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
Nat2105 [25]
3 years ago
5

Solve the equation by factoring: x2 − 7x + 12 = 0

Mathematics
1 answer:
Gnoma [55]3 years ago
7 0

Answer:

x = 3 . . . or . . . x = 4

Step-by-step explanation:

The factored form is ...

(x -3)(x -4) = 0

The zero product rule tells you the solutions are the values of x that make the factors be zero:

x = 3

x = 4

_____

Comment on factoring

When the leading coefficient is 1, the coefficient of the x-term is the sum of the constants in the binomial factors, and the constant term is their product. You can see this by multiplying out the generic case:

(x +a)(x +b) = x^2 +(a+b)x + ab

What this means is that when you're factoring, you're looking for factors of the constant that add up to give the coefficient of the x-term. Here, the x-term is negative and the constant is positive, so both factors will be negative.

12 = -1×-12 = -2×-6 = -3×-4

The sums of these factor pairs are -13, -8, -7. Clearly, the last pair of factors of 12 will be useful to us, since that sum is -7. So, the binomial factors of our equation are ...

(x -3)(x -4) = 0

___

If the leading coefficient is not zero, the method of factoring is similar, but slightly different. Numerous videos and web sites discuss the method(s).

You might be interested in
Robin and evelyn are playing a target game. the object of the game is to get an object as close to the center as possible. each
svetlana [45]
Here's some of the info

~<span>Evelyn has the greater mean.

~</span>Evelyn’s objects generally landed farther away from the center than Robin’s.<span>
~</span>The object is to get the objects close to the center, so Robin is winning.<span>
</span>
5 0
3 years ago
Read 2 more answers
Solve for s<br><br> 1/3 s = 7
Vladimir79 [104]

Answer:

21

\frac{1}{3} s = 7 \\ s = 7 \times 3 \\ s = 21

8 0
3 years ago
Ken receives $521 for maintenance on his grandmother's house and $347 for yard work. Which is the best estimate for how much mon
VikaD [51]

Answer:

521

+347

868

870

Step-by-step explanation:

8 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPP
Tamiku [17]
$20/5 is $4, so for every increase in temperature, it's 4 (1°=$4). So 9*4=36. So your answer is B.
4 0
3 years ago
Read 2 more answers
The following three functions look very similar, but define very different functions. Think about how they are defined and write
tatiyna

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following functions :

sin^4 (x) = f(g(x)) where f(x) = and g(x) =

Sin⁴(x) = sin(x)⁴

g(x) = sin(x),

f(x) = f(g(x)) = f(sin(x)⁴) = x⁴

2.) sin(sin(x)) = f(g(x)) where f(x) = , and g(x) =

g(x) = sin(x) ; sinx = x

g(x) = sin(x)

f(x) = f(g(x)) = sin(x) ; sin(x) = x

f(x) = f(g(x)) = f(sin(x))

f(x) = sin(x)

3. sin x^4 = f(g(x)) where f (x) = , and g(x) = .

Here,

g(x) = x⁴

f(x) = f(g(x)) = sin(g(x)) = sin x

f(x) = sinx

8 0
3 years ago
Other questions:
  • If x &gt; y, then |x| &gt; |y|. This conditional statement is (true or false) . Counterexample:
    12·1 answer
  • Someone help me please
    12·2 answers
  • Math question down below
    15·2 answers
  • recycled plastic keeps people warm. Some factories used recycled plastic, combined with other fabrics to make winter jackets. A
    14·1 answer
  • How do you put y+2x=5 into slope-intercept form?
    11·2 answers
  • Dragonfly speed is 6.974
    13·1 answer
  • 1. Consider the figure below where l2 intersects and m&lt;2 = 90°
    15·1 answer
  • Find the area of each square given the side S or the perimeter P. S = 2 yd Thank you if u r helping me!
    5·1 answer
  • Fill the answer in the question mark<br> ? / 10 = 24
    10·2 answers
  • Choose Yes or No to tell whether each rate is a unit rate, 1/ 1/3 , 2/3 / 1 , 2/3 , 3/1​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!