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
Butoxors [25]
3 years ago
13

The area of a rectangle garden is 2g^2+34g+140. If the width is 2g+14 what is the length?

Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0
We know  that
[area of rectangle]=length*width
area=2g²<span>+34g+140
</span><span>width =2g+14
</span>
step 1
find the roots of 2g²+34g+140

using  a graph tool-----> to resolve the second order equation
see the attached figure
the solution is 
g=-10
g=-7
so
2g²+34g+140=(2g+14)*(g+10)

therefore

the length is (g+10)

the answer is
the length is (g+10)

You might be interested in
If like line A is changed to line B how will the equation change
Alla [95]

Answer:

Line B will become line A and Line A will become line B.

Step-by-step explanation:

3 0
3 years ago
Evaluate the expression when p = 4. p^2+5 no links pls ​
inna [77]

Answer:

21

Step-by-step explanation:

when p is 4

p² + 5 = 4² + 5

16 + 5 = 21

7 0
3 years ago
See attachment for the full question
alexandr402 [8]

The inverse of the demand function is; P = 9 - 0.25Q

The profit-maximizing price and quantity are; $8.5 and 2 units.

The maximum profit is; $1

<h3>How to find the inverse of a function?</h3>

A) The demand function we are given is;

Q = 36 - 4P

Making P the subject gives the inverse demand function;

P = (36 - Q)/4

P = 9 - Q/4

P = 9 - 0.25Q

B) The profit-maximization point is the point at which MR = MC.

MR refers to the marginal revenue and MC is the marginal cost.

MC can be calculated as the first derivative of the cost function:

C(Q) = 4 + 4Q + Q²

MC = C'(Q) = 2Q + 4

Total Revenue = Price * Quantity

Total Revenue = (9 - 0.25Q) * Q

Total Revenue = 9Q - 0.25Q²

MR is gotten by differentiating Total Revenue to get;

MR = 9 - 0.5Q

Applying the condition MR = MC, we have;

9 - 0.5Q = 4 - 2Q

Solving for Q gives Q = 2

Thus, profit maximizing quantity is 2.

Thus, profit maximizing price will be;

P(2) = 9 - 0.25(2)

P(2) = $8.5

C) Formula for Maximum Profit is;

Profit = Total Revenue - Total Cost

Total Revenue = 8.5 * 2

Total revenue = $17

Total Cost is;

C(2) = 4 + 4(2) + 2²

C(2) = $16

Thus;

Maximum Profit = 17 - 16 = $1

Read more about Inverse of a function at; brainly.com/question/13948067

#SPJ1

3 0
2 years ago
A man wishes to keep some money in savings de-
Lisa [10]

Answer:

He needs to deposit N76800 now.

Step-by-step explanation:

The amount of money is compound interest after t years is given by:

P(t) = P(0)(1+r)^t

In which P(0) is the initial amount of money invested and r is the interest rate, as a decimal.

25% compound interest so that after 3 years to buy a car for N150000.

This means that:

t = 3, P(t) = 150000, r = 0.25. So

P(t) = P(0)(1+r)^t

P(t) = P(0)(1+0.25)^t

P(t) = P(0)(1.25)^t

150000 = P(0)(1.25)^3

P(0) = \frac{150000}{(1.25)^3}

P(0) = 76800

He needs to deposit N76800 now.

6 0
3 years ago
Factor 10w10 – 19w9 +6w8 completely.<br> 10w10 – 19w9 +6w8 =
erica [24]

Step-by-step explanation:

10w¹⁰ - 19w⁹ + 6w⁸

= w⁸(10w² - 19w + 6)

= w⁸(2w-3)(5w-2)

6 0
3 years ago
Other questions:
  • Help plz!
    11·2 answers
  • Is there anyone who is good at geometry
    15·1 answer
  • Marsha created this scale drawing of a soccer field, using a scale factor of 1 inch: 12 yards. She wants to make another scale m
    14·2 answers
  • Please help me solve this.<br>​
    6·1 answer
  • the ez pay plan costs $0.15 per minute. write an expression that represents the monthly bill for x minutes on the ez pay plan
    7·2 answers
  • Which table represents a linear function?<br> Chart 1. <br> Chart 2. <br> Chart 3.<br> Chart 4.
    5·2 answers
  • Mia got $80 for her birthday and spent $60. What percent of her birthday money does she have left
    13·1 answer
  • Given 2x - 9y - 12 = 0, express 5x - 4y + 7 = 0 in terms of x only
    9·1 answer
  • Noah is cutting construction paper into rectangles for a project. He needs to cut one rectangle
    11·1 answer
  • Can you solve... 4(-6g-10h)+3h-4(-3h-10g)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!