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
BartSMP [9]
3 years ago
8

Find all solutions to the given equation: (x − 3)(x +2) = 0

Mathematics
1 answer:
Vladimir [108]3 years ago
4 0

Answer:

x = -2,3

Step-by-step explanation:

Given: (x − 3)(x +2) = 0

To find the solution of above factor.

It is already in factor form.

Two factors are (x-3) and (x+2)

So, set each factor to 0 and solve for x

(x − 3)  = 0     or     (x +2)  = 0

x - 3 = 0   or   x + 2 = 0

x = 3   or  x = -2

Hence, The solution of the (x − 3)(x +2) = 0 are 3 and -2

You might be interested in
BRAINIEST IF ANSWERED CORRECTLY
adoni [48]

An example of something that doesn't have a solution is something like x+2 = x+3

If we subtract x from both sides, then we end up with 2 = 3, which is always false.

No matter what we plug in for x, the original equation will always be false. The right hand side is always 1 larger than the left side. So that's why we don't have any solutions here.

Side note: equations of this form are known as contradictions (or we could say the equation is inconsistent).

=====================================================

An example of something that has one solution is 3x+2 = 2x+7

Solving this equation leads us to...

3x+2 = 2x+7

3x-2x = 7-2

1x = 5

x = 5

To verify the solution, we plug it back into the original equation

3x+2 = 2x+7

3(5)+2 = 2(5)+7

15+2 = 10+7

17 = 17

We get the same thing on both sides, so we get a true statement. This confirms that x = 5 is the solution to 3x+2 = 2x+7.

=====================================================

An example of an equation with infinitely many solutions is 2x+4 = 2(x+2)

Notice how both sides are the same thing. The 2(x+2) distributes out to get 2x+4

Since we have the exact same identical expression on both sides, this ultimately means no matter what we plug in for x, we'll get a true statement. True statements (like the conclusion at the last section) are simply anything with the same number on both sides after simplifying everything.

Side note: equations of this form are known as identities

5 0
3 years ago
If g(x) = 3x + 2 and h(x) = 9x2 + 12x + 6, find a function f such that f ○ g = h
Virty [35]
F(g(x)) = f(3x+2) = h(x)=9x^2+12x + 6

Note that (3x+2)^2 = 9x^2 + 12x + 4, which is almost, but not quite, equal to h(x).

Let's experiment.  What if f(x) = x^2 + 2?

Then f(3x+2) = (3x+2)^2 + 2 = 9x^2 + 12x + 4 + 2 = 9x^2 + 12x + 6, which is the same as the given h(x).

Thus, f(x) is x^2 + 2.
6 0
3 years ago
The legs of a right triangle measure 70 centimeters and 64 centimeters.
mario62 [17]

Answer:

94.85

Step-by-step explanation:

use pytagorian theorem

c^2=a^2+b^2

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=5y%28%20y%20%2B%203%29%20-%202%28y%20-%202%29%20%3D%2020" id="TexFormula1" title="5y( y + 3) -
Alecsey [184]

Answer:

y =  \frac{ - 13 -  \sqrt{489} }{10}

4 0
3 years ago
Read 2 more answers
Find the mean of the following data set: 9, 8, 11, 9, 16, 15, 13, 6, 15, 18
FromTheMoon [43]

Answer:

The mean is 12

4 0
3 years ago
Read 2 more answers
Other questions:
  • US
    9·1 answer
  • What is the expression 2.2x+4.4 factored?<br>Thank you!!
    10·1 answer
  • 3 times a number is 54 less than the square of that number. Find the negative solution.
    11·1 answer
  • Y=(x-1)(x+7)<br> what are the x-intercepts?
    15·1 answer
  • Can someone help me with this x+5=13 ​
    13·2 answers
  • If you subtract 23.47 km from 560.589 km, how many significant digits would your answer have?
    15·1 answer
  • Hiii need help again thank youuu:)
    8·1 answer
  • Have a great day lads.<br><br>Don't forget to smile :)
    13·2 answers
  • Find the number if 20% of 64 is 10% of it?
    13·2 answers
  • SOMEONE PLS HELP QUICK WILL GIVE BRAiNLIEST
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!