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
Verdich [7]
3 years ago
7

Which values, when placed in the box, would result in a system of equations with no solution? Check all that apply.

Mathematics
2 answers:
son4ous [18]3 years ago
8 0

For this case we have the following system of equations:

y = -2x + 4\\6x + 3y =

Rewriting equation 1 we have:

2x + y = 4

Therefore, the equivalent system is:

2x + y = 4\\6x + 3y =

The system will have no solution, if we write equation 2 as a linear combination of equation 1.

Therefore, since both lines have the same slope, they are parallel.

Parallel lines do not intersect when they have different cut points.

Therefore, there is no solution for:

-12, -4, 0, 4

The system has inifinites solutions for:

12

This is because the lines intersect at all points in the domain.

Answer:

The values, when placed in the box, would result in a system of equations with no solution are:

A: -12

B: -4

C: 0

D: 4

Sav [38]3 years ago
3 0

Answer:

Thus, option (a), (b) , (c) , (d) are correct.

The system will have no solution for all values except 12.

Step-by-step explanation:

 Given a system of equation y = –2x + 4  and 6x + 3y = ?

We have to check for which value the '?'  would result in a system of equations with no solution.

Consider a system of equation  a_1x+b_1y+c_1=0 \\\\a_2x+b_2y+c_2=0

For the system to have no solution the condition is,

\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}

For the given system of equation ,

Let unknown quantity be v.

y = –2x + 4   ⇒ 2x +y - 4 = 0  

and 6x + 3y = v ⇒  6x + 3y - v =0

On comparing, we get,

a_1=2 , b_1=1,c_1=-4\\\\\a_2=6,b_2=3,c_3=-v

Substitute the values in condition for no solution , we get ,

\frac{2}{6}=\frac{1}{3}\neq \frac{-4}{-v}

Consider second and third ratio, we get,

\frac{1}{3}\neq \frac{-4}{-v}

Solve for v , we get,

\frac{1}{3}\neq \frac{-4}{-v} \\\\ \Rightarrow v \neq 12  

Thus, for all values v except v = 12

The system will have no solution

at v = 12 the system will have infinite many solution.

Thus, option (a), (b) , (c) , (d) are correct.

You might be interested in
Complete the following sentence:
gayaneshka [121]
You can verify the zeros of the function y=x2+6x-7 by using a graph and finding where the graph  C. <span>C. crosses the x-axis . Finding the zeros mean equating the equation to 0 or y =0. When y =0, this is equal to x-axis. C. is the answer to the problem given above. </span>
4 0
3 years ago
5. A new car is offered for lease for $291 per month for
Elodia [21]

Answer: B

$10,390.75

Step-by-step explanation:

Given that the lease = $291 per month

Lease pay = 291 × 24 = $6984

Time = 24 months

down payment = $458.

The lease allows for 12,000 miles per year and includes a $0.35 per mile charge for miles driven in excess of that amount. 

For the car to be driven a total of 32,425 miles. 

Excess = 32425 - 24000 = 8425 miles

Charges = 0.35 × 8425 = $2948.75

The cost for two years for this vehicle will be

2948.75 + 458 + 6984 = $10390.75

4 0
3 years ago
PLEASE HELP ASAP!!<br> A<br> B<br> C<br> D
Zepler [3.9K]

Answer:

A

Step-by-step explanation:

Just plug numbers and it will give you graph attributes

7 0
2 years ago
2х - Зу = 32<br> x + 4у = -20<br><br><br> solve the system of equations
ANTONII [103]
Answer: x=68/11 and y=-72/11


Steps:

2(x+4y=-20)

2x+8y=-40

2x - 3y = 32
- 2x + 8y = -40

-11y=72

y=-72/11


x + 4(-72/11) = -20

x - 288/11 = -20

x=68/11
5 0
2 years ago
I need to understand the solution
vovangra [49]

Answer:

7/15 is your answer

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • 6 2/3 divided by 1/5
    6·2 answers
  • What is the greatest common factor of 20 and 36?
    12·2 answers
  • On a day wilderness expedition you'll need to heat of water to the boiling point each day. The air temperature will average . Yo
    11·1 answer
  • What is the measurement of the third angle of a triangle if the first two angles measure 63 degrees and 87 degrees?
    6·2 answers
  • What's a function in algebraic equations?
    13·2 answers
  • HELP!!<br>What is the surface area of this shape?​
    14·1 answer
  • There are 7 red marbles, 7 blue marbles, 7 yellow marbles, and 7 green marbles in a bag. If a person randomly selects 1 marble f
    8·1 answer
  • 4) Louise stops at the gift store to buy a souvenir of the Statue of Liberty. THe original
    11·2 answers
  • What is the general equation of a sine function with an amplitude of 2, a period of Pi and a horizontal shift of Pi units? y = 2
    15·1 answer
  • What’s the length of three pieces of pipe if they all equal 72m
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!