need help please and fast

x = 2 is your missing value.

The equation below encapsulates the idea of direct variation.

If y is expressed as the product of a constant integer k and x, we say that y varies directly with x.

It becomes clear that k is the constant ratio between y and x if we isolate it on one side. In other words, there is always a constant result when you divide y by x.

K is also referred to as the proportionality constant, constant of variation, or just k.

You are finding the direct variation's solution. This indicates that both x and y have the same amount of change:

Observe: (x, y) & (x1, y1)

(x , y) = (4 , 6)

(x₁ , y₁) = (x , 3)

Set the two on an equal footing:

(4 , 6) = (x , 3)

Find common denominators (y). Remember that what you multiply to one you multiply to the other:

(4 , 6) = (x * 2, 3 * 2) = (2x , 6)

Simplify. Isolate the variable x.

Divide:

(4) = (2x)

(4)/2 = (2x)/2

x = 4/2

x = 2

x = 2 is your answer.

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The rate which the mulch is being applied is 250,000 cm^3/cm^2

The statement is given as

Rita is applying 250,000 cm^3 of mulch per m^2 of the garden space

This means that the rate is

Rate = Volume of mulch/Area of garden space

Substitute the known values in the above equation

So, we have

Rate = 250,000 cm^3/cm^2

Hence, the rate which the mulch is being applied is 250,000 cm^3/cm^2

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If in one week, a printing center made 1,222 copies of a 46 page article. The printing center also printed 485 copies of a 16 page essay. The number pages that the printing center print during the week is: 63,972 pages.

First step is to calculate first sets printed

Number of pages=(1222 copies×46 page article)

Number of pages=56,212

Second step is to calculate the second set printed

Number of pages=(485 copies×16 page article)

Number of pages=7,760

Third step is to calculate the total pages

Total pages=56,212+7,760

Total pages=63,972 pages

Therefore If in one week, a printing center made 1,222 copies of a 46 page article. The printing center also printed 485 copies of a 16 page essay. The number pages that the printing center print during the week is: 63,972 pages.

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The value of expression log₃27-2 log₃3 is equal to 1.

Given that the expression is log₃27-2 log₃3.

We are told to find the value of the expression by finding the logarithmic functions.

Change of base theorem is basically used when we have the base of the number having different base from 10 as logarithm having 10 base is required to find the log value from table.

log₃27-2 log₃3=log₃27-log₃[tex](3)^{2}[/tex]

([tex]log_{b}a[/tex] is equal to log a/log b and m log a=log [tex]a^{m}[/tex])

=log₃27-log₃9

=log₃(27/9)

=log₃3

=log3/log3

=1

Hence the value of expression log₃27-2 log₃3 is equal to 1.

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Answer:

slope = -3

y-intercept = (0,7)

Step-by-step explanation:

42086

14

12

10+

4

2

422

+ 9

2 4 6

8 10 12 14 16 x

42595

given coordinates                           dilated coordinates

p' ( 4, 6 )                                               p'' ( 4, -6 )

Q' ( 2, 2 )                                              Q'' ( 2, -2 )

R' ( 6, 2 )                                               R'' ( 6, -2 )

S' ( 6, 6 )                                               S'' ( 6, -6 )  

Given data

p' ( 4, 6 )

Q' ( 2, 2 )

R' ( 6, 2 )

S' ( 6, 6 )

The given coordinates is gotten by ( x, y ) and the coordinates is gotten to be ( x, -y ). Applying the rule is solve as follows:

given coordinates                           dilated coordinates

( x, y )                                                     ( x, -y )

p' ( 4, 6 )                                               p'' ( 4, -6 )

Q' ( 2, 2 )                                              Q'' ( 2, -2 )

R' ( 6, 2 )                                               R'' ( 6, -2 )

S' ( 6, 6 )                                               S'' ( 6, -6 )  

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Answer: False, it's the other way around

Step-by-step explanation:hope it helps, brainliest? i could really use it

Answer:

Step-by-step explanation:

it is - 2 3/4 or it would be -2.75

If you are aware of the line's length or have access to a ruler, bisecting (or cutting in half) a line is not difficult. However, you can still cut the line in half with a straightedge and compass even if you don't know how long it is.

Draw the section of the line you need to divide. You must use a straightedge to create the line segment if it is not already present. Put the compass needle on either terminal to accomplish this. Approximately half of the length should be covered by the compass when it is opened.

Using the compass, aim to keep the needle on the endpoint and refrain from changing the compass's setting. To do this, position your straightedge on the intersection of the arcs above the line and line them up with the intersection below the line. The line is bisected at a 90-degree angle by the line you draw connecting the two arc intersections.

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The area and perimeter of the figures are 7) area=544 cm² and perimeter = 120 cm (8)area = 90cm² and  perimeter =  46 cm .

Area is defined as the total surface occupied by a figure. The SI unit of area is m² .

Area of rectangle is given by the product of its two sides the  length and Width

Perimeter is the sum of all sides of a two-dimensional figure.

7) In the first figure we have to separate it into a square and a rectangle.

Area of the square on top = 16 × 16 = 256 cm²

Length of the longest side in the second rectangle = 16 + 8+12=36cm

Area of the second rectangle = 36 × 8 = 288 cm²

Total area of the figure = (288 + 256) cm² = 544 cm²

Perimeter = 16 + 16 + 8 + 8 + 36 + 8 + 12 + 16 = 120 cm (taking all sides anti-clockwise from the top.)

8)Here we separate the two figures into two rectangles .

Length of the rectangle = 12 cm

Area of the first rectangle = 12 × 5 = 60 cm²

Area of the second rectangle = (6 × 5) cm² = 30cm²

Total area = (60 + 30)cm² = 90cm²

Perimeter = (5 + 6 + 7 + 5 + 12 + 11) cm² = 46 cm

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I assume you mean the polynomial

[tex](ax^6 + bx^8 + cx^3 + d) (x^5 + ex^4 + f) (x^2 + gx + h)[/tex]

The degree of this polynomial is the exponent of the largest power of [tex]x[/tex] in the expansion of the product.

This term is the product of the largest power terms in each factor. These are

[tex]ax^6 + bx^8 + cx^3 + d \implies bx^8[/tex]

[tex]x^5 + ex^4 + f \implies x^5[/tex]

[tex]x^2 + gx + h \implies x^2[/tex]

So, the largest power term in the polynomial is

[tex]bx^8 \cdot x^5 \cdot x^2 = bx^{15}[/tex]

and the degree is 15.

The value of log₄(256) is 4

In order to solve logarithm with different bases change of base rule is used, according to which a logarithm operation can be rewritten as a fraction of logarithms having a new base

                                logₐb = (logₓb) / (logₓa)

log₄(256) = (log₁₀256) / (log₁₀4)

= (log₁₀4⁴) / (log₁₀4)

As per the power rule of logarithms, the logarithm of an exponential number is equal to exponent times of the logarithm it means when an logarithmic term has an exponent it is transferred to the front of the logarithm and the logarithm is multiplied with it.

                                 (∵ logₐMⁿ = n logₐM)

=(4log₁₀4) / (log₁₀4)

= 4

Hence, it is seen that the value of the above question, log₄256 is 4.

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Answer:

8 and 12

Step-by-step explanation:

The distance between points is 9.11 .

What is the Distance Between Two Points?

the distance between points V(1,3) and W(6, -1)

[tex]d = \sqrt{( x_{2}- x_{1})^{2} + ( y_{2} - y_{1})^{2} }[/tex]

so x₁ = 1 , x₂ = 3 and y₁ = 6 , y₂ = -1

[tex]vw = \sqrt{( 3-1 )^{2} + ( -1 - 6 )^{2} }[/tex]

[tex]vw = \sqrt{( 2 )^{2} + ( -7)^{2} }[/tex]

[tex]vw = \sqrt{4 + 79}[/tex]

[tex]vw = \sqrt{83}[/tex]

vw = 9.110433 ≈ 9.11

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The inverse for the function f (x) = 4√x will be f ⁻¹ (x) = x² / 16

We are given the function:

f (x) = 4√x

we need to find the inverse of the function.

First we will write the function in the form of x.

y = 4√x

y / 4 = √x

x = y² / 4²

x = y² / 16

So, the inverse function will be:

f ⁻¹ (x) = x² / 16

Therefore, the inverse for the function f (x) = 4√x will be f ⁻¹ (x) = x² / 16

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Answer:

If in the next 6 days she rides an average of 8 miles per day, she will meet her goal.

Step-by-step explanation:

What is the average number of miles she would have to ride each day to meet her goal?

We know that Mayerlin wants to ride her bicycle for 56 miles this week, and she already has ridden 8 miles, so the distance left is:

56mi - 8mi = 48mi

Now, to find the average distance that she needs to ride each day in order to meet her goal, we need to take the quotient between the distance left and the number days that she has left (6 days), then we will get:

D = 48mi/6 = 8mi

This means that if in the next 6 days she rides an average of 8 miles per day, she will meet her goal.

Answer: x=1308.8

Step-by-step explanation:

The simplest form of the expression is 3xy .

We have given an expression  ∛81 x⁵ y³ / ∛3 x² .

On simplifying , we get

   [tex]\frac{(81x^5y^3)^{1/3}}{(3x^2)^{1/3}} = \frac{(3^4x^5y^3)^{1/3}}{(3x^2)^{1/3}}\\\\= \frac{3^{4/3}x^{5/3}y}{3^{1/3}x^{2/3}} \\\\= 3xy[/tex]

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Answer:

Step-by-step explanation:

Area of shaded region = Area of Square ABCD− Area of 4 quadrants of circle

Side of square =14cm

Area of Square =(side)

2=(14) 2=196cm 2Radius of circle  = half of the side of square = 214=7cmArea of quadrant of circle = 41πr 2

Area of 4 quadrants of circle =4( 41 πr 2)= 722×7×7=154cm 2  Area of shaded region =196−154=42cm 2

Answer:3.8

Step-by-step explanation:

3.8

The perimeter of rectangular classroom with its length five times its width is 108 ft.

Rectangle is two - dimensional shape with four sides such that the pair of two opposite sides are equal and parallel to each other.

Given is the width of rectangular classroom which is 9 ft wide. Its length is five times its width. From this, we can write -

Width [W] = 9 ft

Length [L] = 5W = 5 x 9 = 45 ft

The perimeter of rectangle is the sum of the length of its sides. Therefore, the perimeter [P] of the rectangle will be -

[P] = 2(L + W) = 2(9 + 45) = 2 x 54 = 108 ft

Therefore, the perimeter of rectangle with its length five times its width is 108 ft.

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Step-by-step explanation:

a 4.1565×10²

b 2.675×10°

c 5.4906×10¹

d 7.104×10¹

e 9.001×10°

f 1.0298×10¹

The value of the quotient is 2. 83

A fraction can be defined as the part of a whole.

The types of fractions are;

It is also important to note that quotient also mean division.

Now, let's convert the mixed fraction to improper fraction.

We then have;

= 17/6

Find the quotient

= 2. 83

Thus, the value of the quotient is 2. 83

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The answer for the given logarithmic function is 3

Logarithm is a mathematical tool used to make high value calculations simple.

It is the exponent to the power of which a number must be raised to give a certain result.

Some of the important formulas in logarithm are:

loga[tex]b^{n}[/tex] where a is considered as base of the logarithm and b is the argument

is given as nlogab

when base and the argument is same , log is given as 1

logabc where a is the base is given as logab+logc

loga b/c where a is the base is given as logab-logac

Now it is given to us to find the value of log₅125

where 5 is the base and 125 is the argument

125 = 5x5x5 which is [tex]5^{3}[/tex]

hence 125 can be written as 5^3

Thus the logarithmic function becomes

log₅125=log₅[tex]5^{3}[/tex]

thus it can be written as3log₅5

Now we know that log₅5 can also be written as log5/log5

And hence log5/log5 becomes 1

Thus 3log₅5 = 3*1 =3

Hence the answer to the given logarithm is 3

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The equation used to find the monthly fee is 12y= 735.95 - 15.95

The monthly fee is $60

Sara paid a one time fee of $15.95

She then paid a monthly fee, let y represent the monthly fee

For the total period of 12 months she paid $735.95

Therefore the amount she paid monthly can be calculated as follows

12y= 735.95-15.95

12y= 720

y= 720/12

y= 60

Hence the amount Sara paid monthly is $60

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Answer:

(10x-5)-(-4x-5)=

10x-5+4x+5=

14x

i think i did it right?

Step-by-step explanation: