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
Mademuasel [1]
2 years ago
11

Find all real solutions: x² - x - 12 = 0

Mathematics
1 answer:
Andrej [43]2 years ago
8 0
Factor the equation. Remember the value should add to the b value and multiply to the c value.

x^2-x-12= 0
(x-4)(x+3)=0

Use the zero product property to find roots
x-4=0
x=4

x+3=0
x=-3

Final answer: x=-3, x=4
You might be interested in
A car is traveling at 20.0 m/s, and the driver sees a traffic light. turn red. After 0.530 s (the reaction time), the driver app
slava [35]
Before the driver applies the brakes ( with the reaction time ):
d 1 = v0 · t = 20 m/s · 0.53 s = 10.6 m
After that: 
v = v0 - a · t1  
0 = 20 m/s - 7 · t1
7 · t1 = 20
t1 = 2.86 s
d 2 = v 0 · t1 - a · t1² / 2
d 2 = 20 m/s · 2.86 s - 7 m/s² · (2.86 s)²/2 = 57.2 m - 28.6 m = 28.6 m
d = d 1 + d 2 = 10.6 m + 28.6 m = 39.2 m
Answer: the stopping distance of a car is 39.2 m.
5 0
3 years ago
Search cos jk and tan jk knowing that sin jk = 8/3
aleksley [76]

Answer:

cosjk = √55 i/3

tanjk = 8/√55 i

Step-by-step explanation:

Given

sin jk = 8/3

According to SOH CAH TOA

Sin theta = opposite/hypotenuse = 8/3

Opposite = 8

hypotenuse = 3

Get the adjacent using the pythagoras theorem

hyp² = opp²+adj²

adj² = hyp² - opp²

adj² = 3² - 8²

adj² = 9-64

adj² = -55

adj = √-55

adj = √55 i (i = √-1)

Get cosjk

cosjk = adj/hyp

cosjk = √55 i/3

Get tanjk

tanjk = opp/adj

tanjk = 8/√55 i

3 0
3 years ago
A company establishes a fund of 120 from which it wants to pay an amount,C, to any of its 20 employees who achieve a high-perfor
Leno4ka [110]

Answer:

C=120/2=60

Step by step Explanation'

To solve this problem, we will need to apply trial-and-error calculation with the binomial distribution, even though it appears like Central Limit Theorem but it's not.

For us to know the value of C , we will look for a minimum integer such that having 'n' number of high performance level of employee has the probability below 0.01.

Determine the maximum value of C, then the maximum value that C can have is 120/n

Let us represent X as the number of employees with high performance with a binomial distribution of

P =0.02( since the percentage of chance of achieving a high performance level is 2%)

n = 20 ( number of employees who achieve a high performance level)

The probability of X= 0 can be calculated

P( X= 0) = 0.98^n

P(X=0)=0.98^20

P(X=0)=0.668

P(X=1)=0.02*20*0.98^19

P(X=1)=0.272

P(X=2)=0.02^2*20*0.98^18

P(X=2)=0.053

Summation of P( X= 0)+ P( X= 1)+P( X= 2) will give us the value of 0.993 which is greater than 0.99( 1% that the fund will be inadequate to cover all payments for high performance.)

BUT the summation of P( X= 0)+ P( X= 1) will give the value of 0.94 which doesn't exceed the 0.99 value,

Therefore, the minimum value of integer in such a way that P(X >2) is less than 0.01 have n= 2

then the maximum value that C can have is 120/n

C=120/2=60

7 0
3 years ago
X+3y=5
DerKrebs [107]

Answer:

That all the answer  hope i helped


8 0
2 years ago
Read 2 more answers
What is the answer to 9.2 x 0.3​
zlopas [31]

Answer:

2.76

Step-by-step explanation:

smort

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the standard form of 1.46e-6
    10·2 answers
  • Solve the equation, 4 - (x + 1) = 6.
    13·1 answer
  • Find a common denominator for the following fraction pairs
    8·2 answers
  • Factorise completely 2y^2-4y
    6·2 answers
  • Please do the question. If you don't know don't answer!
    9·2 answers
  • Using the arithmetic sequence 7 10 13 16 find the 6th term of the sequence ​
    9·1 answer
  • When rounding to the nearest hunderth, which numbers below will round to 187.55? Select all that apply
    10·1 answer
  • The area of the base and total surface area of a square based solid pyramid are 144 sq. cm and 384 sq cm respectively. What will
    7·1 answer
  • ((454 x 344)/4) + 4854<br> Solve order of operations
    7·1 answer
  • Another day, another math problem 3
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!