A bicycle is on sale at a store for 15% off it’s original price. The original price, in dollars, of the bicycle is represented by the variable p.

Which of the following expression’s represents the final sale price, in dollars, of the bicycle?

Select the two correct answers.

1. P - 0.15p
2.P- 0.15
3. P - 0.85p
4. 0.15p
5. 0.85p

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.

After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.

However, Caesar, true to his word, had the pirates crucified on his own authority.

This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

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The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Answer:

You can download app to help you I hope you find your answer

Answer:

285 mi

Step-by-step explanation:

We can see that for every gallon, Josh drives 30 more miles. This means that he will drive 30*9.5 mi.

30*9.5 = 285

Answer:

I’m. Not really good at math but I think its b

Step-by-step explanation:

Answer:

  y = -5/2x +1

Step-by-step explanation:

You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.

The equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:

  5(-2) +2(6) = c

  -10 +12 = c

  2 = c

Now we know the equation of the parallel line can be written as ...

  5x +2y = 2

Solving for y puts this in slope-intercept form:

  2y = -5x +2 . . . . . . . . subtract 5x

  y = -5/2x +1 . . . . . . . . divide by 2

We don't know what your boxes look like, but we can separate the numbers to make it look like this:

  \(\boxed{y=\dfrac{-5}{2}x+1}\)

#95141404393

Answer:

Proved

Step-by-step explanation:

The options are not given. So, I will solve from scratch

Given

\(\frac{secx-1}{tan x}= \frac{tanx}{secx+1}\)

Required

Prove

Multiply the right-hand side by \(\frac{secx + 1}{secx + 1}\)

\(\frac{secx-1}{tan x} * \frac{secx + 1}{secx + 1}= \frac{tanx}{secx+1}\)

Apply difference of two squares on the numerator

\(\frac{sec^2 x - 1}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}\)

In trigonometry:

\(tan^2x = sec^2x - 1\)

So, we have:

\(\frac{tan^2 x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}\)

\(\frac{tan x * tan x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}\)

tan x cancels out

\(\frac{tan x}{secx + 1} =\frac{tanx}{secx+1}\)

Proved

Answer:

The answer is D

Mark ne as brianlist

The area of the triangle with the given vertices is 11.5 square units.

The area of a triangle can be calculated using the coordinates of its vertices using the following formula.

To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:

A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2

Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:

A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2

A = (0 - 4 + 27)/2

A = 23/2

A = 11.5

Therefore, the area of the triangle with the given vertices is 11.5 square units.

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Answer:

5.78571428571

Step-by-step explanation:

9/7 = 1.28571428571

9/2 = 4.5

And if you add it you get 5.78571428571

hopes this helps..

Solution for the given System of linear equation is:

Simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.

Given,  the system of linear equations on the left with its solution type on the right

For  Y=2x-1 and Y=2x+1

Adding both equation,  we will get y = 4x

Thus, these equations have infinite number of solution

For 2x - y = 7 and 3x + y = 3

Adding these equations

5x = 10

x= 2

Substitute the value in equation 1

y = -3

Thus, solution is (2, - 3)

therefore, the Solution for the given System of linear equation is:

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Complete question:

Answer:

4

Step-by-step explanation:

4 is the only whole number between 5 and 3.

Step-by-step explanation:

rain volumes (cm cubedcm3) of 50 brains vary from a low of 904 cm cubedcm3 to a high of 1502 cm cubedcm3. Use the range rule of thumb to estimate the standard deviation s and compare the result to the exact standard deviation of 171.5 cm cubedcm3, assuming the estimate is accurate if it is within 15 cm cubedcm3.

1502 - 904 = 598 / 4 = 149.5

Compare the result to the exact standard deviation.

the approximation is not accurate because the error of the range rule of thumb's approximation is greater than 15...

Significantly low values are...

(mean) - 2 * (standard deviation)

The adult male foot length is 24.3 cm, it falls below the lower limit (24.65 cm).

Therefore, the foot length of 24.3 cm is significantly low according to the range rule of thumb.

The range rule of thumb states that in a normally distributed dataset, we can identify significant values by considering values that fall within approximately two standard deviations from the mean.

Values that are significantly low are typically below the lower limit, and values that are significantly high are typically above the upper limit.

To find the limits, we'll use the mean and standard deviation given:

Mean (μ) = 26.89 cm

Standard Deviation (σ) = 1.12 cm

Lower Limit (significantly low values):

Lower Limit = Mean - (2 * Standard Deviation)

Lower Limit = 26.89 cm - (2 * 1.12 cm)

Lower Limit = 26.89 cm - 2.24 cm

Lower Limit = 24.65 cm

Upper Limit (significantly high values):

Upper Limit = Mean + (2 * Standard Deviation)

Upper Limit = 26.89 cm + (2 * 1.12 cm)

Upper Limit = 26.89 cm + 2.24 cm

Upper Limit = 29.13 cm

Now we have the lower limit and the upper limit:

Significantly low values are 24.65 cm or lower.

Significantly high values are 29.13 cm or higher.

Given that the adult male foot length is 24.3 cm, it falls below the lower limit (24.65 cm).

Therefore, the foot length of 24.3 cm is significantly low according to the range rule of thumb.

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To create a spider plot showing the effect on profit of varying the availability of resources, follow these steps:

1. Start by setting up your base-case values for each resource. This will be the starting point for your spider plot.

2. Next, create a series of data points for each resource by varying its availability between 90% and 110% of the base-case value in 2% increments. For example, if the base-case value for a resource is 100, you would create data points at 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, and 110.

3. Plot these data points on a spider plot, with the base-case value at the center and the varying values radiating outwards. Each resource should have its own line or "spider leg" on the plot.

4. Finally, add labels and a legend to your spider plot to make it easy to understand which resource is represented by each line and what the varying values mean.

By following these steps, you can create a spider plot that clearly shows the effect on profit of varying the availability of resources.

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For the graphed function, we have:

Domain:  (-1, 1) U (3, 5)

Range: (5, 2)

For any function y = h(x) we define the domain as the set of the inputs while we define the range as the set of the outputs.

To find the domain we need to look at the horizontal axis, we can see that the function is graphed on the intervals (-1, 1) and (3, 5), so the domain is:

D: (-1, 1) U (3, 5)

For the range we need to look at the vertical axis, the two intervals are (-4, 2) and (-5, 0), the union of these intervals gives:

(-4, 2) U (-5, 0) = (5, 2)

Then the range is R: (5, 2)

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Answer:the first one

22+(-22)+(-10)

Step-by-step explanation:

Answer:

A) 22+(-22)+(-10)

Step-by-step explanation:

If you add this you will get the same result as the statement

Answer:

175≥ 15x+65

Step-by-step explanation:

Kevin needs to have greater than or equal to 175 for his bike so you would start like this 175≥ then because he can mow lawns for money and each lawn is 15 you would arrange the inequality like this 175≥ 15x next you just add the 65 because its the amount of money he already has to make 175≥ 15x+65.

The number of lawns Kevin needs to mow to earn enough money to buy the bike he wants is 175≥ 15x+65.

This is defined as non-equal comparison between two numbers or mathematical expressions.

Since the bike he wants to buy is $175 then the amount needed will be equal or greater than it.  This therefore means:

175≥ 15x+65 where 15x is amount made from mowing and 65 the amount saved by him.

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To solve the question, choose values for x to find its corresponding image y. Then, plot the points and connect them.

Step 01: Choosing x = -2.

Substituting x by -2 in the equation:

So, the first point is (-2, 2/9).

Step 02: Choosing x = -1.

Substituting x by -1 in the equation:

So, the second point is (-1, 2/3).

Step 03: Choosing x = 0.

Substituting x by 0 in the equation:

So, the third point is (0, 2).

Step 04: Choosing x = 1.

Substituting x by 1 in the equation:

So, the fourth point is (1, 6).

Step 05: Write the points in a table.

x y (x, y)

-2 2/9 (-2, 2/9)

-1 2/3 (-1, 2/3)

0 2 (0, 2)

1 6 (1, 6)

Step 06: Plot the points and connect them.

The figure below shows the points and the graph.

Done! Your question is solved!

Tim should order approximately 6 pizza.

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on. One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction. Mathematicians use addition, subtraction, multiplication, and division as their four fundamental arithmetic operations. The division is one of these four operations that we employ most frequently in our daily work. It involves dividing a huge group into equally sized smaller units. Divide 25, for instance, by 5.

Given Data

Number of employees = 22

Slice of pizza one should get = 1/4

Dividing 22 by 1/4

\(\frac{22}{4}\)

5 and \(\frac{1}{2}\)

Tim should order approximately 6 pizza.

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The surface area of the complex solid is 530 square yards.

In this problem we need to determine the surface area of the complex solid, that is, the sum of the area of all faces of the solid. The area formulas required to find the surface area is:

A = w · h

Where:

The surface area of the complex solid is:

A = 2 · (11 yd) · (3 yd) + 2 · (4 yd)² + (12 yd) · (11 yd) + (12 yd) · (3 yd) + (12 yd) · (7 yd) + 2 · (4 yd) · (12 yd) + (12 yd) · (7 yd)

A = 66 yd² + 32 yd² + 132 yd² + 36 yd² + 84 yd² + 96 yd² + 84 yd²

A = 530 yd²

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Surface area is the sum of the area of all faces

The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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(

x

,

y

)

=

(

3

5

,

4

1

5

)

or

(

x

,

y

)

=

(

−

3

,

−

3

)

Explanation:

Given

[1]

XXX

y

−

2

x

=

3

[2]

XXX

x

2

+

y

2

=

18

Re-writing [1]

[3]

XXX

y

=

2

x

+

3

Substituting

(

2

x

+

3

)

from [3] for

y

in [2]

[4]

XXX

x

2

+

(

2

x

+

3

)

2

=

18

Simplifying

[5]

XXX

x

2

+

4

x

2

+

12

x

+

9

=

18

[6]

XXX

5

x

2

+

12

x

−

9

=

0

Factoring

[7]

XXX

(

5

x

−

3

)

(

x

+

3

)

=

0

⇒

x

=

3

5

or

x

=

−

3

case 1:

x

=

3

5

Substituting

3

5

for

x

in [3]

XXX

y

=

2

(

3

5

)

+

3

=

4

1

5

case 2:

x

=

−

3

Substituting

(

−

3

)

for

x

in [3]

XXX

y

=

2

(

−

3

)

+

3

=

−

3

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Answer:

The answer is C

Step-by-step explanation:

i also use khan

Answer:

table C

Step-by-step explanation:

each one is multiplied by .30

:)

Answer:

60%

Step-by-step explanation:

Increasing 2400 by 5% gives us 2520

we can increase the value by using the formula:

\(initial value+ percentage increase *initial value\) = increased percentage

in the aforementioned question we have

initial value = 2400

percentage increase = 5%

thus we can find out the increased percentage by:

2400 + 2400 X (5/100)

=2400 + 120

=2520

the value by which 2400 is increased is 120

to arrive at the increased value which is 2520

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