sujeyribetanco2216
09.12.2019 •
Mathematics
Solve each linear-quadratic system algebraically. show all work.
y = – x^2 + 2x + 7
y = –2x + 2
Solved
Show answers
More tips
- S Style and Beauty Is Hot Scissor Haircutting Beneficial or Dangerous?...
- S Style and Beauty How to Get Rid of Under Eye Bruises?...
- F Food and Cooking Is Bacon Good for You?...
- S Style and Beauty Discover the Art of Nail Design: How Do You Paint Your Nails?...
- P Philosophy How to Develop Extrasensory Abilities?...
- O Other Everything You Need to Know About Kudyabliks...
- C Computers and Internet The Twitter Phenomenon: What it is and How to Use it...
- C Computers and Internet How to Choose a Laptop: Expert Guide and Tips...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics Which expression would the model be most helpful in solving? An area model has 5 shaded parts and 1 unshaded part. The shaded part is labeled StartFraction 5 Over 6 EndFraction....
- M Mathematics There is 4 options and the last one is 244 degrees if you can answer this plz do I would really appreciate it if you did...
- M Mathematics Im confused, so if you could hell me..That would be nice♀️...
- M Mathematics Is the following number rational or irrational? √121...
- M Mathematics There are 280 students in the elementary school and 30% of them ate a sandwich for lunch. How many students ate a sandwich for lunch? A. 74B. 84C. 112D. 250...
- M Mathematics I would really appreciate if u help me out I’m not asking too much from u but if u can I would really appreciate it...
- M Mathematics HELP HELP HELP HELP What is the equation of the trend line in the scatter plot ?...
- M Mathematics Please help me with this homework...
- M Mathematics A group of 42 people in a traveling stunt show performs at a local amusement park. There are three less than twice as many people who perform on skateboards as those who perform...
- M Mathematics Question #1a Almost every store at the mall is having a sale, but each is having a different kind of sale. Describe the sales(a) Justin bought a pair of shoes at Kevin s Kicks Shoe...
Ответ:
(5, - 8 ) and (- 1, 4 )
Step-by-step explanation:
Given the 2 equations
y = - x² + 2x + 7 → (1)
y = - 2x + 2 → (2)
Substitute y = - 2x + 2 into (1)
- 2x + 2 = - x² + 2x + 7 ← subtract - x² + 2x + 7 from both sides
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 5 → y = - 2(5) + 2 = - 10 + 2 = - 8 ⇒ (5, - 8)
x = - 1 → y = - 2(- 1) + 2 = 2 + 2 = 4 ⇒ (- 1, 4)
Ответ:
thanks for free points