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The product of 5 less than x and 7 is 2(x - 5)

The product of 5 less than x and 7 can be represented as follows:

The expression can be represented mathematically as follows;

5 less than x is as follows:

5 less than 7 is as follows:

Therefore, the product of 5 less than x and 7 is expressed below:

(x - 5)(7 - 5)

(x - 5)(2)

Finally,

2(x - 5)

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The formula for the quadratic equation is x² + x ( r1 + r2) + (r1 * r2) = 0 and

ax² + bx + c = 0

A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .

Given:

Three inputs (a, b, and c), calculate the roots (r1 and r2) of the quadratic formula.

we know, the roots are sum of the roots and product of roots

also,

x² + x ( Sum of zeroes) + (product of zeroes) = 0

Now,

x² + x ( r1 + r2) + (r1 * r2) = 0

Also, if we have three inputs named as a, b and c then

ax² + bx + c = 0

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Answer:

EX1: 4×(-1/3)=-4/3

EX2: (-2/3)(-1/2)(-3/5)= -1/5

(y = 2.05x) is the equation that relates the change in price per sticker purchased.

The equation of exchange is an economic identity that shows the relationship between money supply, the velocity of money, the price level, and an index of expenditures. English classical economist John Stuart Mill derived the equation of exchange, based on earlier ideas of David Hume. It says that the total amount of money that changes hands in the economy will always equal the total money value of the goods and services that change hands in the economy.

Given that: For every ten sheets you buy the total cost increases $20.50.

• The number of stickers purchased = 10

• Price change = $20.50

The change in price per sticker purchased can be expressed as:

• Price change / number of stickers

• Change in price per sticker = $20.50 / 10

• Change in price per sticker purchased = 2.05

Therefore, the required equation which related y and x is: y = 2.05x

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:

Answer:

There are 6 possible outcomes per roll and three 3 rolls = 6 x 6 x 6 = 216 possible outcomes, assume by outcome one counts each possible sequence separately. If you only count the sum of three rolls, then the possible outcomes are the integers from 3 to 18 inclusive, or 16 possible outcomes. Obviously you mean the former.

Answer:

216 outcomes.

Step-by-step explanation:

When you roll one 6 sided die you have a 1/6 chance,

when you roll two 6 sided dies you have a 1/36 chance,

when you roll three 6 sided dies you have 1/216 chance,

6x6x6

1       1        1

_      _       _

6     36    216

Answer:  [tex]\frac{dy}{dx}[/tex] = [tex]\frac{ 7 - sin y }{ -6 y^{2} + x cos y }[/tex]

Step-by-step explanation:

Given data,

                       x sin y - 2y^3 - 5 = 7x

Differentiate with each term with respect to the independent variable,

            [tex]\frac{d}{dx}[/tex] (x sin y) - [tex]\frac{d}{dx}[/tex] (2y^3) - [tex]\frac{d}{dx}[/tex] (5) = [tex]\frac{d}{dx}[/tex] (7x)  

Apply to the product rule,

         sin y * [tex]\frac{d}{dx}[/tex] (x) + x * [tex]\frac{d}{dx}[/tex] (sin y) - [tex]\frac{d}{dx}[/tex] (2 [tex]y^{3}[/tex]) - [tex]\frac{d}{dx}[/tex] (5) = [tex]\frac{d}{dx}[/tex] (7x)

Apply the chain rule,

sin y * [tex]\frac{d}{dx}[/tex] (x) + x* [tex]\frac{d}{dy}[/tex] (sin y) * [tex]\frac{dy}{dx}[/tex] - [tex]\frac{d}{dy}[/tex] (2 [tex]y^{3}[/tex])* [tex]\frac{dy}{dx}[/tex] - [tex]\frac{d}{dx}[/tex] (5) = [tex]\frac{d}{dx}[/tex] (7x)

Take out the coefficients,

sin y * [tex]\frac{d}{dx}[/tex] (x) + x * [tex]\frac{d}{dy}[/tex] (sin y) * [tex]\frac{dy}{dx}[/tex] -2 [tex]\frac{d}{dy}[/tex] ([tex]y^{3}[/tex]) *  [tex]\frac{dy}{dx}[/tex] - [tex]\frac{d}{dx}[/tex] (5) = 7 * [tex]\frac{d}{dx}[/tex] (x)

Differentiate the constants and power functions,

 sin y + x * [tex]\frac{d}{dy}[/tex] (sin y) * [tex]\frac{dy}{dx}[/tex] - 2 * 3 * [tex]y^{2}[/tex] * [tex]\frac{dy}{dx}[/tex] = 7    

Differentiate sin (x),

  sin y + cos y * [tex]\frac{dy}{dx}[/tex] - 2 * 3 * [tex]y^{2}[/tex] * [tex]\frac{dy}{dx}[/tex] = 7

Isolate,

             [tex]\frac{dy}{dx}[/tex] = [ 7-sin y ] / (-6 [tex]y^{2}[/tex] + x cos y )

Therefore,

              [tex]\frac{dy}{dx}[/tex] = [tex]\frac{ 7 - sin y }{ -6 y^{2} + x cos y }[/tex]

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For waste of more than 1.875 tons mega Dumpster be less expensive than Discount Dumpster.

Given that,
Discount Dumpster rents a dumpster of that size for $225 plus a charge of $ 130 per ton of waste.
Mega Dumpster rents the same size dumpster for $300, but only charges $90 per ton of waste.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
accoding to the question,
225 + 130w > 300 + w90
130w - 90w > 300 - 225
40w > 75
w > 15 / 8
W > 1.875

Thus, for waste of more than 1.875 tons mega Dumpster be less expensive than Discount Dumpster.

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Answer:

x = 20

Step-by-step explanation:

-20 = -x

[tex]\frac{-20}{-1}[/tex] = [tex]\frac{-x}{-1}[/tex]

Simplify

x = 20

Answer:

× = -4

or

× = 8

Step-by-step explanation:

because the gravity of the Earth

The statement postulate that can be used to determine BC is AC = AB + BC and the value of BC is 3 units

From the question, we understand that:

The point B is between the points A and C

Such that

AC = 10

AB = 7

By the straight lie postulate, we have

AC = AB + BC

Hence, the statement postulate that can be used to determine BC is AC = AB + BC

Recall that

AC = AB + BC

So, we have

10 = 7 + BC

Subtract 7 from both sides

BC = 3

Hence, the value of BC is 3 units

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Answer: 33 Boxes

Step-by-step explanation:

Original Equation: 40b + 190 = 1510

40b = 1320     subtract 190 from both sides

b = 33             divide both sides by 40

The value of the area of the triangle is a 12.

According to the statement

We have to find that the area of the triangle.

So, For this purpose, we know that the

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

From the given information:

Triangle QRS, with vertices Q(6,2), R(7.7), and S(2,6)

Then we know that the

The coordinate geometry formula for area = the absolute value of Qx(Ry - Sy) + Rx(Sy - Qy) + Sx(Qy - Ry) divided by 2.

Then substitute the values:

Area = the absolute value of Qx(Ry - Sy) + Rx(Sy - Qy) + Sx(Qy - Ry) divided by 2.

Area = the absolute value of 6(7- 6) + 7(6- 2) + 2(2- 7) / 2.

Area =  6(7- 6) + 7(6- 2) + 2(2- 7) / 2.

Area =  6(1) + 7(4) + 2(-5) / 2.

Area =  6 +28 -10 / 2.

Area =  24 / 2.

Area =  12.

So, The value of the area of the triangle is a 12.

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The domain of the given function f(x)= 1/2x-1  is ( -∞ , 1/2) ∪ (1 /2 , ∞) .

We have given an function f(x)= 1/2x-1 .

To find the domain, we'd like to appear at the values of the freelance variables that area unit allowed to use as explained on top of, i.e. no zero at all-time low of the fraction and no negative sign within the root.

    2x - 1 ≠ 0

      2x ≠ 1

       x ≠ 1/2

Domain is given by ( -∞ , 1/2) ∪ (1 /2 , ∞) .

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The complete question is given below :

Find domain of the function f(x)= 1/2x-1

Answer:

There is no “formula” and the sooner you stop believing that math is a collection of formulas the sooner you can start learning it.

“Y sinx”, as written, is meaningless. You probably meant y = sin(x). Learning the proper grammar and syntax for writing mathematical expressions is necessary to make any progress in the subject.

Finally, the value of y = sin(x) is the y-coordinate of a point on the unit circle at position angle x. the zeros of y = sin(x) are x = k*pi, where k is any integer, because at any of those position angles the y-coordinate will be 0. This is not a “formula”, just a compact way to indicate an infinite number of zeros. The note that k is any integer is generally assumed, but to be clear and precise it should be included as part of the answer.

Solutions to trig equations are often restricted to the domain [0, 2pi), which is once around the unit circle without repetition of any point. On this domain, the zeros are 0 and p

The measurement of angle ∠D in parallelogram CDEF would be 89° and

the measurement of angle ∠D in parallelogram ABCD would be 57°.

A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

In parallelogram CDEF,

∠C = ∠D

87 = 93 + 2x

2x = 87 - 93

2x = -6

x = -3

So the measurement of ∠D = 93 + 2(-2) = 89

In parallelogram ABCD,

∠A =∠C

57 = 3x + 21

3x = 57 - 21

3x = 36

x = 12

So the measurement of ∠C = 3(12) + 21 = 57

Hence, the measurement of angle ∠D in parallelogram CDEF would be 89° and the measurement of angle ∠D in parallelogram ABCD would be 57°.

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Answer:

Step-by-step explanation:

THis is a long anwser

1. 2/100

2.9/100

3.23/100

4.58/100

5.25/100

6..36/100

7.12/100

8.33/100

9.1/10

10.3/10

11.21/100

12..15/100

Answer:Q = 26(52-26) = 26*26 = 676

Step-by-step explanation:

See attachment for the graph of  4 > |x + 1| + 2

The absolute value inequality is given as:

4 > |x + 1| + 2

Subtract 2 from both sides of the absolute value inequality.

So, we have

2 > |x + 1|

Rewrite as

|x + 1| < 2

So, we plot the graph of  |x + 1| < 2 to represent 4 > |x + 1| + 2

See attachment for the graph

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The quadrilateral ABCD's vertices are located at A(-6,-1), B(-5,2), C(-1,5), and D. (0,-2).According to Parker, the quadrilateral ABCD is a parallelogram. Parker statement is true.

Given that

The quadrilateral ABCD's vertices are located at A(-6,-1), B(-5,2), C(-1,5), and D. (0,-2).

According to the statement

We have to find that the whether the quadrilateral is a parallelogram or not.

So, For this purpose, we know that the

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

From the given information:

The coordinates of the vertices of quadrilateral ABCD are A(-6,-1), B(-5,2), C(-1.-5), and D(0.-2).

Then

To show that the diagonals are bisect each other, we have to find the midpoint of both diagonals and if the midpoint is same then they bisect each other.

So,

Midpoint of AC = Midpoint of BD

Midpoint of A(-6,-1),C(-1.-5)  = Midpoint of B(-5,2),D(0.-2)

( -6-1/2 , -1-5/2) = (-5+0/2 , 2-2/0)

( -7/2 , -6/2) = (-5/2 , 0/2)

And these midpoints are not same then they do not bisect each other and then it is not a parallelogram.

So, The given quadrilateral is not a parallelogram.

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Answer:

a. b is the width of the largest square if you look the sides match.

b. The area is b² because b*b is b²

c. a²+2ab+b² is the entire area.

d. above the actual c is the top right is a² the top right and bottom left is ab and the largest is b²

e. they must have the same equations.

Step-by-step explanation:

The length of the sides are solved to be

Given data

perimeter of a right angled triangular park is 120m

area is 600m^2

Perimeter of triangle = b + h + √(b^2 + h^2)

Area of triangle = 0.5 * b * h = 0.5bh

120 = b + h + √(b^2 + h^2)   equation 1

600 = 0.5bh                          equation 2

form equation 2

bh = 1200

from  equation 1

120 - b - h = √(b^2 + h^2)  

( 120 - b - h )^2 = (b^2 + h^2)

( 120 - b - h ) * ( 120 - b - h ) = (b^2 + h^2)

14400 - 120b - 120h - 120b + b^2 + bh - 120h + bh + h^2 = (b^2 + h^2)

14400 - 240b - 240h  + b^2 + 2bh + h^2 = b^2 + h^2

14400 - 240b - 240h  + 2bh = 0

and bh = 1200

14400 - 240b - 240h  + 2 * 1200 = 0

14400 - 240b - 240h  + 2400 = 0

16800 - 240( b + h ) = 0

16800 = 240( b + h )

b + h = 70

b = 70 - h

and bh = 1200

h ( 70 - h ) = 1200

70h - h^2 = 1200

h^2 - 70h + 1200 = 0

h = 40 or 30

if h = 30

and bh = 1200

b = 1200/30

b = 40

the hypotenuse is solved from Pythagoras

hypotenuse =  √(b^2 + h^2)

hypotenuse =  √(40^2 + 30^2)

hypotenuse = 50

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Answer:

[tex]\geq 18[/tex]

Step-by-step explanation:

Since this is in the math category I am assuming you needed a math answer.  The "greater than or equal to" symbol is the mathematical equivalent of "at least" some amount or number.

Answer:

x ≥ 18

Step-by-step explanation:

x ≥ 18 (I don't know if you've gotten to greater than or equal to, but keep in mind the answer might be ">" instead of "≥" if its the only option in multiple choice)

x is the age you have to be to vote, the greater than or equal to sign it to say that you have to be older than or equal to 18, and the 18 is the number/age you at least have to be!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

4.5 miles

Step-by-step explanation:

We don't really need an equation for this, as we know what one half of three is - it is 1.5.  So we just add 3 and 1.5 to get the sum.

Answer:

16

Step-by-step explanation:

Answer :Its 0

Step-by-step explanation:

Answer:

y= -6/7x+8

Step-by-step explanation:

7x-6y=13

6y=7x-13

y=7/6x-13/6

a perpendicular line has the x-axis as the reciprocal and the opposite

so

y= -6/7x+b

and to find b you take the x-axis, in this case, it is 14, multiply 14 by the slope which is -6/7. 14x-6/7= -12

-12 plus what number is -4? it's 8! -12+8=-4 b=8

so you get y=-6/7x+8

hopefully this helped :)