹(3) = 90 - 100.998i

Hence, the value of the arcsin of 3 is 90 - 100.998i

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Answer: x = 7

Step-by-step explanation:

1. Set line PS equal to QR

2x - 3 = 11

2. Add 3 to both sides:

2x = 14

3. Divide both sides by two:

2x/2 = 14/2

4. Simplify

x = 7

Answer: 8 weeks

Step-by-step explanation: 25x4 =100 double it that makes 25x8=200 then 500 - 200 = 300

Answer:

12

Step-by-step explanation:

500 is what we are starting with and 300 is the endpoint.

if he spends 25 a week, we can multiply 25 12 times and we get 300

25•12= 300

By solving the equations, We get

[tex](\frac{34}{31} ,\frac{10}{31} )[/tex]

A unique solution to a set of linear simultaneous equations exists if and only if,

(A) There are the same number of equations and unknowns.

(b) Each equation is valid.

(c) All equations are independent and there is no linear connection between any two or more equations.

Given:

[tex]2(3x+y)=y-x+8[/tex]

[tex]x-\frac{4}{3}\;y=\frac{2}{3}[/tex]

Solving the equations,

[tex]2(3x+y)=y-x+8[/tex]

[tex]6x+2y=y-x+8[/tex]

[tex]7x+y=8\;\;\;\;\;------equation(1)[/tex]

[tex]x-\frac{4}{3}\;y=\frac{2}{3}[/tex]

[tex]\frac{3x-4y}{3}=\frac{2}{3}[/tex]

[tex]3x-4y=2 \;\;\;\;\;------equation(2)[/tex]

By solving equation(1) and (2), We get

[tex]x=\frac{34}{31}[/tex]

Substitute the value of x in equation(1),

[tex]7\;(\frac{34}{31}) +y=8[/tex]

[tex]y=8-7(\frac{34}{31} )[/tex]

[tex]y=8-\frac{238}{31}[/tex]

[tex]y=\frac{248-238}{31}[/tex]

[tex]y=\frac{10}{31}[/tex]

Therefore, The points (x, y) is,

[tex](\frac{34}{31} ,\;\frac{10}{31} )[/tex]

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