find the sum 4/V3 + 11/V12

Answer:

f(2) = 7

Step-by-step explanation:

Given information,

→ f(x) = 5x - 3

→ f(2) = ?

Now the value of f(2) will be,

→ f(x) = 5x - 3

→ f(2) = 5(2) - 3

→ f(2) = 10 - 3

→ [ f(2) = 7 ]

Hence, the value of f(2) is 7.

Answer:

1) 81/ 64

2)DNE(undefined), and

3)529/64

Step-by-step explanation:

1) 8√x + 7 = 16

8√x = 16 - 7 = 9

√x  = 9/8

x = (9/8 )² =  81/ 64

2) √7x+4−3=0

√7x + 1 = 0

√7x =  -1

as the square root is always positive, it is impossible.

3)  8√5x−7=16

8√5x = 16 + 7 = 23

√5x = 23/8

5x = (23/8)²  =  529/64

To learn more Extended Square Root  problems refer:

https://brainly.com/question/28843838

#SPJ13

The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

To learn more about : quadratic

https://brainly.com/question/1214333

#SPJ11

Domain are all real numbers expect x = - 1, and x = - 3

We have to given that;

Functions are,

f (x) = (- x + 5) / (3x + 3)

And, g (x) = (x + 5) / (- 2x - 6)

Now, We can formulate;

⇒ f (x) × g (x)

⇒ (- x + 5) / (3x + 3) × (x + 5) / (- 2x - 6)

⇒ (5 - x) × (5 + x) / (3x + 3) (- 2x - 6)

⇒ (25 - x²) / (3x + 3) (- 2x - 6)

⇒ (x² - 25) / (3x + 3) (2x + 6)

⇒ (x² - 25) / 6 (x + 1) (x + 3)

Hence, Domain are all real numbers expect x = - 1, and x = - 3

Because at x = - 1 and x = - 3 function are not defined.

Thus, Domain are all real numbers expect x = - 1, and x = - 3

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

The real solutions of f(x) = 0 are -6, 0 and 8.

Function is an expression which is defined for the relationship between an independent variable and a dependent variable. In other words, it is related from a set which is called the domain to a set called range where the element in domain only has an image in range.

Given graph of a function.

f(x) = 0 implies that for particular values of x, the function maps to 0.

From the graph y = f(x)

We have to find the point values of x such that y value is 0.

These are the points where the graph touches the X axis.

The graph touches X axis at -6, 0 and 8.

Hence the real solutions of the function f(x) = 0 are  -6, 0 and 8.

Learn more about Functions here :

https://brainly.com/question/14231580

#SPJ1

Answer:

27

Step-by-step explanation:

y=kx

9=k*5, so k=9/5

when x=15

y=(9/5)*15=27

The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.

The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.

To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.

The negative reciprocal of 5 is -1/5.

Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:

y - y1 = m(x - x1)

Substituting the values:

y - (-2) = (-1/5)(x - 1)

Simplifying:

y + 2 = (-1/5)(x - 1)

To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:

y + 2 = (-1/5)x + 1/5

Subtracting 2 from both sides:

y = (-1/5)x + 1/5 - 2

Combining the constants:

y = (-1/5)x - 9/5

Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

For more question on perpendicular visit:

https://brainly.com/question/1202004

#SPJ8

The conclusion in the conditional statement "If a shape is a quadrilateral, then it has exactly four sides" is "it has exactly four sides." Option  C

From the information given, we have that the statement is;

"If a shape is a quadrilateral, then it is has exactly four sides."

The antecedent (if a shape is a quadrilateral) and the consequent (then it has exactly four sides) of the statement are in a conditional connection.

The precise assertion or claim based on this conditional relationship is the conclusion.

In this instance, the conclusion argues that a shape must logically have four sides in order to qualify as a quadrilateral.

Learn more about conditional statement at: https://brainly.com/question/11073037

#SPJ1

The complete question:

Identify the conclusion in the conditional statement below.

"If a shape is a quadrilateral, then it is has exactly four sides."

A."If it is a quadrilateral, it has four sides"

B."a shape is quadrilateral"

C. "It has exactly four sides"

Answer:

Step-by-step explanation:

2x×1=(√3)²

2x=3

x=3/2

Answer:

(a) R = P +C

Revenue= Profit + Cost

(b) R = $6000

Step-by-step explanation:

(b) R = $4525 + $1475

        = $6000

Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.

The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.

The point where the graph crosses the y-axis is called the y-intercept, or c.

Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x

OR

y₁/x₁ = y₂/x₂

In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,

1 1/4 gallons of water are required.

The proportional formula is written as y = k x.

Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.

1.25 gallon of water is required for 6 scoops.

This means that k = 2/0.5

k = 2/(1/2)

k = 2 x 2

k= 4

Equations describing the relationship can be expressed as y = 4x + c.

0.5 gallon of water is now required for 2 scoops.

2=4(1/2)+c

2=2+c

c=0

Therefore, the formula will be y = 4x.

The end includes a graph for y = 4x.

12 scoops of water:

12=4x

x=3 gallons of water is needed.

To know more about proportional relationship, visit:

https://brainly.com/question/29765554

#SPJ1

The number of pork sliders sold is given as follows:

24 pork sliders.

The number of pork sliders sold is obtained applying the proportions in the context of the problem.

The total number of pork sliders is given as follows:

120 pork sliders.

The percentage of pork sliders sold is given as follows:

20%. (proportion of 0.2).

Hence the amount sold is given as follows:

0.2 x 120 = 24 pork sliders.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

what is the question? there is no question to answer

Step-by-step explanation:

Replacing into the equation with t = 0, 1 and 14, we get:

And the table is:

t | P(t)

0 | 2600

1 | 2496

14 | 1468

As we can see in the table, the population is decreasing. This is because the base of the exponent, c = 96/100, is less than 1.

The statement P(14) means that t = 14, that is, 14 years have elapsed since 2000. And the population is 1468 students.

Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

Answer: 0.333

you cant make that a whole percent and it's not a fraction.

Given:

Consider the given expression is:

\(10n-\dfrac{1}{3}(9n-12)\)

To find:

The simplified form of the given expression.

Solution:

We have,

\(10n-\dfrac{1}{3}(9n-12)\)

Using distributive property, it can be written as:

\(=10n-\dfrac{1}{3}(9n)-\dfrac{1}{3}(-12)\)

\(=10n-3n+4\)

\(=7n+4\)

Therefore, the correct option is A.

Answer:

B

Step-by-step explanation:

6x -8y = - 16y

6x = -8y

8y = 17x + 4

-8y = -17x - 4

6x = -17x - 4

23x = -4

x = -4/23

Answer:

I think Baseball, not positive tho, hope its right, sorry if not

Answer:

 Table B -

Step-by-step explanation:

You want to know which of the four offered tables represents a linear function.

A linear function will have differences in y that have the same ratio to differences in x for all pairs of values in the table.

Table A has x-differences that are 1 between adjacent terms. The y-differences are negative for the first pair of table values, but positive for the last pair (2 -5 vs 5 -2).

Table B has x-differences that are 1 between adjacent terms. The y-differences are -2 between any pair of adjacent terms, so their ratio to x-differences is -2/1 = -2, a constant. Table B represents a linear function.

Table C has x-differences that change from 0 to -3 to +3 while y-differences are constant at +1. The ratios of differences are not constant.

Table D has x-differences of +1, and y-differences that alternate in sign and magnitude.

Only Table B represents a linear function.

<95141404393>

The percent of increase from 5.5 feet to 6 feet is 9.1%

Percentage is a way to express a number as a fraction of 100.

It is often used to express a proportion or rate in a convenient and understandable way.

To calculate percentage, you can use the formula: (part/whole) x 100.

For example, if you scored 80 out of 100 on a test, your percentage score would be 80%.

Percentage is often used in many fields such as finance, statistics, and education.

It can be used to express the increase or decrease between two values or to compare the parts of a whole.

You can use the following calculation to determine the percentage increase from 5.5 feet to 6 feet:

Old Value * 100 / (New Value - Old Value) = Percent Increase

In this case:

(6 - 5.5) / 5.5 * 100 = 9.090909090909091%

You can round this to the nearest tenth, which would be 9.1%.

Therefore, the percent of increase from 5.5 feet to 6 feet is 9.1%.

To learn more about percentage, visit

brainly.com/question/24877689

#SPJ1

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

Using the scale factor, we have ...

  x/8 = 0.25/1

  x = 8(0.25) . . . . multiply by 8

  x = 2

_____

Additional comment

I like to write proportions with the variable in the numerator. That way they are easily solved by a single multiplication. The trick is to get corresponding parts in the same positions. Here, the fractions are written ...

  B/A = smaller part / larger part = x/8 = 0.25/1

The perimeter of the shape is 10 inches.

It's important to note that the perimeter of a shape or calculated by adding all the sides together.

In this case, this is a rectangle and the perimeter will be:

Perimeter = 2(length + width)

Length = 4 inches

Width = 1 inch

Perimeter = 2(length + width)

Perimeter = 2(4 + 1)

Perimeter = 10 inches.

Learn more about perimeter on:

brainly.com/question/19819849

#SPJ1

Answer:

did you understand ? do I have to solve all?

Answer:

The answer is 9 + 21b

Step-by-step explanation:

Simplify the expression.

~Hoped this helped~

Answer:

9 + 21b

Step-by-step explanation:

I) Distribute the terms:

3(3 + 7b) = 3(3) + 3(7b)

II) Solve:

3(3) = 9

3(7b) = 21b

9 + 21b

The solution that makes both expressions true is x = 8.55556 and y = 10.31746.

To solve for x and y, we need to use a system of equations involves finding the values of x and y that satisfy both equations simultaneously.

We can start by using the first equation to solve for x:

2x + 7x = 77

Combining like terms:

9x = 77

Dividing both sides by 9:

x = 8.55556 (rounded to six decimal places)

Now that we know the value of x we can use either equation to solve for y. Let's use the second equation:

5x + 7y = 115

Substituting x = 8.55556:

5(8.55556) + 7y = 115

Simplifying:

42.7778 + 7y = 115

Subtracting 42.7778 from both sides:

7y = 72.2222

Dividing both sides by 7:

y = 10.31746 (rounded to six decimal places)

For similar questions on expressions

https://brainly.com/question/1859113

#SPJ11

Answer:

The two numbers are: 8 and 16.

Step-by-step explanation:

Let the two unknown numbers be a and b.

The sum of the two number is 24. In other words:

\(a+b=24\)

The second number is equal to twice the first number. In other words:

\(a=2b\)

This is a system of equations. Solve by substitution:

\(a+b=24\\a=2b\\\\2b+b=24\\3b=24\\b=8\\a=2b\\a=2(8)=16\)

Answer:

Desmond has a debt of $98.

Step-by-step explanation:

We are given that Desmond has a monthly Netflix subscription that charges him $14. Since it is a monthly subscription, it is a recurring charge.

We are also given that he does not make payments for 7 months. This means that the subscription is recurring for seven months.

Therefore, if he is charged $14 monthly and is charged that for 7 months, we can say that he is charged $14 seven times.

Therefore, we can create an equation that solved how much his debt would be based on this information.

\(\displaystyle14(7) = c\\\\14\times7=98\\\\c = 98\)

Therefore, Desmond has a debt of $98.