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Dimas [21]
2 years ago
13

Help please!! Thank you!! :)

Mathematics
1 answer:
Naddik [55]2 years ago
5 0

Answer:

  A.  m^2+7m+10=0

Step-by-step explanation:

This is a problem in pattern matching, and in substituting a variable for a pattern.

  (x^2+3)^2 +7x^2 +21 = -10 . . . . . . given

  (x^2 +3)^2 +7(x^2 +3) = -10 . . . . . factor the last two terms

  m^2 +7m = -10 . . . . . . . . . . . . subsitute m for x^2 +3

  m^2 +7m +10 = 0 . . . . . . . . add 10 to both sides; matches A

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I need to find how many solutions does the system have. ​
REY [17]
From what I got there is one real solution :)

Rearrange the second equation to give y=2-2x, substitute into the first equation to give you a value for x and then using that you can work out y for the exact coordinates of intersection :)

Also they are both straight line graphs so they will either have one or no solutions

Hope this helped :)
4 0
3 years ago
The area of the patio is 216 square feet. Write an equation that represents the area of the patio
Hoochie [10]

Answer:

216=2w \times w

Step-by-step explanation:

Assuming that the patio is a rectangle, we have

A= l\times w

Where l is the length and w is the width.

Now let's assume that the length of the patio is double than the width.

l=2w

So, the equation that represents this problem is

216=2w \times w

6 0
3 years ago
The Print Shop provides copying services to the general public. The Print Shop has equipment which is capable of making 1,800 co
steposvetlana [31]

a) The financial analysis determining the acceptance of the special order is as follows:

Data and Financial Analysis:

Capacity of photocopier per hour = 1,800 copies

Practical capacity of equipment = 7 hours

Total copies in a day = 12,600 (1,800 x 7)

Steady demand per day = 10,000

Variable cost per copy = $0.22

Service price per copy = $0.25

Profit per copy = $0.03 ($0.25 - $0.22)

Normal profit based on steady demand of 10,000 = $300 ($0.03 x 10,000)

Profit based on maximum capacity of 12,600 = $378 ($0.03 x 12,600)

Price per copy for the special customer = $0.24

Profit per copy based on special price of $0.24 = $0.02 ($0.24 - $0.22)

Profit from special customer with 5,000 pages = $100 (5,000 x $0.02)

Profit from other probable customers = $228 (7,600 x $0.03)

Lost profit for accepting special order based on maximum capacity = $50 ($378 - $228 - $100)

Lost profit if order is <u>not accepted</u> and demand is only 10,000 copies = $78 ($378 - $300)

  • Therefore, the special order at $0.24 should be accepted.

b) The largest order from customer that the shop could accept = 5,000 + $50/$0.02

= 5,000 + 2,500

= 7,500 copies

Thus, if the customer orders 7,500 copies to be made, the shop can still realize a maximum profit of $378 by accepting orders for additional 5,100 (12,600 - $7,500) copies from others.

Learn more: brainly.com/question/22599880

7 0
2 years ago
The perimeter of a regular pentagon is 41.5 cm. Write and solve an equation to determine the length of each side of the pentagon
Sveta_85 [38]

Answer:

41.5÷5= the answer 8.3 cm

5 0
3 years ago
Find the domain -√x-5+10
Ann [662]
0, and Positive infinity is the answer

4 0
3 years ago
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