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
zlopas [31]
3 years ago
12

Factor 7(x − 3)2 − 4(x − 3) − 3 completely.

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0
7(x-3)^2-4(x-3)-3\\\\substitute\ t=x-3,\ then\ we\ have\\\\7t^2-4t-3\\\\a=7;\ b=-4;\ c=-3\\\\\Delta=b^2-4ac\\\\\Delta=(-4)^2-4\cdot7\cdot(-3)=16+84=100\\\\t_1=\dfrac{-b-\sqrt\Delta}{2a};\ t_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\t_1=\dfrac{-(-4)-10}{2\cdot7}=\dfrac{4-10}{14}=\dfrac{-6}{14}=-\dfrac{3}{7}\\\\t_2=\dfrac{-(-4)+10}{2\cdot7}=\dfrac{4+10}{14}=\dfrac{14}{14}=1\\\\7t^2-4t-3=7\left(t+\dfrac{3}{7}\right)(t-1)=(7t+3)(t-1)\\\\=(7(x-3)+3)(x-3-1)=(7x-21+3)(x-4)\\\\=\boxed{(7x-18)(x-4)}
You might be interested in
Jimmy invests $15,000 in an account that pays 8.90% compounded quarterly. How long (in years and months) will it take for his in
viktelen [127]
22000=15000(1+.089/4)^4t
22/15=(1.02225)^4t
log(22/15)=4tlog1.02225
(log(22/15)/4log1.02225)=t
(.16633/.038228)=t
t=4.35 years or 4 years and approximately 4 months

8 0
3 years ago
Center City
OverLord2011 [107]

Answer 110

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A company that makes cartons finds that the probability of producing a carton with a puncture is 0.03​, the probability that a c
matrenka [14]

Answer:

(a) Having a smashed corner need to now not depend on whether or not the carton had a puncture or not,

so these occasions have to be independent.

One manner to check it the usage of the given probabilities:

If P(A)P(B) = P(A and B), then the events are independent.

Here we have : (0.05)(0.08) which is 0.004, that is P(A and B), so the events are  independent.

(b) P(A or B) = P(A)+P(B)-P(A and B) = 0.05 + 0.08 – 0.004 = 0.126  

Step-by-step explanation:

Please mark me brainliest!

I can help with any other questions you may have!

4 0
3 years ago
If the radius of a circle is 3, calculate the diameter.
Rom4ik [11]

Answer:

The diameter would be 6

Step-by-step explanation:

the radius is half of a diameter, so you would have to double the radius to get the diameter

d=2r

=2(3)

=6

The diameter reaches across the circle, while the radius reaches only half way, so you would have to double the radius to get the diameter (2r)

sorry if this doesnt make sense

take care, stay safe, be careful, and live

stay safe

-Ken Ken (kenma #3)

8 0
3 years ago
How do I solve 9.1/-2.6
natima [27]

Answer:

-3.5

Step-by-step explanation:

9.1 divided by -2.6= -3.5

5 0
3 years ago
Other questions:
  • What is y=2x+1 as a graph
    12·1 answer
  • All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big orde
    15·1 answer
  • The length of a rectangle is 3 cent. less than four times it’s width. it’s area is 10 sq cent.
    12·1 answer
  • I need a quick response! Please help!
    7·1 answer
  • June uses 12eggs to make cupcakes she used 4 eggs for each batch of cupcake which expression can be used to find the number of b
    6·2 answers
  • Micah has a loan of $6,720. This loan has a simple interest rate of 3.5% per year. What is the amount of interest that Micah wil
    6·1 answer
  • David's bowling score is 6 less than 3 times Aaron's score. The sum of their scores is 214. Find the score of each student. Use
    10·1 answer
  • URGENT
    12·2 answers
  • 6 less than one-third of a number m is y
    7·1 answer
  • Help pls ill award u the brainliest person!!! plsss help nowwww
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!