(2x + 3y)^2– (2x – 3y)^2

Hi,

(2x + 3y)² - (2x - 3y)²

(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b²= [(2x)² + 2x*3y + (3y)²] - [(2x)² - 2x*3y + (3y)²]

= (4x² + 6xy + 9y²) - (4x² - 6xy + 9y²)

= 4x² + 6xy + 9y² - 4x² + 6xy - 9y²

**=**** ****1****2****x****y**

I hope it helped ✅(◠‿◕)

x+3<9 answer pls 2x+5<12

**Answer:**

first one: x<9 second: x<3.5 or 7/2

**Step-by-step explanation:**

first: substract 3 from both sides

second: substract 5 and then divide by 2

7(2e-1)-3=6+6e pls help and do step by step

**Answer:**

e = 2

**Step-by-step explanation:**

7(2e - 1) - 3 = 6 + 6e

14e - 7 - 3 = 6 + 6e

14e - 10 = 6 + 6e

14e - 6e - 10 = 6

8e - 10 = 6

8e = 6 + 10

8e = 16

8e/8 = 16/8

e = 2

Recheck:

7(2e - 1) - 3 = 6 + 6e

7(2(2) - 1) - 3 = 6 + 6(2)

7(4 - 1) - 3 = 6 + 12

7(3) - 3 = 18

21 - 3 = 18

18 = 18 ✅

1. A FoodPanda rider believes that his tips from various customers has a slightly right skewness with a mean of RM10 and a standard deviation of RM2.50. a. Calculate the mean and standard deviation of the sampling distribution of this tips for a sample of 25 customers. Describe the shape of its sampling distribution. [4 marks]

Using the **Central Limit Theorem**, it is found that:

The sampling distribution is slightly right skewed, with mean of RM 10 and standard deviation of RM 0.5.

The* Central Limit Theorem* **establishes **that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, the **mean **is of **10 **and the **standard deviation** is of **2.50**, hence [tex]\mu = 10, \sigma = 2.5[/tex]

**Sample of 25,** hence [tex]n = 25, s = \frac{2.5}{\sqrt{25}} = 0.5[/tex]

Since the underlying distribution is skewed and the sample size is less than 30, the shape of the sampling distribution is **slightly right skewed.**

The sampling distribution is slightly right skewed, with mean of RM 10 and standard deviation of RM 0.5.

A similar problem is given at https://brainly.com/question/25817309

A student has a savings account with $475 in it.

She deposits $125 of her paycheck into the account

every week. Her goal is to save $7,000 for college.

How long will it be before she has $1350?

**Answer: 7 weeks**

**Step-by-step explanation:**

Let x represent number of weeks

Let y represent the total amount

Amount = Paycheck deposited * number of weeks + Initial amount

y = 125x + 475

Number of weeks until she has $1350

1350 = 125x + 475

125x+475-475=1350-475

125x=875

x=7

Therefore, the student will have $1350 in her bank account after 7 weeks

Answer 7 Weeks

I Hope This Helps

I Hope This Helps

a forrest covers an area of 2400 km^2. if each year the area decreases by 8.5%, what will the area be after 14 years? round answer to nearest square kilometer. (please explain how you get the answer so i can do future questions myself! thank you :) )

**Answer:**

1581.62810745 square km

**Step-by-step explanation:**

P = Initial Area = 2500 square km.

r = rate of decreasing = 8.75%

n = number of years = 5 years

A = 2500 ( 1 - 8.75/100)^5

A = 2500 {(100–8.75)/100}^5

A = 2500 (91.25/100)^5

A = 2500 (0.9125)^5

A = 2500 * 0.63265124298

A = 1581.62810745

the line passes through the point (6,1) and has a slope of -1/2 what is the point slope form and slope intercept form

This is the answer ur looking for

Hope I helped!

Hope I helped!

**Hi there! :)**

We are given the slope of the line and a point that it passes through.

Using this information, we can write the equation in point-slope form:

y-y1=m(-x1)

y-1=-1/2(x-6)

y-1=-1/2x+3

Now, move -1 to the right, using the opposite operation:

y=-1/2x+3+1

y=-1/2x+4

And that's our equation. Hope it helps.

*Graceful Dreamer here to help

Good luck.

The quotient of a number and negative eight is five-eighths. Find the number.

**Answer:**

-64/5

**Step-by-step explanation:**

Basically, the word "quotient" means the answer to a division problem. Therefore, its a division problem, so you have to work backwards with multiplication. -8 times a number is 5/8, so the other number is going to be negative.

The number is -64/5

**Answer:**

**n = -5**

**Step-by-step explanation:**

Form this quotient, representing the number by n: n / (-8) = 5/8.

Solve this equation for n by multiplying both sides by 8: -n = 5. Then **n = -5**

help me plzzz i really need help its also in Spanish plzzzzzzzzzzzz help meeeee(ToT)(ToT)(ToT)

**Answer:**

1. veinte (10 * 2 = 20)

2. tres ( 12 ÷ 4 = 3)

3. veinte (18 + 2= 20)

4. diez ( 15 - 5 = 10)

5. once (14 - 3 = 11)

Sam has 60 toy cars. 20% of the cars are red.

How many cars are red?

A. 12

B. 20

C. 48

D. 40

**Answer:**

A

**Step-by-step explanation:**

20% of 60 is 12

Hope that helps

Answer (a)

60 divided by 100 =0.6

0.6 x 20= 12

12

60 divided by 100 =0.6

0.6 x 20= 12

12

Pls help I’ll brainlest ASAP

7/5x is the slope

Rise/Run

How much each point rises should be divided by how much is slides left or right.

So your answer is 7/5x

Rise/Run

How much each point rises should be divided by how much is slides left or right.

So your answer is 7/5x

A dolphin dives down into the ocean and resurfaces along a path that is modeled by x^2- 8x + 4y = 0, where the distances are in feet. How many feet is the dolphin from its starting point along the

water's surface?

8 feet

6 feet

4 feet

O feet

please guys i need help

**Answer:**

6ft

**Step-by-step explanation:**

The Dolphin is 8 feet **apart **from **starting point **along the water surface.

**Equations **are mathematical statements with **two** **algebraic **expressions flanking the **equals** (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

**Coefficients**, **variables**, **operators**, constants, terms, expressions, and the equal to sign are some of the **components **of an **equation**. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

**Equation**: x²- 8x + 4y = 0

Now, **solving **for variable 'y' we get

y= (8x - x²) /4

y= 2x - x²/4

So, the Dolphin is 8 **feet apart **from starting point along the water surface.

Learn more about **Equation **here:

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Express in the form

1

:

n

.

Give

n

as a decimal.

14

:

7

**Answer:**

n is 0.5

**Step-by-step explanation:**

**Answer:**

1:0.5

**Step-by-step explanation:**

what is the rate of change for these data?

**Answer:**

-2 gallons per minute

**Step-by-step explanation:**

As we can clearly see, the water is continuously decreasing every 15 minutes by 30 gallons.

So, the rate of change is -30 gallons per 15 minutes

However, we can simplify this ratio by dividing both sides by 15, so we get

-2 gallons per minute

House of Mohammed sells packaged lunches, where their finance department has established a

weekly relationship between its Revenue R, in dollars and the number of lunches x, as R=x(82−x)

(a) Write the revenue R, in the form R=ax2+bx+c (b) What is the revenue when 35 lunches are sold? (c) Explain why the graph of R has a maximum.

(d) Write R in the form a(x−h)2+k

(e) How many lunches must be sold for them to achieve their maximum revenue?

(f) State the company's maximum revenue.

(2 marks) (2 marks) (2 marks)

(5 marks)

(2 marks) (2 marks)

(g) Complete the following table of values and graph the Revenue equation using the ordered pairs

(x , R). Label the coordinates of the vertex.

x

10

20

30

40

50

60

70

80

90

R

( 10 marks)

The **revenue function **is a quadratic equation and the **graph **of the function

has the shape of a parabola that is concave downwards.

The correct responses are;

(a) R = -x² + 82·x(b) $1,645(c) The graph of**Reasons**:

The given function that gives the weekly revenue is; R =** x·(82 - x)**

Where;

R = The **revenue **in dollars

x = The **number **of **lunches**

(a) The revenue can be written in the form R = **a·x² + b·x + c** by expansion of the given function as follows;

R = x·(82 - x) = **82·x - x²**

Which gives;

R = -x² + 82·x*Where, the constant term, c = 0*

(b) When **35 launches** are sold, we have;

x =** 35**

Which by plugging in the value of **x** = 35, gives;

R = 35 × (82 - 35) =** 1,645**

The revenue when 35 lunches are sold,

(c) The given function for *R* is R = x·(82 - x) =** -x² + 82·x**

Given that the **leading coefficient** is **negative**, the shape of graph of the

function *R* is **concave **downward, and therefore, the **graph **has only a

**maximum **point.

(d) The form **a·(x - h)² + k **is the** vertex form** of **quadratic equation**, where;

**(h, k)** = The vertex of the equation

**a** = The leading coefficient

The function, R = x·(82 - x), can be expressed in the form a·(x - h)² + k, as follows;

R = x·(82 - x) = -x² + 82·x

At the vertex, of the equation; f(x) = a·x² + b·x + c, we have;

[tex]\displaystyle x = \mathbf{-\frac{b}{2 \cdot a}}[/tex]

Therefore, for the revenue function, the x-value of the vertex, is; [tex]\displaystyle x = -\frac{82}{2 \times (-1)} = \mathbf{41}[/tex]

The revenue at the vertex is; [tex]R_{max}[/tex] = 41×(82 - 41) =** 1,681**

Which gives;

(h, k) = **(41, 1,681)**

a =** -1** (The coefficient of x² in -x² + 82·x)

(e) The **number of lunches **that must be sold to achieve the **maximum revenue **is given by the x-value at the vertex, which is; x = 41

Therefore;

The number of lunches that must be sold for the maximum revenue to be achieved is 41 lunches(f) The **maximum revenue** is given by the revenue at the **vertex **point where x = 41, which is; R = $1,681

Learn more about the **quadratic function **here:

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If y= cos x, what x-value corresponds to a y-value of 1/2 between pi and 2 pi

**Answer:**

pi/3, 5pi/3

**Step-by-step explanation:**

We can see that when cosine is at 1/2, the angle measures are pi/3 degrees and 5pi/3 degrees. You can use a unit circle to find this. You can also find arccos(1/2), but that will only give you the value pi/3, not 5pi/3.

We can plug these in to find that they are indeed equal to 1/2.

The** x-value** that corresponds to a y-value of 1/2 between π and 2π is π/3.

Here, we have,

To find the x-value that corresponds to a y-value of 1/2 between π and 2π for the equation y = cos(x), we can use the inverse **cosine function **(also known as arccosine or cos⁻¹).

The inverse** cosine function** will give us the angle whose cosine is a specific value.

In this case, we want to find the angle whose cosine is 1/2.

Using the inverse cosine function, we can write the** equation** as:

x = arccos(1/2)

To solve this equation, we need to evaluate the **inverse cosine** of 1/2. In general, the inverse cosine of a value returns an angle between 0 and π (180 degrees). In this case, we are interested in finding an** angle** between π and 2π.

The value of arccos(1/2) is π/3.

Therefore, the x-value that corresponds to a y-value of 1/2 between π and 2π is π/3.

It's important to mention that the cosine function is** periodic, **so there are multiple x-values that can correspond to a y-value of 1/2. In this case, we have chosen the x-value that lies between π and 2π.

To learn more **cos-function** click:

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Find the value of x

**Answer:**

6.93

**Step-by-step explanation:**

hope this helps

Rate of change for y=5x+30

**Answer:**

5

**Step-by-step explanation:**

hope this helps! :D

have a miraculous day!! <3

Find the volume in cubic feet of a rectangular moving van with length 14 feet, width 7 feet, and height 7 feet

**Answer:**

length (l) = 14 feet

breadth (b) = 7 feet

height (h) = 7 feet

so, volume of the

rectangular moving

van = l*b*h

=14feet * 7feet *7feet

= 686 cubic feet

Solve the following inequality 17 less than or equal to negative 3X +2 less than or equal to 26.. what is the answer

**Answer:**

-5 less than or equal to x less than or equal to -8

**Step-by-step explanation:**

You have to isolate x.

Start with removing +2.

Take 2 away from both sides

15 less than or equal to -3x less than or equal to 24

Then, the only thing you have to isolate after that is -3, you have to remove it from x.

Since -3x is multiplying, you have to divide by -3 on the other sides.

15 divided by -3 is -5

24 divided by -3 is -8

Therefore,

The answer is...

-5 less than or equal to x less than or equal to -8

If the probability that a randomly chosen college student uses a ride sharing app is 0.27, then what is the probability that a randomly chosen college student does not use a ride sharing app?

Give your answer as a decimal.

Answer:

0.73

Took the quiz

The **probability **that a randomly chosen **college student** does not use a **ride sharing app** is **0.73.**

**Probability **is a stastistical measure that is used to determine who likely it is that event would happen. The **probability** the event occurs is 1 and the probability that the event does not occur is 0.

The **probability **that a randomly chosen **college student** does not use a ride sharing app = 1 - 0.27 = **0.73**

To learn more about **probability,** please check: https://brainly.com/question/13234031

Which expression is equivalent to 6(7x - 9)?

**Answer: **

42x - 54 I think

**Step-by-step explanation:**

Just simplify it

Find the values of the variables.

**Answer:**

x = 50

y = 65

**Step-by-step explanation:**

The marked sides show you that the triangle is isosceles. That means the base angles, y° and 65°, are congruent.

** y = 65**

__

The sum of the angles in a triangle is 180°.

65° +65° +x° = 180°

x° = 180° -130° = 50° . . . . . . subtract 130°

** x = 50**

Which number is a favor of 12 but not a multiple of 2

**Answer:**

3

**Step-by-step explanation:**

A city park is in the shape of a triangle where

the sides have lengths 170 m, 162 m, and

177 m. If a fence was built around the

perimeter of the park, how long would the

fence need to be?

**Answer:**

solution here

length

c=170

a=162

b=177

perimeter=?

now,

perimeter of triangle = a+b+c

=170+162+177

=511

perimeter=511 cm

perimeter = length of fence

therefore,the fence should be 511 cm long.

The **length** of the fence needed would be **509 meters**.

Given is that a city park is in the shape of a **triangle** where the sides have lengths 170 m, 162 m, and 177 m.

The **length** of the fence needed would be the **perimeter** of the triangle. We can write the perimeter of the triangle as -

P = sum of the side lengths

P = 170 + 162 + 177

P = 509 meters

Therefore, the **length** of the fence needed would be **509 meters**.

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five men can repair a stretch of road in 8 hrs. how many men would be needed to repair the same road in 3 1/3 hrs

also tell if its direct or inverse proportion

i just wanna check my answer, whether its correct or not

Answer: 12 men would be needed to repair the same road in 3 1/3 hrs. Inverse proportion because usually in work,food and time its inversly proportional.

8 hours --> 5 men

1 hour --> 5*8 = 40 men

3 1/3 hours --> 40/ (3 1/3) men

--> 12 men

state whether each of the following equations represent growth or decay.

**Answer:**

answer below

**Step-by-step explanation:**

f(x) = a* bˣ

if a>0 and b>1 : growth

if a>0 and 0<b<1 : decay

5) 7) 9) : growth

6) 8) 10) : decay

When analyzing whether an **equation** represents growth or decay, we examine the relationship between the variables involved. If an equation shows a positive relationship, it represents growth, while a negative relationship indicates decay.

When determining whether an equation represents growth or decay, we need to examine the **relationship** between the variables involved. 1. If the equation represents a positive relationship, where as one variable increases, the other variable also increases, then it represents growth. 2. On the other hand, if the equation represents a negative relationship, where as one variable increases, the other variable decreases, then it represents decay.

Let's look at some examples to illustrate this: Example 1: y = 2x In this equation, as x increases, y also increases. Therefore, it represents growth. Example 2: y = -3x In this equation, as x increases, y decreases. Therefore, it represents **decay**. Example 3: y = -0.5x + 3 Here, as x increases, y decreases. So, this equation represents decay. Example 4: y = 4.5x + 2 As x increases, y also increases. Hence, this equation represents growth. In summary, when analyzing whether an equation represents growth or decay, we examine the relationship between the variables involved. If an equation shows a positive relationship, it represents growth, while a negative relationship indicates decay.

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The candy store is selling Twizzlers. They have a sale of four Twizzlers for $6.00. Which equation below represents this proportional relationship?

A. y=1.5x C. y= x 2/3 B. x= 4y D. x= 6y

Answer:A. y=1.5x

Step-by-step explanation:

x represents the number of twizzlers

1.5 represents the the price that you have to pay for each Twizzlers

And y represents the total cost

Find the perimeter of the rectangle whose: length = 1m, breadth = 75cm

Pls all answer fast PLS

Length of the rectangle = 1 mBreadth of the rectangle = 75 cm = 0.75 mWe know, perimeter of a rectangle = 2(length + breadth)Therefore, perimeter of the rectangle= 2(1 + 0.75) m = 2(1.75) m = 3.5 m

Answer:

*The **perimeter** **of **the **rectangle** **is **3**.**5** **m **or **3**5**0** **c**m.*

Hope you could get an idea from here.

Doubt clarification - use comment section.

Let f(x)=5(3)x−4. Evaluate f(6).

you just plug 6 in for x so

5(3)(6)-4

15(6)-4

90-4

86

hope it helps

5(3)(6)-4

15(6)-4

90-4

86

hope it helps

Given that:

f(x) = 5(3)x-4

f(6) = 5(3)(6) - 4 ⇛15(6) - 4 ⇛90-4 ⇛86**A****n****s****.**

The Fresh and Green Company has a savings plan for employees. If an employee

makes an initial deposit of $1000, the company pays 8% interest compounded

quarterly. If an employee withdraws the money after five years, how much is in

the account?

**Answer:**

$1400

**Step-by-step explanation:**

The Fresh and Green Company has a savings plan for employees. If an employee makes an initial **deposit of $1000**, the company pays **8% interest** compounded quarterly. If an employee **withdraws** the money **after five years**, **how much is in the account**?

First you need to make 8% into a **decimal**.

To do that you need to move the **decimal point** to spaces to the **left**.

8. ----- 0.8 ----- 0.08

The decimal is 0.08.

Now multiply $1000 by 0.08.

Which is $80.

Now do $80 times 5 years.

which is $**400 interest**.

Now add $400 to $1000.

Which is $1400.

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