10-2 (2x+1) = 4 (x-2)

The equation of the line in slope-intercept form is  y = (2/5)x + (-3/2)  .

The equation of a line in slope-intercept form can be written as follows,

y = mx + c                                                       equation 1

m in the above equation represents slope of the line and c represents the intercept.

The given equation is (x/6) - (5/12)y = 5/8 .

To get the equation of the line in slope-intercept form we need to convert the given equation in the format of equation of a straight line i.e., equation1. So, now we will rearrange the given equation as

(x/6) - (5/12)y = 5/8

On multiplying both sides of above equation by (12/5), we will get

   (2/5)x - y = 3/2

⇒ y = (2/5)x + (-3/2)                                                 equation 2

On equating equation 1  and equation 2, we will get

Slope of the line = m = 2/5

Intercept = c = -3/2

The equation of the line in slope-intercept form is  y = (2/5)x + (-3/2) .      

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Answer: The graph of f(x) is shifted to the right to create g(x).

Step-by-step explanation:

g(x) is the graph of f(x) shifted right 3 units.

Answer:

32

Step-by-step explanation:

Step-by-step explanation:

If he doubles the amount of money he has now, he will have enough to buy the game with $8 left over. 2x=56+8 ; 2x=64 ; x=64/2 ; x=32. Skylar has $32 right now.Nov 12, 2020©

The domain is  f[tex]o[/tex]g(x)= -30x+7

The domain is all the real numbers.

Given that f(x)=-5x-3 and g(x)=6x-2.

f[tex]o[/tex]g=f(g(x))

   =f(6x-2)-3

   =-5(6x-2)-3

   =-30x+10-3

f[tex]o[/tex]g =-30x+7

The domain is all the real numbers.

What is domain?

Specific to the internet, the term domain can refer to how the internet is structured, and domain also refers to how an organization's network resources are organized. In general, a domain is an area of control or a sphere of knowledge.

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you can either graph this or plug in values.

[tex]f(x)=3+\frac{1}{3}x[/tex]

[tex]f(-1)=3+\frac{1}{3}(-1)\\\\f(-1)=3-\frac{1}{3}\\\\f(-1)=2\ \frac{2}{3}\\\\f(0)=3\\\\f(1)=3\ \frac{1}{3}[/tex]

[tex]\therefore[/tex] we can conclude that this function is linear.

Also here is a graph

Step-by-step explanation:

Looks like it's a piecewise defined function. Where you see a circle, means it's not inclusive so at f(1) it should be define at y=3

The equation of the circle with radius 1 and center at (-6 , 10) is (x + 6)^2 + (y - 10)^2 = 1.

The general form of the equation of  circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.

(x - h)^2 + (y - k)^2 = r^2

where (h , k) = (-6 , 10)

r = 1

(x - -6)^2 + (y - 10)^2 = 1^2

(x + 6)^2 + (y - 10)^2 = 1

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Answer:

13.9

Step-by-step explanation:

13.891

the 9 is greater than 4 so it can round up the 8 to a 9

   The function y = 6x - x² + 1 already defined is a quadratic function.

 A function is the definition of a mathematical expression or equation that helps us to give a visual representation, through graphs to analyze the behavior of the same, a function is not real when it cuts the vertical axis at a same point of x.

      The given function is given by means of the expression

y=6x -x²+1

y = -x² + 6x + 1 , it is a quadratic function because of its exponent "2".

 Where we can separate each of the terms or parts:

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On dividing 3.185 × [tex]10^{17}[/tex] by 9.1 × [tex]10^{8}[/tex] the final answer in scientific notation is 3.5 ×[tex]10^{8}[/tex] .

The quantity 3.185 times ten raised to the seventeenth power can written as 3.185 × [tex]10^{17}[/tex] .

The quantity 9.1 times ten raised to the eighth power can written as 9.1 × [tex]10^{8}[/tex] .

On dividing 3.185 × [tex]10^{17}[/tex] by 9.1 × [tex]10^{8}[/tex] ,

( 3.185 × [tex]10^{17}[/tex] )/( 9.1 × [tex]10^{8}[/tex] ) = 0.35 × [tex]10^{17-8}[/tex] = 0.35 ×[tex]10^{9}[/tex] = 3.5 ×[tex]10^{8}[/tex] (in scientific notation)

Scientific notation is a floating-point system in which the numbers are expressed as the products consisting of a number between one to ten multiplied by an appropriate power of ten.

On dividing 3.185 × [tex]10^{17}[/tex] by 9.1 × [tex]10^{8}[/tex] the final answer in scientific notation is 3.5 ×[tex]10^{8}[/tex] .

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Answer:

y is equal to 18

Step-by-step explanation:

[tex]3y+20-20=5y-16-20\\3y=5y-36\\3y-5y=5y-36-5y\\-2y=-36\\\frac{-2(y)}{-2}=\frac{-36}{-2}\\(\frac{-a}{-b} = \frac{a}{yb}) =\frac{2y}{2}\\\frac{2(y)}{2}=y\\=\frac{36}{2}\\=18\\y = 18[/tex]

Answer:

the value it's -21

Step-by-step explanation:

5×(-4)+3×(-5)+14=

-20 + (-15) + 14=

-20 -15 + 14=

-35 + 14=

-21.

Answer:

Step-by-step explanation:

Angle (3x+31)° and angle (2x-6)° are supplementary angles

(3x + 31)° + (2x - 6)° = 180°

5x + 25° = 180°

5x = 155°

x = 31°

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

check

3 * 31 + 31 + 2 * 31 - 6 = 180

180 = 180           (remember PEMDAS)

the answer is good

Answer:

Step-by-step explanation:

A sloping line on a speed-time graph represents an acceleration . The sloping line shows that the speed of the object is changing. The object is either speeding up or slowing down. The steeper the slope of the line the greater the acceleration.

9.233050612 is a rational number.

Real numbers that can be expressed as a ratio of two integers, such as P/Q, where Q is not equal to zero, are referred to as rational numbers. Finite or repeating numbers are included in the category of rational numbers.

Real numbers are referred to as irrational numbers if they cannot be represented as the ratio of two integers. These are composed entirely of non-terminating, non-repeating numbers.

The given number 9.233050612 can be written in the form P/Q as :

9.233050612 = [tex]\frac{9.233050612}{1000000000}[/tex]

Hence, the given number is a rational number.

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The correct question is:

"9.233050612 is a rational or irrational number"

Answer:

1. translate

2.rotate

explanation:

first, translate a to the next quadrant.

second, rotate it 180 degrees.

Answer:

Figure A translated 2 figures down and mirrored to the right.

Figure A then rotated 180 degrees.

Answer:

let the complementary angle be x

51.1°+x=90°

x=90°-51.1°

x=38.9°

Answer:

- 9 < x < - 3

Step-by-step explanation:

- 53 < 9x + 1 < - 26 ( subtract 1 from each interval )

- 54 < 9x < - 27 ( divide each interval by 9 )

- 6 < x < - 3

The number of days Bilquis can afford to rent while staying within her budget is 2 days.

The question has the following data

amount charged =  $48

Rent per mile = $0.08

The mile to drive = 175 miles.

Amount to spend = 110 dollars

The inequality would be written as

48x + 0.08(175) ≤ 110

we are to solve for the value of x

this would be

48x + 14 ≤ 110

48x ≤ 110 - 14

48x ≤ 96

We have to divide through by 48

x ≤ 96 / 48

x ≤ 2

Hence we can say that the number of days Bilquis can afford to rent while staying within her budget is 2 days.

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Isabel to complete one full rotation is 12 seconds.

In statistics, what does a probability mean?

In every 2 seconds the ride rotates 60º.

So, it takes 6 turns to rotate 6 × 60º or 360º.

Therefore, the time it takes

Isabel to complete one full rotation is 12 seconds.

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Answer: Small box has the lowest amount when divided, that box has the best value.

Step-by-step explanation:

Given data,

Big box = 500 g

It cost is $8.00

Small box = 300 g

It cost is $ 5.40

First switch the box that's in kilograms into grams.

One kilogram=1000 grams.

Then,    Big box = 500 g = $ 8.00

            Small box = 300 g = $ 5.40

Next divide the amount in each box by the cost of each box.

           Big box = 500/8

           Big box  = 62.5

           Small box = 300/540

           Small box  = 0.5555

Therefore,

So, since small box has the lowest amount when divided, that box has the best value.

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  8. (-3)+4

= -24 +4

= -20

In algebraic equation or polynomial equation is an equation of the frame P=0 where P could be a polynomial with coefficients in a few field, regularly the field of the rational numbers.

algebraic equation, statement of the equality of two expressions defined by applying to a set of factors the algebraic operations, namely, expansion, subtraction, increase, division, raising to a control, and extraction of a root.

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Answer: $3.40 per pint

Step-by-step explanation:

1 gallon=8 pints

3 gallons * 8 pints/1 gallon=

3*8/1=

3*8=24 pints in 3 gallons

$81.6 for 24 pints of paint

81.6/24=$3.40 per pint

27 is the number that is a coefficient.

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

A coefficient is a number or an alphabet that is multiplied by a variable of a single term or the terms of a polynomial. For example, in the term 7x, 7 is the coefficient. The coefficient of x in the term 3xy is 3y.

The variable is a symbol for a value we don't know yet. It is usually a letter like x or y.

In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.

In the expression 38 + 27y the coefficient of y is 27, 38 is the constant and y is the variable.

we can identify a coefficient since it is always associated with a variable.

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Answer:

-1/2

[tex] - \frac{1 }{2} [/tex]

First the two fours cancel out so it's becomes

[tex] \frac{1 - 3}{4} [/tex]

then subtract

[tex] \frac{ - 2}{4} [/tex]

simplify

[tex] \frac{ - 1}{2} [/tex]

They can set up total 30 tables in 5 hours.

Multiply in mathematics refers to the continual addition of sets of same size.

2 × 3 = 6

It can be interpreted this way:

Three times two equals six.

Three times two equals six.

Six is two threes.

Given,

Andersons can set up 6 tables in 1 hour

Tables they can set up in 5 hours = 5 × 6

= 30

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Answer:

x=2

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

3(4x-2)=2(5x+3)

12x-6=10x+6

    +6       +6

12x=10x+12

-10x -10x

2x=12

Divide by 2.

x=6

Hope this helps.

If you double or halve the length of each of Pythagorean triplet the resulting triangle will always be Right Triangle.

Pythagoras Theorem states that the sum square of two sides of triangle is equal to the  square of longest side.

Let us take Pythagorean triplet as (6,8,10).

where base=6

perpendicular = 8

hypotenuse = 10

Part(a)

Let us double the length of each value

base = 12

perpendicular = 16

hypotenuse = 20

By Pythagoras Theorem

[tex]base^{2} +perpendicular^{2} =hypotenuse^{2}[/tex]

[tex]12^{2} +16^{2} =20^{2} \\ \\ 144+256=400\\ \\ 400=400[/tex]

Therefore the Triangle will be a Right Triangle as Pythagoras Theorem is satisfied.

Part (b)

Let us halve the length of each value

base=3

perpendicular = 4

hypotenuse = 5

By Pythagoras Theorem

[tex]base^{2} +perpendicular^{2} =hypotenuse^{2}\\\\3^{2} +4^{2} =5^{2}[/tex]

[tex]9+16=25\\ \\ 25=25[/tex]

Therefore the Triangle will be a Right Triangle as Pythagoras Theorem is satisfied.

Therefore ,  If you double or halve the length of each of Pythagorean triplet the resulting triangle will always be Right Triangle.

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