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]
2 years ago
8

One of the solutions to x^2-2x-15=0 is x=-3. What is the other solution?

Mathematics
2 answers:
nikitadnepr [17]2 years ago
6 0
X=5 because the factored form of the equation is (x-5)(x+3)=0 so if u set both of these equal to 0, then the other solution is 5. 
fiasKO [112]2 years ago
5 0

Answer:

Other solution of the equation is x = 5

Step-by-step explanation:

Given Quadratic Equation,

x^2-2x-15=0

One of the solution of the given quadratic equation is x = -3

To find: 2nd solution of the equation.

We solve the given equation using middle term split method.

Consider,

x^2-2x-15=0

x^2-5x+3x-15=0

x ( x - 5 ) + 3 ( x - 5 ) = 0

( x - 5 )( x + 3 ) = 0

x - 5 = 0 ⇒ x = 5

x + 3 = 0 ⇒ x = -3

Therefore, Other solution of the equation is x = 5

You might be interested in
In a chemical plant, 24 holding tanks are used for final product storage. Four tanks are selected at random and without replacem
Damm [24]

Answer:

a) P(A) = 0,4607     or   P(A) = 46,07 %

b) P(B) = 0,7120   or 71,2 %

c) P(C) = 0,2055  or P(C) = 20,55 %

Step-by-step explanation:

We will use two concepts in solving this problem.

1.- The probability of an event (A) is for definition:

P(A) = Number of favorable events/ Total number of events FE/TE

2.- If A and B are complementary events ( the sum of them is equal to 1) then:

P(A) = 1 - P(B)

a) The total number of events is:

C ( 24,4) = 24! / 4! ( 24 - 4 )!    ⇒  C ( 24,4) = 24! / 4! * 20!

C ( 24,4) = 24*23*22*21*20! / 4! * 20!  

C ( 24,4) = 24*23*22*21/4*3*2

C ( 24,4) = 24*23*22*21/4*3*2    ⇒  C ( 24,4) =  10626

TE = 10626

Splitting the group of tanks in two 6 with h-v  and 24-6 (18) without h-v

we get that total number of favorable events is the product of:

FE = 6* C ( 18, 3)  = 6 * 18! / 3!*15!  =  18*17*16*15!/15!

FE =  4896

Then P(A) ( 1 tank in the sample contains h-v material is:

P(A) = 4896/10626

P(A) = 0,4607     or   P(A) = 46,07 %

b) P(B) will be the probability of at least 1 tank contains h-v

P(B) = 1 - P ( no one tank with h-v)

Again Total number of events is 10626

The total number of favorable events for the ocurrence of P is C (18,4)

FE = C (18,4) = 18! / 14!*4! = 18*17*16*15*14!/14!*4!

FE = 18*17*16*15/4*3*2  = 3060

Then P = 3060/10626

P = 0,2879

And the probability we are looking for is

P(B) = 1 - 0,2879

P(B) = 0,7120   or 71,2 %

c) We call P(C) the probability of finding exactly 1 tank with h-v and t-i

having 4 with t-i tanks is:

reasoning the same way but now having 4 with t-i (impurities) number of favorable events is:

FE = 6*4* C(14,2) = 24 * 14!/12!*2!

FE = 24* 14*13*12! / 12!*2

FE = 24*14*13/2    ⇒  FE = 2184

And again as the TE = 10626

P(C) = 2184/ 10626

P(C) = 0,2055  or P(C) = 20,55 %

5 0
3 years ago
A construction crew has just finished building a road. the road is 8 kilometers long. if the crew worked for 335 days, how many
elena-s [515]
8/335 km/day
hope this helps
7 0
3 years ago
Marcus has two salary options for his new job.
Lady bird [3.3K]

Answer:

$125

Step-by-step explanation:

5 0
3 years ago
Your science grades are weighted as follows: 35% for tests, 25% for journals, 25% for homework, and 15% for chapter projects. Wh
nexus9112 [7]

Answer:

Third option.

Hope it helped.

4 0
3 years ago
Read 2 more answers
Help plssssssssssssssssssssssssssss
Elenna [48]

Answer:

Step-by-step explanation:

Substituting x and y values into the equations, we can get the equation

y = 7 -3x

slope: -3

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?
    10·1 answer
  • What is the value for f (x) = 4^2x -100 when x = 2
    15·1 answer
  • Students in Mrs. Joshi's English class are assigned chapters of a book to read each week. The graph shows the number of chapters
    8·1 answer
  • How do you figure out miles per hour?
    15·1 answer
  • On June 1st, Lucy & Bros received an order for 500 cupcakes. Lucy delivered the cupcakes to the client on June 25th. A $50 d
    8·1 answer
  • What are common multiples of 7 and 4
    7·1 answer
  • Y = 2x - 3 x + y = 3 What is the solution set?
    5·1 answer
  • I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·1 answer
  • Proportions - 5/10
    14·2 answers
  • Kate already owns 22 necklaces, and additional necklaces are priced at 2 for a dollar. With
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!