Factor each expression completely. 9 x²+48 x+64

The simplify of the expression is [tex]7\sqrt{2} x^{4}[/tex].

The word simplifies manner to make something less complicated to do or understand. So, by lowering or simplifying the fractions method we make the fraction as simple as viable. We try this by dividing the numerator and the denominator by using the most important number which could divide into both numbers precisely.

to assess an algebraic expression manner to discover the fee of the expression while the variable is changed by way of a given variety. to evaluate an expression, we replace the given wide variety for the variable within the expression and then simplify the expression with the usage of the order of operations.

Whilst you simplify an expression, you are essentially seeking to write it in the handiest manner possible. at the give-up, there should not be any extra including, subtracting, multiplying, or dividing left to do.

⇒ [tex]\sqrt{14} = \sqrt{7} \sqrt{2}[/tex]

= [tex]\sqrt{7} x^{3} \sqrt{x7} \sqrt{2}[/tex]

= [tex]7x^{4} \sqrt{2}[/tex]

= [tex]7\sqrt{2} x^{4}[/tex]

Learn more about simplifying here https://brainly.com/question/5841775

#SPJ4

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

Read more here

https://brainly.com/question/10658664?referrer=searchResults

#SPJ1

Answer:

slope = -3

y-intercept = (0,7)

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

Learn more about inverse function here- https://brainly.com/question/18226349 "

#SPJ4

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

Read more about rates at

https://brainly.com/question/2021001

#SPJ1

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.

According to the given statement the expand form of the logarithm 4log₃x+log₃7 is 11log₃.

Logarithms are another way to write exponents. A number's logarithm with only a base equals another number. Modular multiplication is the inverse function of the logarithm. For instance, if 102 = 100, log10 100 = 2.

4log₃x+log₃7

4log₃x this expression can not be further expand:

log₃7 applying the log property of (log ₐᵇ = b log a)

log₃7 this can be written as 7 log 3

the complete expiration is:

4log₃x+7log3

or

4log₃x+7log₃

So,

11log₃

the expand form of the logarithm 4log₃x+log₃7 is 11log₃.

To know more about Logarithms visit:

https://brainly.com/question/28346542

#SPJ4

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.

Learn more about logarithms here

https://brainly.com/question/25710806

#SPJ4

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.

Learn more about change of base theorem at https://brainly.com/question/24788069

#SPJ4

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.

Learn more about the direct variation from :

brainly.com/question/14254277

#SPJ4

The justification of each step in solving the inequality is;

⇒ - 21 - 56x + 5x ≤ 1 − 62x    (Distributive property)

⇒ - 21 - 51x ≤ 1 − 62x            (Subtraction property of order)

⇒ - 21 + 11x ≤ 1                       (Addition property of order)

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

The inequality is given as;

−7 (3 + 8x) + 5x ≤ 1 − 62x

Now, Find the justification of each step in solving the inequality as;

The inequality is solve as,

−7 (3 + 8x) + 5x ≤ 1 − 62x

                                      (Given)

- 21 - 56x + 5x ≤ 1 − 62x

                                    (Distributive property)

- 21 - 51x ≤ 1 − 62x

                                    (Subtraction property of order)

- 21 + 11x ≤ 1

                                     (Addition property of order)

11x ≤ 22

                                     (Addition property of order)

x ≤ 2

                                     ( Division property of order )

Hence, The justification of each step in solving the inequality is;

⇒ - 21 - 56x + 5x ≤ 1 − 62x    (Distributive property)

⇒ - 21 - 51x ≤ 1 − 62x             (Subtraction property of order)

⇒ - 21 + 11x ≤ 1                        (Addition property of order)

Learn more about the inequality visit:

https://brainly.com/question/24776529

#SPJ1

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

Learn more about distance

brainly.com/question/12250852

#SPJ9

Answer:

I think there are 2 more ways the list could be written

Step-by-step explanation:

42086

14

12

10+

4

2

422

+ 9

2 4 6

8 10 12 14 16 x

42595

In July, 231 units are expected to be produced, according to the production budget.

A master budget is a comprehensive budget that is built from a collection of smaller, more specialized business budgets. The master budget process is divided into two parts: an operating budget and a financial budget, each of which is made up of a succession of smaller budgets.

A sales budget is a budget that forecasts a company's total revenue for a given time period. It forecasts the company's performance based on two factors: the number of products sold and indeed the price under which they are sold.

The word "production budget" is used specifically within film production sometimes, more broadly, in business. The term "film production budget" refers to the amount of money that will be spent on the complete film project. It entails identifying and estimating cost items for each stage of filmmaking.

The budgeted price per unit is = $65

Budgeted unit sales for  July = 15000.

Units should be manufactured in July = ?

The sales budget basically reflects the anticipated sales revenue for the next accounting quarter. It is simply prepared merely displaying the predicted sales quantity multiplied by that of the unit selling price.

sales budget for July = Units selling price ×  expected units to be sold.

15000 = 65 x expected units to be sold

expected units to be sold = 15000/65

                                           = 231 (approx.)

Units should be manufactured in July =  231 (approx.)

To know more about master budget visit:

https://brainly.com/question/15306800

#SPJ1

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

Learn more about quotient here:

https://brainly.com/question/11418015

#SPJ1

Answer:

multiply by 2

Step-by-step explanation:

5x2=10

10x2=20

Answer:

the rule is that each time you go up you add the number by itself to get another for example 5, 10 we now know that 5+5 = 10 continuing 5, 10, 20

10+10 = 20

Answer: False, it's the other way around

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

Answer: Slope (m) Slopem=5/8

Step-by-step explanation:

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

To learn more about area and perimeter visit:

https://brainly.com/question/11957651

#SPJ9

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]

Learn more about expression here :

brainly.com/question/723406

#SPJ4

Answer: x=1308.8

Step-by-step explanation:

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.

Learn more about total pages here:https://brainly.com/question/1169675
#SPJ1

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.

Answer:

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

10x-5+4x+5=

14x

i think i did it right?

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

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