x-2 =3 (x-4) two column proof but i can figure out the reasons on my own.

Answer:

y - 6

Step-by-step explanation:

Given

y² - 10y + 24

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the y- term (- 10)

The factors are - 4 and - 6, since

- 4 × - 6 = + 24 and - 4 - 6 = - 10, thus

y² - 10y + 24 = (y - 4)(y - 6)

Thus the other factor is (y - 6)

(y - 4) and ( y - 6 ) are the factors of the quadratic equation

The equation ax2 + bx + c=0 in one variable, with a 0, is known as a quadratic equation. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.The answer could be simple or complicated.

The roots of the quadratic equations are

x = [-b ± √ (b² - 4ac)] / ( 2a ) ( 2a )

Since (b2 - 4ac) is positive, we have two real solutions where (b2 - 4ac) is the discriminant.

When the discriminant is 0, there is just one viable option (both answers are the same)

In the case of a negative discriminant, two complicated solutions are obtained.

Let the quadratic equation be expressed as A given the data.

Right now, A is valued at

y² - 10y + 24   be equation (1)

The quadratic equations' roots are

y = [ -b ± √ ( b^2 - 4ac ) ] / ( 2a )

y = 10 ± √ ( 100 ) - ( 4 ( 24 ) ) / 2

y = ( 10 ± √4 ) / 2

y = ( 10 ± 2 ) / 2

As a result, y has two values of 10 + 2 / 2 and 6

And , y = (10 - 2) / 2 y = 4

In addition, the variables in the equation are

( y - 4 ) ( y - 6 ) = y² - 10y + 24

The quadratic equation is therefore resolved.

Go here for additional information about quadratic equations.

https://brainly.com/question/25652857

#SPJ6

Answer: Rational number.

Step-by-step explanation:

Rational numbers:

Any number which can be expressed in the form of p/q.

Where q is not equal to Zero.

p,q are integers.

Here in 2/4 ,

p=2

q=4

Answer:  Rational

Step-by-step explanation:

A rational number is an integer divided by an integer where the result is a terminating or repeating decimal.

2 x 2 = 4    --> 4 is terminating  so it is a rational number.

If you are in a higher level math class, the reason is:

Rationals are CLOSED over multiplication.

Answer:

  30%: 35 liters

  50%: 35 liters

Step-by-step explanation:

The desired concentration is halfway between the concentrations of available solutions, so the mixture will be equal amounts of each.

  35 liters of 30% acid and 35 liters of 50% acid must be used

_____

If you want to write an equation, it usually works well to let the variable represent the amount of the most concentrated constituent: 50% acid. Then the amount of acid in the final mix is ...

  0.50x +0.30(70 -x) = 0.40(70)

  0.20x +21 = 28 . . . . simplify

  0.20x = 7 . . . . . . . . . subtract 21; next, divide by 0.20

  x = 35 . . . . . . amount of 50% solution (liters)

  70-x = 35 . . . amount of 30% solution (liters)

Answer:

C.

Step-by-step explanation:

Range is the set of y-values that are outputted by x-values in a function.

We see that our y-values span from -1 to 3, and since they are closed dots, they are included in our range. Therefore, our range is C.

Answer:

complement of set A={2,4,6}

hope it helps

plz mark as brainliest

Answer:

3z = 2z + 5

when z=5

3*5=2*5+5

15=15

so true

Step-by-step explanation:

Answer:

-3.

Step-by-step explanation:

=  6(Sum+8) = 30

=  6Sum + 48 = 30

= 6Sum = -18

= Sum = -3

Hope this helps you :)

Answer:

the answer to this is 6(-3+8)=30

Answer:

(x/90)² + (y/90)² - z²/343750

Step-by-step explanation:

we assume that the horizontal cross-sections are circles,

From our equation

a= b

Given the minimum diameter as 180

The trace= ,0

Minimum radius a= 180/2= 90

The base of the tower is the trace in Z = -500

using the equation of hyperbole of one sheet below

(x/a)² + (y/b)² - ( (z/c)²=1

a= 90

+((-500)²/c)²

x² +y²=90²+ 55000²/c²

diameter at base= 260/2=130m

130² + 55000²/c²= 130²

We can find c

c²=55000²/(130²/90²) = 1210000/8800

= 343750

hence, the equation is

(x/90)² + (y/90)² - z²/343750

Answer:

3 1/4

Step-by-step explanation:

4 1/16÷1 1/4=

65/16÷5/4=

65/16*4/5=

260/80=

3 20/80=

3 1/4

Answer:

Step-by-step explanation:

Using the product rule for radicals and the fact that multiplication is commutative, we can multiply the coefficients and the radicands as follows.

Use the distributive property when multiplying rational expressions with more than one term.

Hi There!!

I think your answer is:

[tex]\sqrt[8]{5}+ \sqrt[3]{30}[/tex]

I'm not sure this 100% right....

[tex]\sqrt{HopeThisHelps}[/tex]

[tex]Loserbrazts[/tex]

ヾ(•ω•`)o

Answer:

266 1/4th. I hope this helped, and I would appreciate it if you gave it a good rating. :)

Step-by-step explanation:

1,065 ÷ 4 = 266 and remainder = 1 =>

1,065 = 266 × 4 + 1 =

1,065/4 =

(266 × 4 + 1) / 4 =

266 + 1/4 =

266 1/4

The required division is given as 4260 / 10 = 426.

Given that,
The solution to the division problem writtren as a mixed number is 10x426=4260

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here.
10 * 426 = 4260
4260  / 10 = 426
Dividend / divisor = quotient,

Thus, the required division is given as 4260 / 10 = 426.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

67thnhttbny

Step-by-step explanation:

An algebraic expression that represent h how much she paid in all is 2(g+ 1) + d.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The following represents the items bought

Each bag has g gupples and one tetra.

She also bought one box of fish food that cost d dollars.

The expression that represents the items in a bag will be;

bag = g + 1

So, the total spent on fish food is:

2(g + 1)

Fish food

A box costs d dollars.

This means that, the total amount Ms. Wilson spent in the store is 2(g+ 1) + d

An algebraic expression that represent h how much she paid in all is 2(g+ 1) + d.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

The Answer Is x=-2

Hope This Help's

Answer:

[tex] \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star[/tex]

Step-by-step explanation:

[tex]: \implies{ - 3(2x - 1) - 3x - 4 = 17}[/tex]

[tex]: \implies{ - 6x + 3 - 3x - 4 = 17}[/tex]

[tex]: \implies{ - 6x - 3x + 3 - 4 = 17}[/tex]

[tex]: \implies{ - 9x - 1 = 17}[/tex]

[tex]: \implies{ - 9x = 17 + 1}[/tex]

[tex]: \implies{ - 9x = 18}[/tex]

[tex]: \implies{ \displaystyle{x = \frac{18}{ - 9} }}[/tex]

[tex] \: \: \: \: \: \: \: \: \star{ \: \implies{ \red{x = - 2}}}[/tex]

Answer:- the equation have -2x common.

Answer:

Step-by-step explanation:

To make the denominator same, find Lease common denominator of 2 and 7

LCD of 2 and 7 = 2*7 = 14

[tex]\frac{-3}{2}+\frac{3}{7}=\frac{-3*7}{2*7}+\frac{3*2}{7*2}\\\\\\=\frac{-21}{14}+\frac{6}{14}\\\\\\=\frac{-21+6}{14}\\\\\\=\frac{-15}{14}\\\\\\=-1\frac{1}{14}[/tex]

Answer:

-15/14

Step-by-step explanation:

Find the Least Common Denominator (LCD) for the two fractions, so the operation can be performed. The LCD is constructed from the factors the fractions have, making sure that all factors they need are included.

In our case, for the first fraction, the factor 2 is needed, and for the second fraction, the factor 7 is needed. Then the LCD is: 2 * 7 = 14

So now, let's write both denominators with the same LCD, by finding the appropriate equivalent fractions:

- 3 /2 = - (3*7) / (2*7) = -21 / 14

3 / 7 = (3*2) / (7*2) = 6 / 14

Therefore the combining can now be performed and renders:

- (21/ 14) + (6/ 14) = - (15/14)

The result is then the fraction : -15/14

Answer:

20 songs

Step-by-step explanation:

Robyn sang a total of 13 songs for a population of 62000 people, the per capita is the ratio of the total songs sang to the total number of people. Hence:

Robyn per capita = songs performed / population = 13 / 62000

Beyonce sang to a population of 91000 people, given that Beyonce and Robyn had the same per capita, therefore:

Beyonce per capita = songs performed / population

13/62000 = songs performed / 91000

songs performed = 13/62000 × 91000 = 19.08

songs performed ≈ 20 songs

Beyonce is expected to sing about 20 songs

Answer:

Around 20

You can use the Distributive property-

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Answer:

120 people

Step-by-step explanation:

Length of dance floor = 30 ft

Width of dance floor = 20 ft

Given that 2 people will occupy 5 ft² of space, the number of people that will crowd the floor of the dance floor is calculated as follows:

= Area of dance floor ÷ 5 ft²

= (30*20) ÷ 5

= 600 ÷ 5

= 120.

120 people will crowd the dance floor.

Answer:

Kay has 7 blue balloons

Step-by-step explanation:

if Sal has 5 red balloons and 2 blue balloons and Kay has 5 more blue balloons than Sal the Kay has 7 blue balloons

The number of blue balloons does Kay have is 7.

Given that, Sal has 5 balloons. He has 3 red balloons. The rest are blue.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of blue balloons does Kay have be x.

Number of blue balloons Sal have = 5-3=2

The number of blue balloons does Kay have = Kay has 5 more blue balloons than Sal

⇒ x = 2+5 = 7

Therefore, the number of blue balloons does Kay have is 7.

To learn more about an equation visit:

brainly.com/question/14686792.

#SPJ5

Answer:

the answer is 2

Step-by-step explanation:

Answer:

The answer would be E.

When you solve 25 x 1/5, you get 5.

When you solve 25 ÷ 5, you get 5.

The equivalent expression is 25 ÷ 5.

Option E is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example.

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

25 x 1/5

= 25 x 1/5

= 5 x 5 x 1/5

= 5

Now,

1/25 x 5

= 1/5

1/25 x 1/5

= 1/125

1/25 ÷ 1/5

= 1/25 x 5

= 1/5

5 ÷ 25

= 5/25

= 1/5

25 ÷ 5

= 5

We see that,

25 x 1/5 and 25 ÷ 5 have the same value.

Thus,

The equivalent expression is 25 ÷ 5.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Answer:

Area of a CIRCLE with radius of 3 inches is

PI * radius^2 =

3.14159265 * 3^2 =

28.27433385  square inches.  

Since we are dealing with a SEMI-CIRCLE, we divide that by 2 and get:

14.137166925  square inches which rounds to about

14.14 square inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the midpoint of PR be Q(-1,3) where P is (5,6). To get the other coordinate R, we will use the midpoint formula as shown;

Q(X,Y) = {(x₁+x₂)/2, (y₁+y₂)/2}

From the formula;

X = (x₁+x₂)/2 and Y = (y₁+y₂)/2

From the coordinates given, X = -1, Y = 3, x₁ = 5 and y₁ = 6. To get x₂ and y₂, we will substitute the given points into the expressions above;

To get  x₂;

X = (x₁+x₂)/2

-1 = (5+x₂)/2

cross multiply

-1*2 = 5+x₂

-2 = 5+x₂

subtract 5 from both sides

-2-5 = 5+x₂-5

x₂ = -7

Similarly to get y₂

Y = (y₁+y₂)/2

3 = (6+y₂)/2

cross multiply

3*2 = 6+y₂

6 = 6+y₂

subtract 6 from both sides

6-6 = 6+y₂-6

y₂ = 0

Hence the coordinate of R(x₂, y₂) is (-7,0)

Answer:

m = $12 per week

Step-by-step explanation:

The equation would be 8m + $150 = $246. To find out how much money you earn a week, you need to solve for m.

First, subtract $150 from both sides of the equation. Doing so will leave you with an equation of 8m = $96.

Next, divide both sides by 8. This will leave you with m = $12, which is your final answer of how much money you earn a week.

Answer:

a^2+B^2=c^2

Step-by-step explanation:

Step-by-step explanation:

(Hyp)² = (Base)² + (Height)²

C² = a² + b²

C= √a²+b²

This is the formula to find Hypotenuse of a right angled triangle

Answer:

Irrational

Step-by-step explanation:

Answer:

false. an irrational number multiplied to a zero equals an irrational number.

Answer:

0.99+10=10.99

Step-by-step explanation:

Answer:

Slope = -1

Step-by-step explanation:

Given coordinates,

→ x1 = -2

→ y1 = 1

→ x2 = -3

→ y2 = 2

Now we have to,

→ Find the slope using slope formula.

Formula we use,

→ Slope (m) = (y2 - y1)/(x2 - x1)

Let's find the required slope,

→ m = (y2 - y1)/(x2 - x1)

→ m = (2 - 1)/(-3 - (-2))

→ m = (2 - 1)/(-3 + 2)

→ m = 1/(-1)

→ [ m = -1 ]

Hence, the value of slope is -1.