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yan [13]
2 years ago
11

The product of the roots of the equation x2 + x=2 is: 0-2 01

Mathematics
1 answer:
gregori [183]2 years ago
5 0

Answer:

-2

Step-by-step explanation:

x^2 + x=2

Subtract 2 from each side

x^2 + x-2=2-2

x^2 + x-2=0

Factor

What 2 numbers multiply to -2 and add to 1

2*-1 = -2

2+-1 =1

(x-1)(x+2)=0

Using the zero product property

x-1 = 0  x+2 = 0

x=1        x = -2

Product of the roots

1*-2 = -2

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Determine the payback period (in years) for a project that costs $120,000 and would yield after-tax cash flows of $20,000 the fi
saveliy_v [14]

Answer: luis is 28

Step-by-step explanation:

first you need to set up an equation. if luis age is equal to four years added to colleens age we can substitute colleens age with a variable (i’m gonna use the letter c) and luis’s age for a different variable (i’ll use L). your equation would be C + 4 = L. our second equation would be both of their ages is equal to 52, giving us C + L = 52 as our equation. since our other equation tells us that what L equals (it would equal C plus 4), we can substitute out the L in the second equation for C + 4. the equations would change from C+L= 52, to C + C + 4 = 52. then we would solve like any regular equation for our variable. first we can simplify the 2 c’s together to get

2c + 4 = 52. next you would take your + four and do the opposite sign to both sides of the equation. so you do + 4 minus 4 and then 52 minus four. this leaves you with the equation 2c = 48. lastly you do the opposite function to both sides with your coefficient. you would do 2c divides by 2 (to cancel out your two because it’s being multiplied by c). and then 48 divided by 2 leaving you with C = 24. that tells us that colleens age is 24, and then you plug this into your first equation to get 24 + 4 = L telling you that luis’s age is 28. to fact check you would just add the two ages together to see if you got your total

number. these are called like two step equations with substitution i believe

7 0
3 years ago
A rectangle is dilated by a scale factor of 4.
Elanso [62]
A) The new dimensions would be 32cm by 12cm.
B) This is an enlargement.

To find the new dimensions, multiply the original dimensions by the scale factor.  8*4=32 and 3*4=12.

This is an enlargement because the copy is larger than the original.
7 0
3 years ago
Rasheed is contemplating whether to buy a membership for a trampoline park, which is $50 a year. As a
docker41 [41]

Answer: 28 hours

Step-by-step explanation:

Hi, the cost for the trampoline park without a membership is equal to the price of the jump tickets per hour (12) multiplied by the number of hours (h).

Cost without membership= 12h

With the membership the price of each jump ticket has a 15% discount ( so, 100-15 =85% of the total price ). To calculate the cost for this case we have to add the cost of the membership 50, and multiply the cost of each jump ticket (12) by 0.85 (percentage in decimal form)

Cost with membership = 50 +12 (0.85) h

If both cost are equal:

50 +12 (0.85) h = 12 h

Solving for h

50+10.2h =12h

50= 12h-10.2h

50= 1.8h

50/1.8= h

27.78 =h

h =28 (rounded)

8 0
3 years ago
Milk is delivered to a store every 3 days. Bread is delivered to the store every 5 days. Both were delivered today. How many day
inysia [295]

Answer:

15 days

Step-by-step explanation:

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3 0
2 years ago
6x10 to the 2 power + 45
trasher [3.6K]

Answer:

the answer is 60045

Step-by-step explanation:

the answer is 60000 because 6×10=60×100=60000+45=60045

4 0
3 years ago
Read 2 more answers
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