What is the factorization of the trinomial below?
12x2-x-35

Answer

x.x.x.x.x = 5x

Step-by-step explanation:

Answer:

(

−

∞

,

∞

)

this is a link for help

Step-by-step explanation:

Simplify  

5

(

5

x

−

5

)

.

Tap for fewer steps...

Apply the distributive property.

5

(

5

x

)

+

5

⋅

−

5

=

25

(

x

−

1

)

Multiply.

Tap for more steps...

25

x

−

25

=

25

(

x

−

1

)

Simplify  

25

(

x

−

1

)

.

Tap for fewer steps...

Apply the distributive property.

25

x

−

25

=

25

x

+

25

⋅

−

1

Multiply  

25

by  

−

1

.

25

x

−

25

=

25

x

−

25

Move all terms containing  

x

to the left side of the equation.

Tap for fewer steps...

Subtract  

25

x

from both sides of the equation.

25

x

−

25

−

25

x

=

−

25

Combine the opposite terms in  

25

x

−

25

−

25

x

.

Tap for fewer steps...

Subtract  

25

x

from  

25

x

.

0

−

25

=

−

25

Subtract  

25

from  

0

.

−

25

=

−

25

Since  

−

25

=

−

25

, the equation will always be true for any value of  

x

.

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

(

−

∞

,

∞

)

Answer:

61.8 miles/hr

Step-by-step explanation:

Given that

Dennis starts from Boston and travels to Hartford for 101 miles.

And then he travels towards Baltimore which is 410 miles away from Boston.

Time taken from Hartford to Baltimore = 5 hours

Kindly refer to the image attached for the trip of Dennis and the distance traveled by him.

Point A represents Boston.

Point B represents Hartford.

Point C represents Baltimore.

Distance AB = 101 miles

Distance AC = 410 miles

Actually, we are given that Distance BC is traveled in 5 hours.

Distance BC = AC - AB = 410 - 101 = 309 miles

Average Speed is given as:

[tex]\text{Average Speed = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}[/tex]

So,

[tex]\text{Average Speed = }\dfrac{309}{5}\\\Rightarrow \text{Average Speed = }\bold{61.8\ miles/hr}[/tex]

Answer:

5, 769 ft

Step-by-step explanation:

The difference between the elevations is

5,763 ft - (-6 ft) = 5, 769 ft

An expression that uses integers to represent the difference between the elevations is 5763-(-6).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that At its highest point, the elevation of a county is 5,763 feet above sea level. At its lowest point, the elevation of the county is 6 feet below sea level.

If the sea level is assumed to be the origin of a graph, then the elevation above sea level will be represented by a positive y-axis, therefore, the elevation of a county is +5,763. While the elevation below sea level will be represented by a negative y-axis, therefore, the elevation of a county is -6.

Thus, an expression that uses integers to represent the difference between the elevations is,

Difference = Elevation above sea level - Elevation below sea level

= 5763 - (-6)

= 5763 + 6

= 5769

Hence, an expression that uses integers to represent the difference between the elevations is 5763-(-6).

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Answer:

-55

Step-by-step explanation:

Substitute the given numbers for the variables; a = -6, b = -5

5(-6)+5(-5)

-30-25=-55

Hopefully this helps!

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 55}}}}}[/tex]

Step-by-step explanation:

Given, a = -6 , b = -5

[tex] \sf{5a + 5b}[/tex]

plug the value of a and b

⇒[tex] \sf{5 \times ( - 6) + 5 \times ( -5)}[/tex]

Multiply the numbers

⇒[tex] \sf{ - 30 + ( - 25)}[/tex]

We know that , [tex] \sf{( + ) \times ( - ) = ( - )}[/tex]

⇒[tex] \sf{ - 30 - 25}[/tex]

Calculate

⇒[tex] \sf{ - 55}[/tex]

Hope I helped!

Best regards! :D

Answer:

FV= $95,454.20

Step-by-step explanation:

Giving the following information:

Annual deposit= $2,000

Number of periods= 25 years

Interest rate= 5% compounded annually

To calculate the future value of the annual deposits, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

FV= {2,000*[(1.05^25) - 1]} / 0.05

FV= $95,454.20

Answer:

6 with a reminder of 2 :)

4 is the quotient and 2 is the remainder when 26 divided by 4.

A division is a process of splitting a specific amount into equal parts.

The number which we divide is called the dividend.

The number by which we divide is called the divisor.

The result obtained is called the quotient.

The number left over is called the remainder.

26 divided by 4

26 is the dividend

4 is the divisor

26/4

26 we can split as 24+2

24 is divided by 6 which results 4 and 2 is the remainder. So 4 is the quotient and 2 is the remainder

Hence, 4 is the quotient and 2 is the remainder when 26 divided by 4.

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Answer:

Hey there!

Taking the square, we have x+1=25

Subtract one to get x=24.

Hope this helps :)

Answer:

[tex]7.446[/tex]

Step-by-step explanation:

[tex]22.34[/tex] ÷ [tex]3[/tex]

To solve, let's make 22.34 into a fraction and divide.

[tex]\frac{22.34}{3}[/tex]

And that equals

[tex]7.446667[/tex]

Exact form:

[tex]7.446[/tex]

Now you got your answer!

Hope this helps!

Complete question is;

Identify the type of sampling​ used: random,​ systematic, convenience,​ stratified, or cluster.

To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at General Foods selects every 18th soup can that comes off the assembly line starting with the fifth until she obtains a sample of 40 soup cans

Answer:

Systematic Sample

Step-by-step explanation:

We are told that the quality control manager selects every 18th soup can that comes off the assembly line starting with the fifth until she obtains a sample of 40 soup cans.

Thus, the selection is from a large sample of produce.

This is synonymous with systematic sample because systematic sample can be defined as a type of probability sampling in which sample members from a larger population are selected according to a random starting point but with a set periodic interval.

This resonates with the statement in the question about selecting every 18th soup from the production assembly line.

Answer:

An adult ticket costs £7.

A child ticket costs £2.

Step-by-step explanation:

Let a represent the cost for adults and let c represent the cost for children.

Family 1 has a total of 2 adults and 3 children. Together, it cost them £20.

In an equation, this is:

[tex]2a+3c=20[/tex]

Family 2 has a total of 1 adult and 4 children. It cost them £15. In an equation, this is:

[tex]a+4c=15[/tex]

We know have a system of equations. Solve it. We can use the substitution method.

First, subtract both sides by 4c in the second equation:

[tex]a+4c=15\\a=15-4c[/tex]

Substitute this into the first equation:

[tex]2a+3c=20\\2(15-4c)+3c=20[/tex]

Distribute:

[tex]30-8c+3c=20[/tex]

Add:

[tex]30-5c=20[/tex]

Subtract 30 from both sides. The left cancels:

[tex]-5c=-10[/tex]

Divide both sides by -5:

[tex](-5c)/-5=(-10)/-5\\c=2[/tex]

Thus, the cost of a child ticket is £2.

Substitute 2 for c into the equation we manipulated at the start:

[tex]a=15-4c\\a=15-4(2)\\a=15-8=7[/tex]

Thus, the cost of an adult ticket is £7.

Answer:

Adult ticket= $7

Child Ticker=$2

Step-by-step explanation:

Family 1: 2x+3y=20

Family 2: x+4y=15

2x+3y=20

x+4y=15

Multiply by 2

2x+3y=20

-(2x+8y=30)

Change the signs

2x+3y=20

-2x-8y=-30

Eliminate x

-5y=-10

Divide both sides by -5

y=2<---- Price per children

Substitute the value of y

x+4(2)=15

x+8=15

x=15-8

x=7 <----Price per adult

Check:

Substitute the values of x and y to family 1

2(7)+3(2)=20

14+6=20

20=20

7+4(2)=15

7+8=15

15=15

Answer:

x=1.375

Step-by-step explanation:

-11 divided by -8=1.375

Answer:x=11/8.

Step-by-step explanation: -11 =-8x                                                                                               -8x/-8=-11/-8                                                                                                                                 x=11/8                                                                                                                                                                                                                                                                  

Answer:

The pattern is positive, and is going up by ten each time. (although I am confused as to why there isn't the number 170 between 160 and 180) hope this helps!

Step-by-step explanation:

your adding ten each time, for example, 180 plus ten is 190, 190 plus ten is 200, and so on.

Answer:

[tex]\huge \boxed{a= P-b-c}[/tex]

Step-by-step explanation:

[tex]P=a+b+c[/tex]

Subtracting b and c from both sides.

[tex]P-b-c=a+b+c-b-c[/tex]

Simplifying both sides.

[tex]P-b-c=a[/tex]

P=a+b+c

Subtracting b and c from both sides.

P-b-c=a+b+c-c

Simplifying both sides.

P-b-c=a

Answer:

a. Cube Root

I hope this helps!

Answer:

The anwer is A

Step-by-step explanation:

If it is a right angle triangle we use paythagoras theorem

a ×a + b× b= c × c

1. 15× 15( square of 15) + b× b(square of b) = 17 ×17 (square of 17)

;2. 225 + b×b(square of b ) = 289

3. b×b(square of b) = 289-225

4. b × b( square of b )= 64

[tex] \sqrt{b \times b} = \sqrt{64} [/tex]

b = 8

I hope it is helpful

Answer:

t=3

Step-by-step explanation:

Equation: 8t represent the rate of 8 tomatoes per week + 6 to represent the tomatoes the already has. And the 30 is for the 30 tomatoes he needs to win.

30=8t +6

-6        -6

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

24=8t (divide both sides by 8) Final answer is t=3

Let's say imput is i and that output is o.

The formula is 2 ^ i = o

2^0 = 1

2^1 = 2

2^2 = 4

2^3 = 8

2^4 = 16

2^5 = 32

Notice how the numbers match?

Hope this helped :)

Answer: 56ways

Step-by-step explanation:

given data:

total beans = 9

blue beans = 6

red beans = 1

yellow beans = 1

green beans = 1

solution:

This is a permutation problem because there is a condition attached to it which states that the beans most be arranged in a way that atleast each none blue has a blue bean on its side when shared.

= ( r + n - 1 ! ) / r ! ( n - 1 )!

= 3 + 6 - 1 / 3! ( 6-1 )!

= 8! / 3! x 5!

= 40320/ 720

= 56 ways

Answer:

-4, and (a+b) are the two factors

Step-by-step explanation:

-4(a+b)

We have two factors

-4, and (a+b)

Answer:

-4 and a and b/(a+b)

Step-by-step explanation:

When there is a number outside of a parentheses, you want to distribute it inside of the parentheses.  So in this case, -4 is on the outside, so it usually gets distributed it in, which makes it a factor.

Since a and b are getting multiplied by the -4, they are also factors in the equation.  

In a problem like this, if you want to solve it, the number outside the parentheses gets distributed into the numbers in the parentheses.  (It gets multiplied by the numbers).

-4 times a and -4 times b

-4 times a is -4a

-4 times b is -4b

The answer to this problem, if you need it is -4a-4b.  :)

Answer:

2/19

Step-by-step explanation:

Total menus collected= 24+1+9+4=38

Indian menus collected= 4

Therefore= 4/38 = 2/19

Answer:

1/10

Step-by-step explanation:

Answer:

One Solution

[tex]x = 8[/tex]

Step-by-step explanation:

Given

[tex]-10x = -80[/tex]

Required

Determine the number of solution and the value of x

The equation is a linear equation and they have just one solution

Solving further [Divide both sides by -10]

[tex]\frac{-10x}{-10} = \frac{-80}{-10}[/tex]

[tex]x = \frac{-80}{-10}[/tex]

[tex]x = 8[/tex]

Hence;

x has only one value

Answer:

d

Step-by-step explanation:

Answer:

-75

Step-by-step explanation:

the equation is set up as y = mx + b

in this case, m = -75

-75

Answer:

False

Step-by-step explanation:

Irrational numbers are not integers. All integers are rational numbers.

The statement "some irrational numbers are integers" is false.

Irrational numbers are real numbers that cannot be expressed as fractions or ratios of two integers. They are non-repeating and non-terminating decimal numbers.

Integers, on the other hand, are whole numbers (positive, negative, or zero) without any fractional or decimal components. They can be expressed as ratios of two integers, such as 1/1, -3/1, or 0/1. Integers can also be written as terminating decimals, such as 4.0, -2.00, or 0.

Since irrational numbers cannot be expressed as ratios of integers and integers can be expressed as ratios of integers, it follows that irrational numbers are not integers. Therefore, it is false to say that some irrational numbers are integers.

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Answer:

7

Step-by-step explanation:

12-x

Let x = 5

12-5

7

Answer and Step-by-step explanation:

We are given a coordinate :

( 3 , -4 )

The first number within a coordinate means the x axis, meaning it moves either left or right.

While the second number within a coordinate means the y axis, meaning it moves up or down.

If a number is positive, it increases, if it is negative, it decreases.

So let's take a look at the first number 3, it is positive and the x axis number, meaning you should say "Moving right on the x axis 3 times"

Now for -4, it is negative and the y axis, meaning you should say "Moving down on the y axis 4 times"

Your final phrase should be :

"(3,-4) is moving right on the x axis 3 times, and moving down on the y axis 4 times"

Answer:

$3,000

Step-by-step explanation:

To find his average monthly pay, you have to find the total amount that Willian received in a year by multiplying his monthly salary as a teacher for 10 months and his salary as a barista for 2 months and adding up these numbers. Then, you have to divide the total amount he earned by 12 that is the number of months in a year:

($3,200*10)+($2,000*2)= $32,000+4,000=36,000

$36,000/12=$3,000

According to this, his average monthly pay for the 12 months was $3,000.

Answer:

[tex]14 [/tex]

Step-by-step explanation:

[tex]13 + \frac{6}{y} = \frac{13}{1} + \frac{6}{6} = 13 + 1 = 14[/tex]

or

[tex]13 + \frac{6}{y} = \frac{13}{1} + \frac{6}{6} = \frac{78 + 6}{6} = \frac{84}{6} = 14[/tex]

Hope this helps ;) ❤❤❤

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Work Shown:

x = 0.515151...

100x = 51.515151....

Subtract the two equations to get 100x-x = 99x on the left side and 51.515151.... - 0.515151... = 51 on the right side. Notice the decimal portions cancel out.

So we end up with 99x = 51 which solves to x = 51/99

This means 51/99 = 0.515151...

Answer:

17/33

Step-by-step explanation:

We first let 0.51 be x.

Since x is recurring in 2 decimal places, we multiply it by 100.

100x=51.51

Next, we subtract them.

100x−x=51.51−0.51

99x=51

Lastly, we divide both sides by 99 to get x as a fraction.

x=51/99

=17/33

Answer:

370

Step-by-step explanation:

put 925/1 and x by 3/5 you get 2,775/5 divide that you get 555 subtract 925 and 555 you have your answer which is 370

Tara have a total of 370 m² lawn left to mow

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The total area of the lawn = 925 m²

Before talking to neighbor

Tara mows ( 3/5 ) of total area of the lawn

So ,

The area left for her to mow is = 1 - 3/5

                                                   = 2/5

So , the equation will be

The area for Tara to mow = 2/5 x total area of the lawn

                                           = 2/5 x 925

                                           = 2 x 185

                                           = 370 m²

Hence , Tara have a total of 370 m² lawn left to mow

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