Solve by factoring. Check your answers. 3 x²-2=5 x

The subtraction of the expression 10√27 - 4√12 is 22√3.

Combining things and counting them as one big group is done through addition. In math, addition is the process of adding two or more integers together.

In mathematics, subtraction involves removing anything from a group or a number of objects. What is left in the group gets smaller when you subtract.

Consider the expression,

y = 3√20x + 8√45x - 4√5x

Now, the number in the root can also be written as:

20 = 2 × 2 × 5

45 = 5 × 3 × 3

Therefore,

y = 3√20x + 8√45x - 4√5x

y = 3( √[2 × 2 × 5] )x + 8( √[5 × 3 × 3] )x - 4√5x

y = 3 × 2√5x + 8 × 3√5x - 4√5x

y = √5x ( 3 × 2 + 8 × 3 - 4 )

y = √5x ( 6 + 24 - 4 )

y = 26√5x

The value of the expression 3√20x + 8√45x -4√5x is 26√5x.

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Answer:

the slope would be -3 because it takes the place of the m in y=mx+b

Step-by-step explanation:

Answer:

Less

Step-by-step explanation:

Because every negative number is smaller than any positive number

Answer: The equation can also be used to find the perimeter of the rectangle  P = 4 × ( l + w).

Step-by-step explanation:

Given data,

A rectangle has a length of 6 feet and a width of 4 feet.

The perimeter of the rectangle can be found using the equation =2×6+2×4.

                        P = 2×6+2×4

Let l be the length and w be the width of a rectangle.

Since there four sides of a rectangle, the perimeter is given by adding all the sides.

Therefore perimeter of the rectangle is given by

                    = l + l + b + b

                    = 2×l +2×w

                    = 2 × ( l + w).

The equation given by 2 × ( l + w) can also be used to find the perimeter of any given rectangle.

We can use,

                          P = 4x4x6

Therefore perimeter of the rectangle is given by

                           = l + l + b + b

                           = 4×l +4×w

                           = 4 × ( l + w).

substitute l and w values,

Then,

                           = 4 × ( l + w)

                        P = 4 × ( 6 + 4).

The equation given by 4 × ( l + w) can also be used to find the perimeter of any given rectangle.

Therefore,

The equation can also be used to find the perimeter of the rectangle P = 4 × ( l + w).

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Knowing that segment BD is of length 26, and C is the midpoint then BC is half of BD. The value of  x is solved to be 11/3

Given data

length of segment BD = 26

C midpoint of BD

BC = 6x - 9

If C midpoint of BD, then BC is half of BD.  This is shown mathematically as

BC = 1/2 * BD

BC = 1/2 * 26

BC = 13

substituting BC = 13 into BC = 6x - 9, we have

BC = 6x - 9

13 = 6x - 9

13 + 9 = 6x

6x = 22

x = 22/6

x = 11/3 in fraction

x = 3.6667 in decimal notation.

Hence we can say that the value of x in the equation is 11/3

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The value of x is -3 and the property used in this is (-) / (-) = (+)

According to the question the expression that we have given is

                      6 - 4x = 18

We will solve this equation step by step that is

First we will subtract 6 both sides of the equation,

                 6 - 6 - 4x = 18 - 6

                       -4x = 12

Now we will divide -4 on both side of the equation we get

                        -4x/-4 = 12/-4        [As (-) / (-) = (+) ]

                          x = -3

Hence the value of x is -3 and the property that we have used is that

 (-) / (-) = (+)

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The value of g (7) is 16.

What is Piecewise function?

A piecewise function is a function which built from pieces of different functions over different intervals.

The given function is;

g (x) = x² - 5             , x ∈ (-∞, -7)

      = 9x - 17            , x ∈ [-7, 2]

      = (x + 1) (x - 5)    , x ∈ (2, ∞)

Now, Find the value of g (7) as;

Since, Number 7 is belong in interval (2, ∞).

Hence, To find the value of g (7) we use the function,

g (x) = (x + 1) (x - 5)    , x ∈ (2, ∞)

Substitute x = 7 we get;

g (x) = (7 + 1) (7 - 5)

g (7) = 8 * 2

g (7) = 16

Hence, The value of g (7) is 16.

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The total amount of coal delivered in these two months is equal to 6.35 tons.

A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.

Conversion:

1 lbs = 0.0005 tons

1500 lbs = 0.75 tons

1200 lbs = 0.6 tons.

Now, we can determine the total amount of coal delivered in these two months:

Total amount of coal = 3 tons + 0.75 tons + 2 tons + 0.6 tons

Total amount of coal = 6.35 tons.

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The value of x is  4 units ,the Length is 20 units width is 1 units.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Given:

The perimeter of the rectangle=42 inches

length= 5x

width= (x-3)

According to given question we have

We know that

perimeter of rectangle is sum of all sides

42 = 5x + 5x + ( x - 3 ) + ( x - 3 )

42 = 12x - 6

48 = 12x

x = 4

Length= 5*4=20 units

width= 4-3=1  units

Therefore, the value of x is  4 units ,the Length is 20 units width is 1 units.

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Answer:

Hope this helps!

The value of the digit three in 20,320 is three hundred. This is the place value.

It should be noted that a place value simply means the value that's represented by the digits that are written in a number.

In this case, MT. Mc Kinley is the highest mountain peak in North America with in Ellevation of 20,320 feet.

The value of the digit three in 20,320 is three hundred.

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The required answer for the given expression is 0.

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube  roots, plus and minus.

Now the given expression is,

|8-40/4^3| 4^2 - 8

Solving the mod first,

Since 4^3 = 64 ; 4^2 = 16,

and 8 - 40 = -32

Therefore,

|8-40/4^3| 4^2 - 8 = |-32/64|16 - 8

Now solving

⇒ 32/64 = 1/2

Therefore we get,

|8-40/4^3| 4^2 - 8 = |-31/2| 16 - 8

Now since, |-a| = a

therefore, |-1/2| = 1/2

Therefore we get,

|8-40/4^3| 4^2 - 8 = (1/2) 16 - 8

Now, since (1/2) 16 = 8

Therefore we get

|8-40/4^3| 4^2 - 8 = 8 - 8

solving we get,

|8-40/4^3| 4^2 - 8 = 0

this is the required answer for the given expression.

Thus, the required answer for the given expression is 0.

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Answer:

[tex]x > \frac{2(5 + 2y)}{5} \\ \\ x < \frac{2y - 7}{3} [/tex]

Step-by-step explanation:

[tex]1. \: 5x > 10 + 4y \\ 2. \: x > \frac{10 + 4y}{5} \\ 3. \: x > \frac{2(5 + 2y)}{5} \\ \\ \\ 1. \: 3x < - 7 + 2y \\ 2. \: 3x < 2y - 7 \\ 3. \: x < \frac{2y - 7}{3} [/tex]

The length of TO is 6.66  and of BO is 3.32

In the problem we are given that BT=10 TO=2x amd BO=4x-10

We have to find the value of x in order to find the values of length of  BO and TO.

BT=BO+TO

4x-10+2x=10

6x=20

x=3.33

The length of TO is 6.66

and of BO is 3.32

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Answer:

Revolution traveled by me = 30π ft.

Revolution traveled by my friend = 20π ft.

Difference between revolutions = 10π ft.

Step-by-step explanation:

In one revolution, I travel 2π(15) = 30π ft., and my friend travels 2π(10) = 20π ft., so my revolution is 30π - 20π, or 10π, ft. longer than my friend's revolution.

The function according to the rigid transformation g(k + 3) = - 4 · f(k + 3), where f(x) = x² - x - 1, is equal to the quadratic equation g(k + 3) = - 4 · k² - 20 · k - 44.

In this problem we find the definition of a quadratic equation and besides we are asked to find the result of horizontal translation, a reflection about the x-axis and a dilation, all of them rigid transformations. In other words, we must look for the resulting expression according to this definition:

g(k + 3) = - 4 · f(k + 3)

g(k + 3) = - 4 · [(k + 3)² - (k + 3) - 1]

g(k + 3) = - 4 · [(k² + 6 · k + 9) - (k + 3) - 1]

g(k + 3) = - 4 · (k² + 5 · k + 11)

g(k + 3) = - 4 · k² - 20 · k - 44

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Answer:

d=12.5

hope this helps :)

The machine will display the digit 71 if she pressed a 77 number.

According to the statement

We have to find that the digit shown by the machine.

So, For this purpose, we know that the

Digits are the single numbers used to represent values in math

From the given information:

At the fair, Kate found a strange machine with a sign on it labeled, "Enter a number. When she pushed the number 15, the machine displayed 9. When she entered 23, the machine displayed 17. Perplexed, she tried 100, and the machine displayed 94.

From this

we find that the machine displayed a number after subtracting 6 from the pressing digit in the machine.

For example, When she pushed the number 15, the machine displayed 9.

Displaying digit = 15-9

6 = 6.

If she pressed a 77 number then machine will display

77 -6 = 71.

So, The machine will display the digit 71 if she pressed a 77 number.

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In mathematics, an inverse function is one that "reverses" another function. The inverse of the function f(x) = (x+1)² is √x−1.

The inverse function of a function f in mathematics exists a function that reverses the operation of f. If the inverse of f exists, it is shown by the f⁻¹. The inverse of f exists if and only if f is bijective.

An inverse in mathematics is a function that "undoes" another function. In other words, if f(x) produces y, then y entered into the inverse of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f ⁻¹.

If we restrict the domain to [−1,∞), then this new function has an inverse:

g(x) = (x+1)² with x ≥ −1

y = (x+1)²

if and only if

x+1 = √y (We do not need ±√y because of the restriction on x.)

x = √y−1

g−1(x) = −√x−1

If we restrict the domain to (−∞, −1], we get

h(x) = (x+1)² with x≤−1

y = (x+1)²

if and only if

x+1 = −√y (We need only −√y because of the restriction on x.)

x = −√y−1

h − 1(x) = √x−1

The inverse of the function f(x) = (x+1)² is √x−1.

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Answer:

34 acres

Step-by-step explanation:

510 divided by 15 is 34

your welcome :)

Answer:

34

Step-by-step explanation:

510/15=34

If 510 acres of land was divided into 15 equal parts, each part would be 34 acres.

Hope this helps!

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The $53 money they spend on equipment if the group of friends was working on a student film that had a budget of $900. They used 53% of their budget on equipment.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

A group of friends was working on a student film that had a budget of $900. They used 53% of their budget on equipment.

The money spend on equipment = 53% of $900

The money spend on equipment = (53/100)900

= 0.53x100

= $53

Thus, the $53 money they spend on equipment if the group of friends was working on a student film that had a budget of $900. They used 53% of their budget on equipment.

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The unit price is $2.5

34 mile taxi ride will cost $85

18 mile taxi ride costs $7.20

The cost of 1 mile is

= 18/7.20

= 2.5

The unit price is $2.5 for 1 mile

The cost of 34 mile taxi ride can be calculated as follows

= 2.5 × 34

= 85

Hence the 34 mile taxi ride will cost $85

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Answer:

BRO I TRIED THIS BEFORE

YOU JUST NEED TO SEARCH IT IN gogle

The acceleration of the bicyclist is 6.83 m/s².

The given parameters;

Initial velocity of the bicycle (u) = 21 m/s

Distance travel by the bicycle (s) = 32.3 m

We have to find the acceleration of the bicyclist.

How to calculate the acceleration?

If the initial velocity is u, final velocity is v and distance travel by object is s then we can calculate acceleration as;

v² = u² + 2as

Initial velocity of the bicycle (u) = 21 m/s

Distance travel by the bicycle (s) = 32.3 m

Final velocity of the bicycle (v) = 0

Hence, The acceleration of the bicycle is calculated as follows;

v² = u² + 2as

Where, v is the final velocity of the bicycle.

0 = u² + 2as

2as = - u²

a =  - u²/2s

a = - (21)²/2*32.3

a = - (21)²/64.6

a = -441/64.6

a = -6.83

| a | = 6.83 m/s²

The acceleration of the bicyclist is 6.83 m/s².

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The expression to the second power is simplified to 216. 64

Fractions are simply defined as part of a whole.

There are several types of fractions which include;

Given the expression;

1¼ x 3.14 x 3¾

Let's convert the mixed fractions to improper fractions, the steps are;

We have;

5/4 × 3. 14 × 15/ 4

Multiply through

235. 5/  16

Find the quotient

14. 72

To the second power, we have

(14. 72)²

216. 64

Thus, the expression to the second power is simplified to 216. 64

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Answer: the correct answer is B.0. Step-by-step explanation: there is no value for x.

Answer:

10

Step-by-step explanation:

substitute the given values into the expression

ab + c

= 2(3) + 4

= 6 + 4 = 10

Hey there!

ab + c

= 2(3) + 4

= 6 + 4

= 10

Therefore, your answer should be:

10

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The length of skid marks of a car that is going 65 miles per hour is approximately equal to 211 feet.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In this scenario, the formula (expression) which is being used by this investigator is given by:

S = 2√(5L)

Where:

Making L the subject of formula, we have:

S²/4 = 5L

L = S²/20

Substituting the given parameters into the formula, we have;

L = 65²/20

L = 4,225/20

Length of skid marks, L = 211.25 ≈ 211 feet.

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Answer:

[tex]8.50h = 6.50h + 15[/tex]