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
Advocard [28]
3 years ago
7

Solve the system of equations: y=2x-3 y=x2-3

Mathematics
1 answer:
Westkost [7]3 years ago
5 0

Answer: x = 0 or x = 2

Step-by-step explanation:

To solve this, we must note that the two equations speaks of a single function of y. So

y = 2x - 3 = x² - 3

So from.here we can equate the two together and solve for x.

x² - 3 = 2x - 3, biw convert to a quadratic expression

x² - 2x - 3 + 3 = 0

x² - 2x = 0

Now factorize

x( x - 2 ) = 0, so solving for x

x = 0 or x = 2. .I believed getting the 2 won't be a problem

When x - 2 = 0

Then x = 2.

You might be interested in
Mr. Lim read 10 pages. Mr Smith read 15 pages. How many did Mr. Want read?
vazorg [7]
It doesn't say anything about him.
6 0
3 years ago
Read 2 more answers
Graph the function y = 4x4 - 8x2 + 4. Which lists all of the turning points of the graph? 0 (0,4) 0 (-1,0) and (1, 0) 0 (-1,0),
jeyben [28]

Answer:

(-1,0) (0,4) (1,0)

Step-by-step explanation:

The turning points are also called the critical points.  It is where the graph changes direction.

They occur at (-1,0) (0,4) (1,0)

7 0
3 years ago
Read 2 more answers
Anyone knows how to do questions 7 and 8? 15 pts!!
Oksi-84 [34.3K]
7) Certainly there is a typo in the statement, just see that the expression of item (ii) is different from that of item (i). Probably the correct expression is: 2x^2-4x+5. With this consideration, we can continue.

(i) Let E the expression that we are analyzing:

E=2x^2-4x+5\\\\ E=2x^2-4x+2-2+5\\\\ E=2(x^2-2x+1)-2+5\\\\ E=2(x-1)^2+3

Since (x-1)² is a perfect square, it is a positive number. So, E is a result of a sum of two positive numbers, 2(x-1)² and 3. Hence, E is a positive number, too.

(ii) Manipulating the expression:

2x^2+5=4x\\\\ 2x^2-4x+5=0

So, it's the case when E=0. However, E is always a positive number. Then, there is no real number x that satisfies the expression.

8) Let E the expression that we want to calculate:

E=(2+1)(2^2+1)(2^4+1)\cdot ...\cdot(2^{32}+1)+1\\\\ E-1=(2+1)(2^2+1)(2^4+1)\cdot ...\cdot(2^{32}+1)

Multiplying by (2-1) in the both sides:

(2-1)(E-1)=(2-1)(2+1)(2^2+1)(2^4+1)\cdot ...\cdot(2^{32}+1)\\\\ (E-1)=\underbrace{(2-1)(2+1)}_{2^2-1}(2^2+1)(2^4+1)\cdot ...\cdot(2^{32}+1)\\\\ (E-1)=\underbrace{(2^2-1)(2^2+1)}_{2^4-1}(2^4+1)\cdot ...\cdot(2^{32}+1)\\\\ ... Repeating the process, we obtain: ...\\\\ E-1=(2^{32}-1)(2^{32}+1)\\\\ E-1=2^{64}-1\\\\ \boxed{E=2^{64}}
3 0
3 years ago
Read 2 more answers
HELP PLEASE determine the number of real number solutions for the equation x^2+6x+9=0​
brilliants [131]

Answer:

1 Answer->3

Step-by-step explanation:

To factor this out find the factors of 9 which add up to 6.

3 and 3 work therefore factor it out to

(x+3)(x+3)=0

Using Zero product property x is equal to -3

And there is only one answer which is 3

6 0
2 years ago
The sum of the polynomials 6x3 + 8x2 – 2x + 4 and 10x3 + x2 + 11x + 9 is
faltersainse [42]

Answer:

16x^2 + 9x^2 + 9x + 13.

Step-by-step explanation:

6x^3 + 8x^2 – 2x + 4 +10x^3 + x^2 + 11x + 9

Bringing like terms together:

= 6x^3 + 10x^3 + 8x^2 + x^2 - 2x + 11x + 4 + 9

= 16x^2 + 9x^2 + 9x + 13.  (answer).

4 0
3 years ago
Other questions:
  • PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!! EXTRA POINTS!!!<br><br> Find the value of x.
    6·2 answers
  • Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign? 4x + 3 (is presented
    11·1 answer
  • Jaclyn has 72 stickers she used 18 for a scrapbook then she gave 7 to her sister how many stickers does she left
    12·2 answers
  • What is the solution of the equation?  Eliminate any extraneous solutions.
    5·1 answer
  • Drew 2 two-dimensional shapes that had 8 angles in all
    8·1 answer
  • Hey can anybody give me a teachers answer key on dis lessons
    12·1 answer
  • Help
    5·1 answer
  • HELP ME PLZZZ ASAP!
    6·1 answer
  • A little help? A set of numbers is given below. √72, 9.25, √83, 2, 8.7 Which list correctly orders the numbers from least to gre
    5·1 answer
  • Luis, Marissa, and Federico are raising money for a school trip. Luis
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!