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
FromTheMoon [43]
3 years ago
12

What's the complete factorization of 10a^2 - 40a + 30?

Mathematics
1 answer:
geniusboy [140]3 years ago
5 0
Ok first you want to reduce down to get the poly into its smallest form. You can do this by dividing by 10 which leaves you with a^2-4a+3. Now you use regular factoring rules. For this equation you need what multiplies to get +3 and adds to get -4. Which is a -1 and a -3. Now you put it into the blanks to get        10(a-1)(a-3)
You might be interested in
20 - 4x = 2(4 - 8x) This needs solving
Olenka [21]

20 - 4x = 2(4 - 8x)

Make sure to do the parentheses first or factor out first

20 - 4x = 8 - 16x

add 16x to both sides

20 + 12x = 8

Subtract 20

12x = -12

Divide by 8

x = -1

8 0
3 years ago
Read 2 more answers
Find an integer value of b that makes x^2 + bx - 81 factorable.
Kaylis [27]

Answer:

b = 80

Step-by-step explanation:

Given that,

x² + bx - 81

To find,

value of b

What is factorable?

A polynomial equation with highest degree 2 is if factorable when

  1. we can find two terms which when multiples = -81x²,   <em> ( x² * - 81 = -81x² ) </em>
  2. and when add = bx

possible factors:

  1. -1x * 81x = -81x²   (Accepted)
  2. 1x * -81x= -81x²    (rejected)
  3. 9x * -9x = -81x²    (rejected)
  4. -9x * 9x = -81x²    (rejected)

Only when -1x , 81x is added -1x + 81x = 80x

so, bx = 80x

     b   = 80

<h3>The equation is x² + 80x - 81</h3>

5 0
3 years ago
Need help please thank you
umka21 [38]
2 cakes - Theresa's and Joe's
Theresa's cake had 6 pieces after she cut it. (2 times the size of Joe's pieces)
Joe's cake had 12 pieces after he cut it. (1/2 the size of Theresa's pieces)

We know that 8/12ths of ONE cake were eaten and that Joe ate 2 of his pieces.
We want to know how many pieces Theresa ate of her cake. Keeping in mind that her pieces are equal to 2 of Joe's pieces we can solve this question. 

8/12 eaten total
if 2/12 by Joe
then 8-2 = 6, 6/12 by Theresa
(BUT: Theresa's pieces were twice the size of Joe's so we will divide by 2)
6/12 = 3/6

Answer: Theresa ate 3 pieces of her cake

7 0
3 years ago
While sightseeing in Rome, Lance stopped to see the Colosseum. He learned that the height of the outer wall of the Colosseum mea
Tresset [83]

Answer:

157.44 feet

Step-by-step explanation:

Given that:

Lance is out for sightseeing in Rome.

Lance went to see the Colosseum.

Height of the outer wall of the Colosseum = 48 meters

Unit Conversion formula:

1 meter = 3.28 feet

To find:

Height of the outer wall of the Colosseum in feet.

Solution:

It is simple problem for the conversion of unit where we already know the value in one unit and the conversion formula as well.

We have to simply find how much 48 meters will be when converted in feet.

1 meter = 3.28 feet

48 meter = 48 \times 3.28 = <em>157.44 feet</em>

5 0
3 years ago
The population of a small town is 39,668 and has been continuously declining at a 1.5% a year what will the population be in 13
anyanavicka [17]

Answer:  31, 932.74

Step-by-step explanation:

The population of the small town              =  39,668

Yearly rate of decline                                 = 1.5%

Therefore, to calculate 1.5% of 39,668       = 1.5  x 39,668

                                                                         ------------------

                                                                                  100

                                                                      =   595.02

So, the population is declining by 595.02 on yearly basis.

To ascertain what will the population would have declined to in the next 13 years,

We multiply ,                                                = 595.02 x 13

                                                                      =7,735.26

Now population in 13 years                         = 39,668 - 7,735.26

                                                                      = 31,932.74

                 

                                                                                 

6 0
3 years ago
Other questions:
  • Earned income and capital gains (or portfolio income) are acquired in different ways. Which statement describes how they are dif
    10·2 answers
  • Find the missing x- and y-values and Pythagorean triples can be generated using the identity given. Write the triple in parenthe
    14·1 answer
  • Please help this is like the tenth time:(
    5·1 answer
  • What is the right answer​
    8·1 answer
  • What is the measure of EA? <br> A)21<br> B)36<br> C)51<br> D)30
    10·1 answer
  • How would you figure out how many samples of cookie dough can be given
    9·1 answer
  • What is a(1), also known as the first term?<br> A. a(n)=a(50) +10d (n-1)<br> B. a(n) = 50+ 10(n-1)
    9·1 answer
  • A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter
    12·1 answer
  • Please help me I don’t understand
    8·1 answer
  • B) After allowing 16 % discount on the marked price of an article and levying 13 % value
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!