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
ozzi
3 years ago
6

Fkr what value k does the system of equations x +2y =3 and 5x+ky+7=0 have no solution ​

Mathematics
1 answer:
swat323 years ago
6 0

Step-by-step explanation:

Given system of linear equations are:

x + 2y = 3\\\therefore\: x + 2y - 3 = 0......... (1)\\\& \:5x + ky + 7 = 0........ (2)\\

Equating equations (1) & (2) by

a_1x+b_1y + c_1=0\: \&\:\\ a_2x+b_2y + c_2=0

We find:

a_1=1, \:\:b_1=2, \:\: c_1=-3\: \\\&\:\\ a_2=5, \:\:b_2=k, \:\:  c_2=7\\

The condition for system of linear equations having no solution is given as:

\frac{a_1}{a_2}  =\frac{b_1}{b_2}  \neq\frac{c_1}{c_2} \\\\\therefore \frac{1}{5}  =\frac{2}{k}  \neq\frac{-3}{7} \\\\\therefore \frac{1}{5}  =\frac{2}{k} \\\\\therefore k = 5\times 2\\\\\huge \purple {\boxed {\therefore k = 10}}

Thus, for k = 10 given system of linear equations have no solution.

You might be interested in
The proportion of junior executives leaving large manufacturing companies within three years is to be estimated within 3 percent
Leona [35]

Answer: 709

Step-by-step explanation:

The formulas we use to find the required sample size :-

1. n=(\dfrac{z^*\cdot \sigma}{E})^2

, where \sigma = population standard deviation,

E = Margin of error .

z* = Critical value

2. n=p(1-p)(\dfrac{z^*}{E})^2 , where p= prior estimate of population proportion.

3. If prior estimate of population proportion is unavailable , then we take p= 0.5 and the formula becomes

n=0.25(\dfrac{z^*}{E})^2

Given : Margin of error : E= 3% =0.03

Critical value for 95% confidence interval = z*= 1.96

A study conducted several years ago revealed that the percent of junior executives leaving within three years was 21%.

i.e. p=0.21

Then by formula 2., the required sample size will be :

n=0.21(1-0.21)(\dfrac{1.96}{0.03})^2

n=0.21(0.79)(65.3333)^2

n=(0.1659)(4268.44008889)\\\\ n=708.134933333\approx709 [Round to the next integer.]

Hence, the required sample size of junior executives should be studied = 709

4 0
3 years ago
If 12 men earn $810 in 10 days how much will 14 men earn in 8 days, if the daily wage is the same for each man
kogti [31]
1 man earns  810 / 12 = $67.5 in 10 days
by proportion 1 man will earn 0.8 *  67.5 = $54 in 8 days

So 14 men will earn 54 * 14 =  $756 in 8 days.
5 0
2 years ago
Which table shows a proportional relationship between x and y
Anettt [7]

Answer: A, and their proportional relationship is 5

Step-by-step explanation:

7 0
3 years ago
Please help me with number 7 :)
Evgen [1.6K]
The plants used 17440 Calories of energy.
3 0
3 years ago
Read 2 more answers
PLEASE HELP ILL GIVE 49 POINTS! THANKS!<br><br><br> Show work
NemiM [27]

Answer:

y = -2x+11

Step-by-step explanation:

If we have a slope and a line, we can use the slope intercept form of a line

y-y1 = m(x-x1)

where (x1,y1) is the point and m is the slope.


Substitute in what we know

y-5 = -2 (x-3)

We want it in slope intercept form which is y = mx+b

Distribute the -2

y-5 = -2x+6

Add 5 to each side

y-5+5 = -2x +11

3 0
2 years ago
Read 2 more answers
Other questions:
  • What is (-2 - -6 ÷ -2) × 12 ÷ -6 ?
    13·1 answer
  • The angles in triangle are in the ratio of 2:2:4. Find the exterior angle adjacent to the largest angle.
    12·1 answer
  • Convert 1.2 gram to kilogram
    8·2 answers
  • Helen Ming receives a travel allowance of $230 each week from her company for time away from home. If this allowance is taxable
    10·1 answer
  • Maria put two angels together to form a straight angle. one angle measures 112. what is the measure of the other angle?
    5·2 answers
  • M=Q/t <br>Solve for Q (show work)​
    11·1 answer
  • Which of the following is equivalent to 30^1/2?<br><br> 1/30^2<br> 15<br> √30<br> 1/√30
    12·1 answer
  • Draw a number line and mark all described points. a −1≤x≤3
    10·1 answer
  • What is the right way to work this problem? <br><br>(- -3 +12)
    7·1 answer
  • Kyra went to the grocery store on Monday and bought 5 apples and 2 oranges for a total of $3.45. On Thursday she bought 3 orange
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!