Two domestic courier services charge as per the functions y = 4x + 1 and y = 3x + 2, where x represents the weight of the parcel in pounds and y represents the total cost of the parcel. For what weight is the total cost the same in both services?

Answers

Answer 1

Answer:

1 pound

Step-by-step explanation:

Given the cost function of two domestic courier services.

y=4x+1y=3x+2

We want to determine the weight (x) at which the costs (y) will be the same.

Since y=4x+1 and y=3x+2, then:

4x+1=3x+2

4x-3x=2-1

x=1 pound

When the weight of the parcel is 1 pound, the total cost of the parcel will be the same for the two domestic courier.


Related Questions

Andros has an oil fired heating system. In a 30-day period he used a full tank of oil at a constant rate per day. At a different time of the year the amount of oil Andros uses per day is 1 3 of the rate used in the 30-day period. (a) How many days should a full tank of oil?

Answers

Step-by-step explanation:

30 days period multiply by 7 days

=210 therefore our answer is =210

What is the value of X in the given right triangle? WILL GIVE BRAINLIEST!

Answers

Answer:

Please mark me brainliest and I hope this helped!

x = 45

Step-by-step explanation:

In this case, we can use the Pythagorean Theorem to figure out the other side of the triangle.

c squared - a squared = b squared

10 squared - 7 squared = b squared

100 - 49 = b squared

51 = b squared

7.14 = b

Now that we know the other side is about 7, we can assume that x is equal to the angle between 10 and 7. So x equals 45.

2x + 3y = 13
4x - y = -2

Answers

Answer:

x=1/2. y=4

Step-by-step explanation:

4(2x+3y=13)=8x+12y=52

2(4x-y=-2)=8x-2y=-4

subtract equation one from equation two to get

14y=56 then u will divide bothe sides by 14. for x u substitute y in equation one

Answer:

x = 1/2 y = 4

Step-by-step explanation:

Equation 1

2x + 3y = 13

Equation 2

4x - y = -2

Multiply equation 2 by 3

12x - 3y = -6

Add equation 1 to 3

14x = 7

x = 7/14

x = 1/2

Substitute x into equation 1

2(1/2) + 3y = 13

3y = 13 -1

3y = 12

y= 12/3

y = 4

x =1/2 y = 4

Hope this helps.

expand the following 5( 2x -4 )​

Answers

Answer:

10x-20

Step-by-step explanation:

5(2x-4)

5x2=10

5x4=20

What is the domain of g(x)?​

Answers

Answer:

-2 ≤x≤5

Step-by-step explanation:

The domain is the inputs

The lowest value of x is -2 and every value of x is valid up to 5

-2 ≤x≤5

choose all functions below that have a vertex of (4.5,-8)​

Answers

Answer: Answer: A

Explanation:

Just plug in numbers since you know the unknown values,

x + r = 4 + 5

4 + 5 = 9

Step-by-step explanation:

pls hurry; 10 pts The first equation in the following system gives a company's income, in dollars, for selling x baseball caps. The second equation gives the cost of making x baseball caps. y = 8x y = -0.01 x2 + 4x + 3,200 The solution of the system is (400, 3,200). How would you interpret this solution?

Answers

Answer: The cost to make 400 baseball caps is $3,200

Step-by-step explanation:

The answer they gave you is a set of coords, x and y coords to be exact. That means that x value is inputed into the equation and that y value is the asnwer.

You put in 400, you get 3200.

They also gave us that x equals the number of baseball caps. Then y equals the cost of making those baseball caps

Answer:

The cost to produce 400 caps is the same as the income made from selling 400 caps.

The company will break even when it sells 400 caps; it will not make a profit.

Step-by-step explanation:

EDGE 2021

Anybody know this ? Please help :(

Answers

Answer:

D

Step-by-step explanation:

5.50. 5.50+0.25= 5.75, 5.75+0.25= 6.00, 6.00+0.25= 6.25, 6.25+0.25= 6.50

Option D is the answer:

5.50, 5.75, 6.00, 6.25, 6.50...

Which symbol would make the statement TRUE?
-3/4
-0.75
A. <
B. >
C. =
D. none of the above

Answers

Answer: C

Step-by-step explanation: -3/4 is equal to -.75 ,

They both equal to -0.75

problems involving ratio and propotion in real life. tete and tuke share P8900 in the ratio 2:3. how much does each get respective?​

Answers

Answer:

Step-by-step explanation:

[tex]Tete : Tuke\\2 : 3\\Total-Amount = P8900\\2+3 = 5\\Tete = \frac{2}{5} * 8900\\Tete = P3560\\\\Tuke = \frac{3}{5} *8900\\Tuke = P5340[/tex]

Please answer this ASAP ❤️

Answers

Answer:

4

Step-by-step explanation:

just change the x into -6

-(-6)-2 = 6 - 2 = 4

Answer:

f(x)=-x-2

f(-6)=-(-6)-2

f(-6)=4

Step-by-step explanation:

What is the axis of symmetry of the quadratic function y = 2(x + 3)2 + 5?

x = –5

x = –3

x = 5

x = 3

Answers

The answer is the second one X=-3

Answer:

-3

Step-by-step explanation:

Find the vertex of the function given below.
y = 2x2 + 8x + 1

Answers

Answer:

Vertex: (-2, -7)

Step-by-step explanation:

Easiest and fastest way to do this is to graph the equation and trace to the vertex. When you do so you should be able to calculate the coordinates of the vertex.

Answer: the answer is (-2,-7)

Step-by-step explanation: APPEX

Important!!!


That is the distance between (-5, 4) and (-1, 4)?
-5 units
-4 units
4 units
5 units

Answers

Answer:

4 units

Step-by-step explanation:

Since the y value is the same, we only have to look at the x value

-1 - -5

-1 +5

4

The distance is 4 units

Answer:

4 units

Step-by-step explanation:

if you graph these 2 points, they'll be on the same line of the graph separated by 4 units

Evaluate the expression: log base3 81

Answers

Answer:

4

Step-by-step explanation:

google it

Answer:

the answer is four

Step-by-step explanation:

calculator

Which graph shows the line y = 2x + 3?

Answers

Answer: Graph D

Step-by-step explanation:

The slope is 2

x goes after the slope in graph functions

The line goes through 3 on the y-axis so that’s where + 3 comes in.

2x + 3

Circumference of circles

Answers

Answer:

The circumference formula is 2πr and we know r = 1 so the answer is 2π.

Answer: 6.28 feet

Step-by-step explanation:

The formula for circumference is C= πd Diameter is radius times two. So use a value of π which is usually 3.14 or 3.1416 for practical purposes. Multiply by the diameter. 3.14×2=6.28.

Which of the following equations is the translation 2 units up of the graph of y = |x|?

A. y = |x| - 2
B. y = |x| + 2
C. y = |x + 2|
D. y= |x - 2|

Answers

Answer:

its y = |x| + 2

Step-by-step explanation:

Convert 14 ft to yd
a.4 2/3 b. 1 1/7 c. 42 d. 168

Answers

Answer:

4 2/3

Step-by-step explanation:

14 ÷ 3 = 4 2/3

3 × 4 = 12

14- 12= 2

Your answer is going to be A :)

what is the value of k?

Answers

Answer: k = 10

Step-by-step explanation:

mLXYZ = 180 - 115 = 65° (angles in a straight line)

65 + (4k+5) + (6k+10) = 180

65+4k + 5 + 6k + 10 = 180

10k = 180 - 80

k = 100 / 10 = 10

The value of k=10 because of u look at the line u can see that it’s vertically connected to 115 degrees

HELP ASAP What is the explicit formula for this sequence 5,2,-1,-4

Answers

Answer:

For an nth term U(n) = a + (n - 1)d

n = number of terms

a = first term

d = common difference

a = 5

d = 2 - 5 = - 3

U(n) = 5 + (n -1)-3

= 5 - 3n + 3

= 8 - 3n

The formula for the sequence is 8 - 3n

Hope this helps

An account pays 7%per year simple interest. In 1 year, the amount in the account is 950. How much is in the account in year 6

Answers

Answer:

First year's interest is already given.

There are 5 more payments of interest

= 5 * 0.07 * 950 = 332.5

so amount in the account after 6 years = 950 + 332.5 = 1282.5

Answer:

The answer is 1282.50

Step-by-step explanation:

can i have help thanks

Answers

Answer:

∠ BOC = 42°

Step-by-step explanation:

Since OA and OC are perpendicular , that is at 90° to each other, then

∠ AOB + ∠ BOC = 90 , substitute values

5x + 8 + 6x - 6 = 90

11x + 2 = 90 ( subtract 2 from both sides )

11x = 88 ( divide both sides by 11 )

x = 8

Thus

∠ BOC = 6x - 6 = 6(8) - 6 = 48 - 6 = 42°

th
Write an explicit formula for An, the nth
term of the sequence 15, 23, 31, ....

Answers

Answer:

a₁ = 15 and common difference = 8 so the formula is:

aₙ = 15 + (n - 1) * 8

= 8n + 7

m 1 = a) 40 b) 130 c) 50

Answers

Answer:

A) 40

Step-by-step explanation:

The angle adjacent 40 is complementary to it, meaning that it must have a measure of 90-40=50 degrees. This angle is a vertical angle with the one inside the triangle, meaning that it also has an angle of 50 degrees. Now that you know two of the angles in the triangle and you know that all of the interior angles of a triangle add up to 180 degrees, you can find angle 1:

[tex]\angle 1=180-90-50=40^{\circ}[/tex]

Hope this helps!

Answer:

<1 = 40

Step-by-step explanation:

Corresponding angles are equal and <1 and 40 are corresponding angles on parallel lines

solve the equation (X-1) (2x+5)=0​

Answers

Answer:

x = -5/2

x = 1

Step-by-step explanation:

(x-1) (2x+5) = 0​

Divide both sides by (x-1)

2x+5 = 0​

Subtract 5 on both sides.

2x = -5

Divide 2 into both sides.

x = -5/2

(x-1) (2x+5) = 0​

Divide both sides by (2x+5).

x - 1 = 0

Add 1 to both sides.

x = 1

What is the area of the composite figure? -70 cm2 -100 cm2 -105 cm2 -130 cm2

Answers

Make two shapes out of it.

The bottom is a rectangle 14 x 5 = 70 square cm

The top is a triangle 1/2 x 12 x 5 = 30 square cm

Total area = 70 + 30 = 100 square cm

Answer:

100 cm²

Step-by-step explanation:

The composite shape can be cut into two shapes. One triangle and one rectangle. The sum of their areas is the area of the whole composite shape.

The area of the triangle:

b × h × 1/2

(14 - 2) × 5 × 1/2

60 × 1/2

= 30 cm²

The area of the rectangle:

l × w

14 × 5

= 70 cm²

Add the areas of the two shapes.

30 cm² + 70 cm²

= 100 cm²

The area of the composite shape is 100 cm².

Which of the statements is true please show work

Answers

Answer:

f(4)>g(4)

Step-by-step explanation:

f(x)=3x^5 ,  f(4)= 3072

g(x)=11*4^x when x=4 then g(4)=2816

The diagonal of a rectangle is 58" the site is 40" and the base is 42" what is the ratio of the diagonal to the base of the rectangle​

Answers

Answer:

29:21

Step-by-step explanation:

The ratio of the diagonal to the base of the rectangle is 58:42

The ratio can be simplified further.

The simplified ratio is 29:21.

Evaluate xy - y if x=6 and y=-5​

Answers

Answer:

-25

Step-by-step explanation:

xy - y

Replace 'x' with 6, and 'y' with -5:

[tex]6(-5)-(-5)\\\\-30+5\\\\\boxed{-25}[/tex]

Other Questions
Cassie's older sister is really good at gymnastics, so Cassie knows she will never be as good. Whenever she goes to gymnastics practice, Cassie tries to hide in the back. Everyone else has already moved on to new tricks, but Cassie plays it safe by practicing the tricks she already knows how to do. Cassie is using a Fixed Mindset about gymnastics. Which one of these beliefs shows her Fixed Mindset? Sarah has been eating and sleeping poorly. She was just diagnosed with pneumonia. Tests showed the illness was caused by Streptococcus pneumoniae. In the chain of transmission, Sarah is the , and Streptococcus pneumonia is the An ideal, or Carnot, heat pump is used to heat a house to a temperature of 294 K (21 oC). How much work must the pump do to deliver 3000 J of heat into the house (a) on a day when the outdoor temperature is 273 K (0 oC) and (b) on another day when the outdoor temperature is 252 K (-21 oC) Find the slope of a line passing through the points (5,-5) and (7,3) Carol Byrd gets a student rate of $30.00 a month. There is a $200 deductible; but no coinsurance payment. Sherecently received treatment for a covered condition. The bill was $2,050.00. Carol's insurance company providedpayment of 80% of the bill less the deductible.What was the company's payment?What was Carol's total cost (ignoring the monthly premium)? 8. "Le menu" is a list of dishes may be order or to be served at arestaurant menu in English Both are correct. Spider Hombre 1. Write a program that asks the user to enter a string. The program should then print the following: (a) The total number of characters in the string (b) The string repeated 10 times (c) The first character of the string (remember that string indices start at 0) (d) The first three characters of the string (e) The last three characters of the string (f) The string backwards (g) The seventh character of the string if the string is long enough and a message otherwise (h) The string with its first and last characters removed (i) The string in all caps (j) The string with every a replaced with an e 45-year-old was admitted with sarcoidosis of both lungs. An extracorporeal perfusion of donor lungs, from an unrelated donor, and successful bilateral lung transplantation were completed without any complications. What is the second code you should assign Rectangle is 5ft in length and 3 ft in height. What is the area of the rectangle A system of linear equations is shown below, where A and B are real numbers. 3x + 4y = A Bx 6y = 15 What values could A and B be for this system to have no solutions? A = 6, B = 4.5 A = 10, B = 4.5 A = 6, B = 3 A = 10, B = 3 HELP PLEASE!!!! Which epic connects the origins of Rome to ancient Greek legend? Homers Odyssey Livys The History of Rome Virgils Aeneid Ovids Metamorphoses What must be done to publish a multimedia presentation that contains copyrighted material? Assume permission is granted by the copyright owner. Contact the copyright owner to tell him or her that their work is being used. Contact the copyright owner with a reasonable financial offer. Contact the copyright owner to ask permission. could you help me with this problem s the last book a person in City Upper A read a discrete random variable, continuous random variable, or not a random variable? A. It is a continuous random variable. B. It is a discrete random variable. () = 2-5f(1) == ?all positive realnumbers and>all real number greaterthan or equal to 5all real numbersall real numbersexcept 8 A carbon atom can bond with other atoms in a variety of ways. Which set of bonds would a typical carbon atom form in a compound? three double bonds and a single bond two double bonds and two single bonds a triple bond and a single bond a double bond and a triple bond. Cities A & B are 5 inches apart on a map. Cities C&D are 4 inches apart. If C & D are 900 miles apart, how many miles apart are cities A and B? Solve this system of linear equations. Separatethe x- and y-values with a comma.5x + 2y = 13-9x + 7y = 19 Make a lexical ambiguity sentence with the word set and also show the real meaning of the sentence. Mars Corp. is choosing between two different capital investment proposals. Machine A has a useful life of four years, and machine B has a useful life of six years. Each proposal requires an initial investment of $200,000, and the company desires a rate of return of 10 percent. Although machine B has a useful life of six years, it could be sold at the end of four years for $35,000. Year Present Value of $1 at 10 Percent 1 0.909 2 0.826 3 0.751 4 0.683 5 0.621 6 0.513 Machine A will generate net cash flow of $70,000 in each of the four years. Machine B will generate $80,000 in year 1, $70,000 in year 2, $60,000 in year 3, and $40,000 per year for the remaining three years of its useful life. Which of the following statements portrays the most accurate analysis between the two proposals?a. Mars should invest in Machine A becuase the net present value of Machine A after 4 years is higher than the net present value of Machine B after 4 years.b. Mars should invest in Machine B becuase the net present value of Machine A after 4 years is lower than the net present value of Machine B after 6 years.c. Mars should invest in Machine B becuase the net present value of Machine A after 4 years is lower than the net present value of Machine B after 4 years.d. Mars should invest in Machine A becuase the net present value of Machine A after 4 years is higher than the net present value of Machine B after 6 years.