1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NNADVOKAT [17]
2 years ago
11

The length of a rectangle field is represented by the expression 14 X minus 3X squared +2 Y. The width of the field is represent

ed by the expression 5X minus 7X squared plus 7Y. How much greater is the length of the field than the width?
Mathematics
1 answer:
Assoli18 [71]2 years ago
7 0

Answer:

9x+4x^2-5y

Step-by-step explanation:

Hi there!

Length of the field: 14x-3x^2+2y units

Width of the field: 5x-7x^2+7y units

To find how much greater the length of the field is than the width, subtract the width from the length:

14x-3x^2+2y-(5x-7x^2+7y)

Open up the parentheses

= 14x-3x^2+2y-5x+7x^2-7y

Combine like terms

= 14x-5x-3x^2+7x^2+2y-7y\\= 9x+4x^2-5y

Therefore, the length is 9x+4x^2-5y units greater than the width.

I hope this helps!

You might be interested in
128 POINTS IF YOU HELP
Aleksandr-060686 [28]
(A) We let y = the cost and are told x = the number of people. Since you pay $20 per person, the cost is 20x. That is, y=20x

(B) Again, let the cost =y and the number of people is given as x. You pay $10 per person or 10x plus an additional $50 for the room. That is, y=10x+50

(c) Link to graphs: https://www.desmos.com/calculator but if that doesn't work see the attachment for a screen shot. You just have to put the equations (type them) at left and the graph comes automatically.

(D) The admission price is the same when the two equations are equal. You can find this by setting them equal to each other as such: 20x = 10x+50 and solving for x. However, since you just graphed them the point of intersection (where the lines share/have the same point) gives the information. Remembers that (x,y) = (people, cost). The graphs intersect at (5, 100) so for 5 people the cost is the same and the cost is $100.

(E) For the regular rate we let x = 6 and solve for y (the cost). We get y = 20x which is y = (20)(6)=120. It costs $120 using the regular rate to take 6 people. Now let's use the equation for the group rate again with x = 6. Here we get y = 10x +50 or y = 10(6)+50 = $110. The group rate costs $110.

(F) The cost is the same at 5 people but if there are more than five the group rate is better as we saw in part E. So the regular rate is better for less than 5 people.

(G) Here y = $150. Let us use the group rate formula and solve for x (the number of people). 10x+50 = 150 so 10x = 100 and x = 10. Since 10 is more than 5 this is the better deal. However if you don't believe it or want to double check we can solve for x using y = 150 and the regular rate equation. We get: 20x = 150 so x = 7.5 Since we can't bring half a person we would only be able to bring 7 and that is less than 10 so this is not the best choice. Use the group rate and bring 10 people!

8 0
3 years ago
Read 2 more answers
What is the volume of a rectangular prism that is 8 m long, 7 m wide, and 5 m tall?
OleMash [197]
Answer: 280
to find volume it's Length x Width x Height
8x7x5 = 280
4 0
2 years ago
What is the length of the base of a right triangle with an area of 20 m and a height of 4 m?
fenix001 [56]

Answer: 5 m

Step-by-step explanation:

height x base = area

4x=20

x=20÷4

x=5

base= 5m

4 0
2 years ago
The price of a pair of pants is $29.95 and the sales tax is 5%.
Vika [28.1K]

Answer: $31.45

Step-by-step explanation:

Given : The price of a pair of pants is $29.95.

The sales tax is 5% = 0.05

Required formula :

Total cost = Price + sales tax percent × Price

Total cost= Price (1+Sales tax percent)

i.e. Total cost of the pair of pants= 29.95 (1+0.05) =29.95(1.05)=31.4475 ≈ 31.45

Hence, the total cost of the pair of pants = $31.45

3 0
2 years ago
Read 2 more answers
How to work it out and the
Lilit [14]
Heyyy friend


Here is your answer

7 0
3 years ago
Other questions:
  • Pls help me asap will mark brainliest if right
    10·2 answers
  • What does "of" mean in math
    10·2 answers
  • What is the simplified form of this expression? (-3x2 + 4x) + (2x2 − x − 11)
    7·1 answer
  • What is the answer someone help please
    8·1 answer
  • the cultural revolution ended up by early 1970s.in which three ways did it cause devastation in China ​
    15·1 answer
  • I dont really understand this question, can anyone help me out?
    8·2 answers
  • consider the expression (2m + n - 5) and (-3 - 5m + 6n) what is the sum of the expression for n = -3 and m =6​
    13·1 answer
  • Mr. Indigo purchased some trees to plant in his backyard. He bought three oak trees for $23 each and an elm tree for $42. What w
    12·1 answer
  • Write 3.7 as a mixed number explain
    9·2 answers
  • Solve the equation. Simplify your answer.<br> 2 (3-x) = 16 (x+1)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!