Which equation does not represent a linear function of x?


a. y = -3 over 4 x
b. y = x over 2
c. y = - 3 + 2x
d. y = 3x2 - 2

Answer:

undefined

Step-by-step explanation:

division by zero is undefined

Division Property of zero

For any nonzero real number a

The quotient of "a" and 0 is undefined. That is a/0 is undefined

Pythagorean theorem is represented by triangle B.

In this question we find four cases of triangle, of which we must determine what triangle can be explained by Pythagorean theorem. This theorem offers a relationship between the three sides of the triangle:

r² = x² + y²

Where:

Please notice that hypotenuse is the longest side of the triangle. Graphically speaking, there is a right triangle, that is, a triangle with one right angle. Then, triangle B express the relationship according to Pythagorean theorem.

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Answer:

x=8

Step-by-step explanation:

We have been given with the function:  

Here, we have same base of logarithmic function on both sides of the equation.

So, we will equate the values on right hand side and left hand side of the equation we will get  

After simplification we will get  

After further simplification we will get  

Hence,  

Therefore the correct answer is 8.

Answer:

$142.86

Step-by-step explanation:

In order to know the original price of the sound bar, it is best to write the problem above into a mathematical sentence first.

Given: $30 = the amount you were able to save

          21% = the discount (this means that $30 is the 21% discount)

Let x be the original price of the sound bar.

The mathematical sentence is:

$30 is 21%(0.21) of x

x=\(\frac{30}{0.21}\)

x= $142.857 or $142.86 (once rounded off to the nearest hundredths)

So, the original price of the sound bar before the discount is $142.86

Yes, this is reasonable. The circumcenter of a triangle is found by taking the average of the x-coordinates of the three points and the average of the y-coordinates of the three points, so for this triangle, the circumcenter would be at (5.67, 2.67).

The circumcenter of the triangular plot of land with vertices at (1, 5), (7, 5), and (8, 0) is at (5.67, 2.67), which is reasonable.

1. Calculate the average of the x-coordinates of the three vertices: (1 + 7 + 8) / 3 = 16 / 3 = 5.67

2. Calculate the average of the y-coordinates of the three vertices: (5 + 5 + 0) / 3 = 10 / 3 = 2.67

3. Therefore, the circumcenter of the triangle is (5.67, 2.67).

The circumcenter of the triangular plot of land with vertices at (1, 5), (7, 5), and (8, 0) is at (5.67, 2.67), which is reasonable.

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At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.

To find the total revenue at each price, we can multiply the price by the corresponding quantity.

Price        Quantity          Total Revenue

$6                0                      $0

$5                 1                       $5

$4                 2                       $8

$3                 3                        $9

$2                 4                         $8

$1                  5                          $5

To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.

In this case, the highest total revenue is $9, which occurs when the price is $3.

At a price of $3, the company will sell 3 units (as indicated in the Quantity column).

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Answer:

\(Probability = \frac{27}{80}\)

Step-by-step explanation:

Given

\(Blue =9\)

\(Yellow = 7\)

Required

Determine the probability that one of the balls is blue while others is yellow

The order of selection may be any of these three:

Yellow, Yellow, Blue or Yellow, Blue, Yellow or Blue, Yellow, Yellow

Solving Yellow, Yellow, Blue

\(Probability = P(Y_1) * P(Y_2) * P(B)\)

\(Probability = \frac{7}{16} * \frac{6}{15} * \frac{9}{14}\)

\(Probability = \frac{1}{8} * \frac{1}{5} * \frac{9}{2}\)

\(Probability = \frac{9}{80}\)

Solving Yellow, Blue, Yellow

\(Probability = P(Y_1) * P(B) * P(Y_2)\)

\(Probability = \frac{7}{16} * \frac{9}{15} * \frac{6}{14}\)

\(Probability = \frac{9}{80}\)

Solving Blue, Yellow, Yellow

\(Probability = P(B) *P(Y_1) * P(Y_2)\)

\(Probability = \frac{9}{16} * \frac{7}{15} * \frac{6}{14}\)

\(Probability = \frac{9}{80}\)

Hence:

The required probability is:

\(Probability = \frac{9}{80} + \frac{9}{80} + \frac{9}{80}\)

\(Probability = \frac{27}{80}\)

162

Step-by-step explanation:

(12 square - 15 + 17) + 16

=(144 - 15 + 17) + 16

=146 + 16

=162

One of the Possible values of length and width of the prism are 15 cm and 0.5 cm

In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Given here: The volume of the prism is 2¹/₂=2.5 cm³

And the height is 1/3 cm

let the length and breadth of the prism is x and y respectively.

We know the volume of the prism as

1/3 × x×y=2.5

x×y=7.5

Thus possible values of length and breadth are the factors of 7.5

out of which one of the pair whose length is 15 cm and width 0.5 cm

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Answer:

14

Step-by-step explanation:

So all you gotta do is follow the formula LxWxH and so 2x3.5x2 which is 14.

Answer:

C = 6.28

A = 3.14

Step-by-step explanation:

use the equations for area and circumference to solve

C = pi d

A = pi r^2

I like to remember these using the saying Cherry pie's delicious, Apple pie's are too so Cherry = pi's delicious, Apple = pi's r 2

so with the diameter of 2 plug in to get circumference

C = 3.14 (2)

C = 6.28

and the equation for area uses radius not diameter but we know that d/2=r so radius is 1, plug in to solve

A = 3.14 (1)^2

A = 3.14 (1)

A = 3.14

Hope this helps! :)

The equations that has the solution x = all real numbers is 5(3x)+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x,

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Here given equations,

5(3x) + 6x = 3x + 15 + 2x

15x + 6x = 3x + 15 + 2x

15 x + 6x - 3x -2x = 15

16 x = 15

x = 15/16

5(3x).+ 7x = 3x + 15 - x

15 x + 7x = 3x + 15 - x

15 x + 7x - 3x + x = 15

22x - 3x + x = 15

20 x = 15

x = 15/20

x = 3/4

5(3x) + 7x = 3x + 10 - x

15x + 7x - 3x + x = 10

20x = 10

x = 10/20

x = 1/2

5(3x) + 7x = x + 15 - 3x

15x +7x - x + 3x = 15

24x = 15

x = 15/24

x = 5/8

Therefore the equations that has the solution x = all real numbers are :

5(3x).+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x .

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Let x be the regular price, then we can set the following equation:

Solving for x we get:

The age of the bird skeleton is 6539.

An exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Here, N =\(N_{0}.e^{-0.0001t}\)

             = 52% N₀

\(e^{-0.0001t}\) = 0.52

-0.0001 t = ln 0.52

t = -10000 ln 0.52

t = 6539

Thus, the age of the bird skeleton is 6539.

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Answer:

Step-by-step explanation:

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer: 2+2=4

Explanation:

You can visualize this sum if you think of adding ballons.

If you have 2 ballons in one room, and 2 ballons in another room, in total you will have 4 balllons.

For exaple we can use the following:

You add the total of the things you have to get the answer.

Answer: 2+2=4

Answer:

8 units

Step-by-step explanation:

Area of square:

length * width

2 * 3

= 6  units

Area of triangle:

1/2 * base * height

1/2 * 2 * 2

= 2 units

Area of entire shape:

6 + 2

= 8 units

So, the area of the shape is 8 units.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Let's assume x gallons of milk containing 8% butterfat and y gallons of milk containing 2% butterfat are used.

The total amount of milk is x + y gallons, and we want it to be equal to 258 gallons.

To determine the amount of butterfat in the mixture, we can multiply the volume of each type of milk by its respective butterfat percentage and sum them up.

For milk containing 8% butterfat, the amount of butterfat is 0.08x (8% is equivalent to 0.08 as a decimal).

For milk containing 2% butterfat, the amount of butterfat is 0.02y (2% is equivalent to 0.02 as a decimal).

Since we want the final mixture to contain 7% butterfat, we can set up the following equation:

0.08x + 0.02y = 0.07(258)

Simplifying the equation, we have:

0.08x + 0.02y = 18.06

To solve for x and y, we need another equation. Since the total amount of milk is x + y = 258, we can rearrange it to y = 258 - x.

Substituting this value into the equation above, we get:

0.08x + 0.02(258 - x) = 18.06

Solving this equation will give us the values of x and y, which represent the gallons of milk containing 8% butterfat and 2% butterfat, respectively, needed to obtain the desired 258 gallons.

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Answer:

\(n = \frac{7}{m + 2} \)

Step-by-step explanation:

\(m + 2 = \frac{7}{n} \)

To make n as the subject , we need to isolate it.

■ Lets multiply n on both the sides in order to shift n to the L.H.S.

\( = > n(m + 2) = \frac{7}{n} \times n\)

\( = > n(m + 2) = 7\)

■ Lets now divide (m + 2) on both the sides in order to isolate n in L.H.S

\( = > \frac{n(m + 2)}{( m+ 2)} = \frac{7}{(m + 2)} \)

\( = > n = \frac{7}{m + 2} \)

Answer:

  4 and 6

Step-by-step explanation:

Look at the ways 24 can be written as a product.

  24 = 1×24 = 2×12 = 3×8 = 4×6

The sums of these factors are 25, 14, 11, 10. The factor pair you're looking for is the one that has a sum of 10:

  4 and 6

Answer:

2249999.99524

Step-by-step explanation:

The answer would be 2249999.99524

Or just 224999

Sorry for the last answer!

Answer:

1

Step-by-step explanation:

Don't worry I just know

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

48

Step-by-step explanation:

Remark

Use a^2 + b^2 = c^2 to solve for the height.

Givens

c = 10

b = 6

h = ?

Solution

b^2 + h^2 = c^2

6^2 + h^2 = 10^2

36 + h^2 = 100            Subtract 36

h^2 = 100 - 36

h^2 = 64                      Take the square root of both sides

sqrt(h^2) = sqrt(64)

h = 8

The height = 8

Area = 1/2 * b * h

Area = 1/2 *12 * 8

Area = 48

Comment

You might wonder where the 12 came from. It wasn't given The base is the whole line across the bottom. 1/2 of it is six. The whole base = 12

Answer:

Step-by-step explanation:

Volume

V = w h l

V = 2*15*13

V = 390 ft^3

-------------------------

Surface area

SA = b*h

SA = 15*13

SA = 195

-------------------------

b) Surface area

C) Volume

Answer:

$12.25

Step-by-step explanation:

1.75 x 7 = 12.25

Answer:

Whats the question?

Answer:

The cost price is Rs. 3332

Step-by-step explanation:

Selling Price = 3,467

Profit = 135

Original Cost,

Since we know that,

Profit = Selling Price - original cost,

so,

Original Cost = Selling Price - Profit

Original Cost = 3467 - 135

Original Cost = 3332

Answer:

Cost price=Rs3,332

Step-by-step explanation:

Selling price=Rs3,467

Profit=Rs135

Cost price=Selling price-Profit

Cost price=3,467-135

Cost price=Rs3,332

Answer:

$28 per hour

Step-by-step explanation:

Let's first find out how much extra Victoria was paid during the week she worked overtime.

Without overtime, Victoria's weekly paycheck would be $550. However, she received $690 that week. The difference between the two amounts is the extra pay for overtime:

Extra pay = Total pay - Regular pay = $690 - $550 = $140

Now, we know that Victoria worked 5 hours of overtime. To find her overtime pay per hour, we can divide the total overtime pay by the number of overtime hours:

Overtime pay per hour = Total overtime pay / Overtime hours = $140 / 5 = $28

Victoria's overtime pay is $28 per hour.

Hope this helps!

Answer:

Victoria is paid $28 per hour of overtime.

Step-by-step explanation:

Get the difference of Victoria's paycheck with and without overtime.

Difference = $690 - $550

Difference = $140

The difference is the amount that she was paid for the overtime.

Since she worked for 5 hours then we can just divide the amount over the time.

Rate = $140/5hours

Rate = $28/hr

A more modern explanation would be, "Parallel lines are two lines within a given plane that never intersect."

Two lines on a sphere are an illustration that defies the notion of parallel lines. Meridians are the name given to longitude lines on spheres like the Earth.

Meridians are lines that run parallel to one another from the North Pole to the South Pole. However, if we take into account two meridian lines, they will cross at the North and South Poles. Two lines that are originally parallel will, therefore, eventually intersect at the poles on a sphere, defying the notion of parallel lines.

We can change the original definition of parallel lines to read, "Parallel lines are two lines that do not intersect within a given plane."

This adjustment accounts for the fact that lines can exist in many geometrical contexts, such as on a sphere or in three-dimensional space, where the idea of parallelism may be different. By including the phrase "within a given plane," we restrict the concept to the typical geometry seen in Euclidean geometry, where parallel lines do not meet.

A newer definition may therefore read, "Parallel lines are two lines within a given plane that never intersect." This updated definition makes clear that parallel lines must be taken into account inside a certain plane in order to maintain their validity, while also acknowledging the limitations of the idea.

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