![cece9080](/avatars/13852.jpg)
cece9080
20.10.2020 •
Mathematics
Y = x2 + 4x + 4
y = 2x + 7
How many solutions?
Solved
Show answers
More tips
- S Style and Beauty How to Tie a Tie Correctly: A Simple Guide...
- F Food and Cooking How to Make Polendwitsa at Home?...
- F Family and Home Parents or Environment: Who Has the Most Influence on a Child s Upbringing?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
- L Leisure and Entertainment How to Choose the Perfect Gift for Men on February 23rd?...
- H Health and Medicine How to Treat Whooping Cough in Children?...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
Answers on questions: Mathematics
- M Mathematics Hello Please help ASAP...
- M Mathematics Alejandro reduced triangle a proportionally. he made each side 12 as long. use the drop-down menus to complete the statements below....
- M Mathematics At the end of a year, the gross debt of a country stood at about $ 25 25 trillion. express this amount in dollars per person, assuming that the population of the country is about...
- M Mathematics Find the standard equation of the parabola that satisfies the given conditions. Also, find the length of the latus rectum of each parabola. focus: (-3,0), directrix: x = 6 Choose...
- M Mathematics If a 2-kg block compresses a spring 800mm from its relaxed state, how much potential energy does the block have due to the spring? assume the spring constant, k = 25 n/m....
Ответ:
2 solutions
Step-by-step explanation:
Given the 2 equations
y = x² + 4x + 4 → (1)
y = 2x + 7 → (2)
Substitute y = x² + 4x + 4 into (2)
x² + 4x + 4 = 2x + 7 ( subtract 2x + 7 from both sides )
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Substitute these values into (2) for corresponding values of y
x = - 3 : y = 2(- 3) + 7 = - 6 + 7 = 1 ⇒ (- 3, 1 )
x = 1 : y = 2(1) + 7 = 2 + 7 = 9 ⇒ (1, 9 )
The 2 solutions are (- 3, 1 ) and (1, 9 )
Ответ:
x = 4.
Step-by-step explanation:
1.5(x + 4) – 3 = 4,5(x - 2)
1.5x + 6 - 3 = 4.5x - 9
6 - 3 + 9 = 4.5x - 1.5x
12 = 3x
x = 4.