A local courier service estimates its monthly operating costs to be $1500 plus $0.85 per delivery. The service generates revenue of $6 for each delivery. Let x = the number of deliveries in a given month. The function C(x) = .85x + 1500 represents the operating cost. The function R(x) = 6x represents the revenue generated. Knowing that profit = revenue - cost, write a function, P(x), that represents the monthly profits for making x deliveries per month.​

Answer:

x ≈ 2.4

Step-by-step explanation:

Area of the triangle = 1/2 absin theta

Find the diagram of the triangle attached

a = 2x-3

b =x+2

theta = 45°

Substitute and find x

4√2 = 1/2(2x-3)(x+2)sin45

8/√2 = (2x-3)(x+2)(1/√2)

8 = (2x-3)(x+2)

Expand

8 = 2x²+4x-3x-6

2x²+x-6-8=0

2x²+x-14 = 0

x = -1±√1²-4(14)(2)/2(2)

x = -1±√1+112/4

x = -1±√113/4

x = -1+10.63/4

x = 9.63/4

x = 2.4

The value of x is 3.075.

Given that,

The area of the triangle is [tex]4\sqrt{2}[/tex] square meter,

and [tex]\theta[/tex] is 45 degrees.

The one side of the triangle is (2x-3) and the other side of the triangle is (x+2).

We have to determine

The value of x.

According to the question

The area of the triangle is determined by the following formula,

[tex]\rm Area \ of \ triangle = \dfrac{1}{2} sin\theta[/tex]

Substitute all the values in the formula

[tex]\rm Area \ of \ triangle = \dfrac{1}{2} absin\theta\\\\4\sqrt{2} = \dfrac{1}{2} (2x-3)(x+2) sin45\\\\2\times4\sqrt{2} = (2x^2+4x-3x-6)\dfrac{1}{\sqrt{2} }\\\\\sqrt{2} \times8\sqrt{2} = (2x^2+x-6)\\\\8\times2 = (2x^2+x-6)\\\\16 = 2x^2+x-6\\\\2x^2+x-6-16=0\\\\2x^2+x-22=0\\\\x = \dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\\\\x = \dfrac{-1\pm\sqrt{(-1)^2-4\times2\times(-22)} }{2\times2}\\\\x = \dfrac{-1\pm \sqrt{177} }{4}\\\\x = \dfrac{-`1\pm13.30 }{4}\\\\[/tex]

[tex]\rm x = \dfrac{-1+13.30}{4} \ and \ x = \dfrac{-1-13.30}{4} \\\\x = \dfrac{12.30}{4} \ and \ x= \dfrac{-14.30}{4}\\\\x = 3.075 \ and \ x = -3.575[/tex]

The value of x can not be negative so the value of x is 3.075.

Hence, The required value of x is 3.075.

For more details refer to the link given below.

https://brainly.com/question/15894203

Answer:

640 mm

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

x-1=3

2xy=24

3+24=27

27·2=54

Answer:

54

Step-by-step explanation:

Answer:

y=15x+35

Step-by-step explanation:

15 every month and 35 for instant charge

Answer:

[tex]P(x = 1) = 0.10[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccccc}x & {1} & {2} & {3} & {4} \ \\ P(x) & {0.10} & {0.30} & {0.40} & {0.20} \ \ \end{array}[/tex]

Required

Determine the probability of selling exactly 1 batch

This probability is represented with [tex]P(x = 1)[/tex]

From the table:

When x = 1; P(x) = 0.10

Hence:

[tex]P(x = 1) = 0.10[/tex]

In other words, the probability of selling exactly 1 is 0.10

Answer:

y = 4x + 3

Step-by-step explanation:

To do this, put the new line into the form y = mx + b where m is the slope and b is the y-intercept.

When two lines are parallel, they have the same slope. Since, the slope of the first line is 4, that means the slope of the second line is also 4.

So far, the equation is y = 4x + b.

Then, since you know (-2, -5) is a solution, x = -2, y = -5 is a solution so you can plug this into the equation.

This would be:

-5 = 4 * -2 + b

-5 = -8 + b

3 = b

This means the equation is y = 4x + 3.

Answer:

C

B

C

A

B

B

C

Hope this helps!

Answer:

Step-by-step explanation:

area of the kite,

A=(d1*d2)/2

A=(16*21)/2= 168 in^2

choice C

Answer:

One-Hundred Thousand Place value

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the external angle to be 45°.

If n = number of sides, the external angles are each 360°/n = 45°

n = 360/45 = 8

The shape is a regular octagon.

Answer:

the sun

Step-by-step explanation:

truss lebro

Answer:

1) a right triangle

Step-by-step explanation:

One of the caractheristics of a right triangle, the one in which the sum of the two sides squared is the hypotenuse squared(Pytagorean Theorem), is also the the altitudes of a triangle meet at one of the triangle’s vertices. So 1) is the answer to this question.

Answer:

28

Step-by-step explanation:

I guessed it right on hegarty maths and this was the answer

Answer:

24

Step-by-step explanation:

common sense

Answer:

a compound interest that has the lowest interest rate .  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

First pic) x = 10

Second pic) x = 25

-

Step-by-step explanation:

☆9x - 15 is congruent to 7x + 5, meaning they equal the same. This is because they are vertical to each other

☆The equation would be a 9x - 15 = 7x + 5.

☆Let's solve it!

[tex] \: \: \: \: \: \: \: \: \: 9x - 15 = 7x + 5 \\ \frac{ - 7x \: \: \: \: \: \: \: = - 7x}{2x - 15 = 5} \\ \frac{ \: \: \: \: \: \: \: \: \: \: + 15 = + 15}{ \frac{2x}{2} = \frac{20}{2} } \\ \\ x = 10[/tex]

-------

☆2x + 15 and x are complementary angles, meaning they equal 90ndegrees together. This is because they lie on a right angle.

☆The equation would be: 2x + 15 + x = 90.

☆Let's solve it!

[tex]2x + 15 + x = 90 \\ 3x + 15 = 90 \\ \frac{ \: \: \: \: \: \: \: \: \: - 15 = - 15}{ \frac{3x}{3} = \frac{75}{3} } \\ \\ x = 25[/tex]

Answer:

[tex]Expression = x + 18x\%[/tex]

[tex]Expression = 1.18x[/tex]

Step-by-step explanation:

Given

Represent their goal with x

Additional = 18%

Required

Write two expressions to describe the total percentage

The expression is derived using:

[tex]Expression = Goal + Additional[/tex]

This gives:

[tex]Expression = x + 18\% * x[/tex]

[tex]Expression = x + 18x\%[/tex]

Solving further (Express percentage as decimal)

[tex]Expression = x + 0.18x[/tex]

[tex]Expression = 1.18x[/tex]

Answer: help a homegirl out

Step-by-step explanation: let me get these points please

Answer: miata

Step-by-step explanation:

Answer:

Step-by-step explanation:

Interest in 1 year:

Interest in 5 years:

The difference between 1-year interest and 5-year interest:

Step-by-step explanation:

You mean 3⁵ = ? stay click

3⁵ = 3×3×3×3×3

= 243

Answer:

The median is 6

Step-by-step explanation:

First put the numbers in order: 3,4,4,4,5,7,7,8,9,12

Here, the 5th & 6th terms are 5 &7

So, median = 5+7/2

=12/2

=6

Answer:

6

Step-by-step explanation:

For funding out the median firstly we need to arrange the data in ascending or descending order . Here on arranging the given data in ascending order we have ,

The median is the middle most observation , in case of odd nos . And the mean of two middlemost observations in case of even nos . Here the number of data is even , and the two middlemost observations are 5 and 7 , so ,

=> Median = x₁ + x₂ / 2

=> Median = 5 + 7/2

=> Median = 12/2

=> Median = 6

Answer:

y=5/2x+7

Step-by-step explanation:

y=mx+b

12=m(2)+7

5=2m

m=5/2

Answer:

x = √146 = 12.1 (nearest tenth)

Step-by-step explanation:

Apply pythagorean theorem, c² = a² + b², where,

c = x

a = √82 km

b = 8 km

Plug in the values

x² = (√82)² + 8²

x² = 82 + 64

x² = 146

x = √146 = 12.1 (nearest tenth)

Answer:

D. Move the decimal point in 132.9 three places to the left.

Step-by-step explanation:

Multiplication of a decimal by the nth power of 10:

We move the decimal point n places to the right.

Division of a decimal by the nth power of 10:

We move the decimal point n places to the left.

In this question:

There is a division by 1000, which is the 3rd power of 10, because [tex]10^3 = 1000[/tex]

So, we should move the decimal point three places to the left, and the correct answer is given by option D.

Answer:

D. 3:00 p.m.

Step-by-step explanation:

d = Distance = 320 miles

s = Speed = [tex]60\ \text{mph}=\dfrac{60}{3600}=\dfrac{1}{60}\ \text{miles/s}[/tex]

Time taken is given by

[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{320}{\dfrac{1}{60}}\\\Rightarrow t=19200\ \text{s}[/tex]

40 minutes break is [tex]40\times 60=2400\ \text{s}[/tex]

Total time taken is [tex]19200+2400=21600\ \text{s}=\dfrac{21600}{60\times 60}=6\ \text{hours}[/tex].

So, the entire trip took 6 hours. 6 hours after 9 a.m. is 3 p.m.

Student take 7hours30 mins to drive.