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
REY [17]
3 years ago
14

Solve the nonlinear system of equations. State the number of solutions.

Mathematics
1 answer:
WITCHER [35]3 years ago
7 0

Answer:

Step-by-step explanation:

Hello,

Question 15

We can search x such that:

   x^2-4x+4=2x-5\\\\\text{*** subtract 2x-5 from both sides ***}\\ \\x^2-4x-2x+4+5=0\\ \\\text{*** simplify ***}\\ \\x^2-6x+9=0 \\ \\\text{*** we can notice a perfect square ***}\\ \\x^2 -2\cdot x \cdot 3 + 3^2=(x-3)^2=0\\\\\text{*** taking the root ***}\\\\x-3=0\\\\\large \boxed{\sf \ \ x=3 \ \ }

There is 1 solution.

Question 16

Again, we search x such that:

  x^2-8x+15=2x-6\\\\\text{*** subtract 2x-6 from both sides ***}\\\\x^2-8x-2x+15+6=0\\\\\text{*** simplify ***}\\\\x^2-10x+21=0 \\ \\\text{*** we are looking for two roots where the sum is 10 and the product is 21 = 7 x 3 ***} \\\\x^2-7x-3x+21=x(x-7)-3(x-7)=(x-3)(x-7)=0\\\\\large \boxed{\sf \ \ x= 3 \ or \ x =7 \ \ }There are two solutions.

 

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

You might be interested in
Three bus tickets cost $5.<br><br> How many bus tickets can you buy with $15?
Pavel [41]

Answer: 9 tickets

Step-by-step explanation:

5 0
2 years ago
Help
marissa [1.9K]
The answer is 188 altogether 
5 0
3 years ago
Read 2 more answers
10000000x1256y+800-2a=?
podryga [215]

Answer:

2(5000000x1256y+400−a)

Step-by-step explanation:

4 0
3 years ago
The product of 6 and 12
34kurt

Answer:

72

Step-by-step explanation:

you just multiply

5 0
3 years ago
Which graph has the strongest correlation? Explain how. Estimate the values of the correlation for each graph. (View picture!)
nadya68 [22]

Answer:

optiiiiiiomnnnmmmnnn c!

4 0
3 years ago
Other questions:
  • What did the doctor say after examining yunn yunsberger?
    10·1 answer
  • The type of transformation PQRS undergoes is a . If vertex Q is at (-4, -5), then vertex Q′ is at ?
    12·1 answer
  • What are the domain and range of the function f(x) equals 3/4 X +5
    10·2 answers
  • Triangle L M Q is cut by perpendicular bisector L N. Angle N L Q is 32 degrees and angle L M N is 58 degrees. Is TriangleMNL ≅ T
    6·2 answers
  • Find the total surface area of this square based pyramid. 10ft 10ft (in the image)​
    8·1 answer
  • HELP PLEASE, I will mark brainless
    13·1 answer
  • Which of these numbers is greater than 2.25 but less than 1? Is it 1 or 1.5 or 0 or 2.5
    10·1 answer
  • Hannah has a chicken coop with six hens. Let X represent the total number of eggs the hens lay on a random day. The distribution
    13·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Cbegin%7Bequation%7D%5Ctext%20%7B%20Question%3A%20Find%20the%20value%20of%20%7D%20%5Cfrac%7B
    14·1 answer
  • I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!