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
LuckyWell [14K]
4 years ago
10

Factorising quadratics X squared + 5x -6 X squared - 2x15 X squared -7x +12

Mathematics
1 answer:
34kurt4 years ago
5 0

Answer:

  • (x -1)(x +6)
  • (x -5)(x +3)
  • (x -4)(x -3)

Step-by-step explanation:

In each case, you're looking for divisors of the constant that have a sum equal to the x-coefficient. Those divisors are the constants in the binomial factors.

1) -6 = -1·6 = -2·3 . . . . . (-1)+(6) = 5, so these are the constants of interest.

  x^2 +5x -6 = (x -1)(x +6)

__

2) -15 = -1·15 = -3·5 = -5·3 . . . . . (-5)+(3) = -2, so these are the constants of interest

  x^2 -2x -15 = (x -5)(x +3)

__

3) 12 = -1·-12 = -2·-6 = -3·-4 . . . . . (-3) +(-4) = -7, so these are the constants of interest

  x^2 -7x +12 = (x -3)(x -4)

You might be interested in
Help me please!!!!!!!!!!!!!
marusya05 [52]

Answer:

B.) (0,1)

Hope this helps : )

7 0
3 years ago
Read 2 more answers
I don't know how to explain it but please help!
Wittaler [7]

Answer:

required answer. is 1/x³

7 0
3 years ago
Find the volume of the figure below. Round your answer to the nearest hundredth if necessary.
slamgirl [31]

Answer:

C. 225 km3

Step-by-step explanation:

7 0
3 years ago
Can someone please answer these questions to help me understand? Please and thank you! Will mark as brainliest!!
Nadya [2.5K]

QUESTION 1  

If a function is continuous at x=a, then \lim_{x \to a}f(x)=f(a)  

Let us find the limit first,  

\lim_{x \to 4} \frac{x-4}{x+5}  

As x \rightarrow 4, x-4 \rightarrow 0,x+5 \rightarrow 9 and f(x) \rightarrow \frac{0}{9}=0  

\therefore \lim_{x \to 4} \frac{x-4}{x+5}=0  

Let us now find the functional value at x=4  

f(4)=\frac{4-4}{4+5} =\frac{0}{9}=0  

Since  

\lim_{x \to 4} f(x)=\frac{x-4}{x+5}=f(4), the function is continuous at a=4.  

QUESTION 2  

The correct answer is table 2. See attachment.


In this table the values of x approaches zero from both sides.


This can help us determine if the one sided limits are approaching the same value.

As we are getting closer and closer to zero from both sides, the function is approaching 2.


The values are also very close to zero unlike those in table 4.


The correct answer is B


QUESTION 3


We want to evaluate;


\lim_{x \to 1} \frac{x^3+5x^2+3x-9}{x-1}


using the properties of limits.


A direct evaluation gives \frac{1^3+5(1)^2+3(1)-9}{1-1}=\frac{0}{0}.


This indeterminate form suggests that, we simplify the function first.


We factor to obtain,


\lim_{x \to 1} \frac{(x-1)(x+3)^2}{x-1}


We cancel common factors to get,


\lim_{x \to 1} (x+3)^2


=(1+3)^2=16


The correct answer is D



QUESTION 4

We can see from the table that as x approaches -2 from both sides, the function approaches -4


Hence the limit is -4.


See attachment


The correct answer is option A

3 0
3 years ago
Aimee and Ben are purchasing a condominium and are financing $415,500. The mortgage is a 20-year 3/1 ARM at 2.75% with a cap str
Sonbull [250]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

 <span>Bart and April are purchasing a house with a 15-year, 2/1 ARM for $315,000 at 5.85% with a 2/8 cap structure. What will the difference in payments be from year 2 to year 3? 

$333.68 </span>
4 0
3 years ago
Other questions:
  • Dependent or Independent
    15·1 answer
  • 36/ of what number is 27
    15·2 answers
  • Ryan is buying a new car for his mom. This car costs x dollars, and sales tax is 7%. Write two expressions that describe the tot
    8·1 answer
  • In the figure shown, lines 1 and 2 are parallel.
    5·1 answer
  • (4x squared) to the third power
    7·1 answer
  • There are 3 feet in 1 yard. This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this? StartFract
    7·2 answers
  • Given f(x) and g(x) = k•f(x) use the graph to determine the value of k. A. -2 B. -1/2 C. 1/2 D. 2
    9·1 answer
  • Hey guys, can you help me please​
    12·2 answers
  • The radius of a cylindrical construction pipe is 3.5ft . If the pipe is 38ft long, what is its volume? Use the value 3.14 for (p
    8·1 answer
  • You went clothes shopping two times. The first time you bought 3 shirts and 2 pants for $120.00. The second time, you paid $213.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!