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
expeople1 [14]
3 years ago
10

One equation in a system of linear equations is y=2x+1

Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0

Step-by-step explanation:

<u>Given equation:</u>

  • y = 2x + 1

a. write a second equation so that (1,3) is the only solution of the system

To have only one solution the equation must have a different slope.

<u>Let it be 10, then the y-intercept of y = 10x + b is:</u>

  • 3 = 1*10 + b ⇒ b = -7

<u>And the equation:</u>

  • y = 10x - 7

b. Write a second equation so that the system has infinitely many solutions

<u>To have infinitely many solutions, both equations must be same:</u>

  • y = 2x + 1

c. Write a second equation so that the system has no solutions.

<u>To have no solutions, the equations must have same slope but different y-intercepts:</u>

  • y = 2x + 5
You might be interested in
Which statements are true about the polynomial 4x3 – 6x2 + 8x – 12?
olga2289 [7]

1. correct- factor: 4

2. correct- factor: 4

3. Incorrect- The polynomial is not prime, and the factored polynomial is 4(2x-3)

4. Incorrect

7 0
3 years ago
When the outliers are removed, how does the mean change? (2 points)
quester [9]

Answer:

Option 3: mean increases by 3

Step-by-step explanation:

Current mean:

[50+76+78+2(79)+80+81+2(82)+83] ÷ 10

= 77

Without the outliers:

[76+78+2(79)+80+81+2(82)+83] ÷ 9

= 80

80 - 77 = 3 (increase)

5 0
3 years ago
What is the equation of a parabola with a directrix x = 8 and focus (-8,0)
andrew11 [14]
From the given information, the parabola is a sideways parabola facing left with vertex at the origin.
Required equation is (y - 0)^2 = 4p(x - 0)
y^2 = 4px

But 0 + p = -8 => p = -8

Therefore, required equation is y^2 = 4(-8)x
y^2 = -32x
7 0
3 years ago
Subscribe to my channel, its called common arts and has a purple logo, and says common arts on it. It's mainly math, but I will
Natalka [10]

Answer:

ok

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
How do you multiply the expression (3x+2)(4x-7)
Leona [35]

Answer:

You "FOIL" (First, Outer, Inner, Last).

12x^{2}  - 13x - 14

Step-by-step explanation:

You "FOIL" (First, Outer, Inner, Last). Basically, you have to multiple each term by each of the other terms.

(3x+2)(4x-7)

(3x)(4x) + (17)(3x) + (2)(4x) + (2)(-7)

12x^2 - 21x + 8x - 14

12x^2 - 13x - 14

3 0
3 years ago
Read 2 more answers
Other questions:
  • 9 ^ (- 1/2) + 25 ^ (- 1/2) + 32 ^ (3/5)<br> Evaluate
    10·2 answers
  • Tia is making strawberry lemonade for a baseball tournament. The recipe calls for 2
    6·2 answers
  • Graph the line that represents this equation 3x - 4y = 8
    12·1 answer
  • Plz help I need to pass math!!!!!
    14·2 answers
  • Write a quadratic equation in standard form such that -5 is it's only solution.
    6·1 answer
  • URGENT!!! Which one of these relationships is different than the other three?
    15·1 answer
  • an amount of R3000, Is invested to three years at simple interest rate and it earned R905 interest. determine the simple interes
    12·1 answer
  • Find the percent of change for #1-5
    14·1 answer
  • Amy knits 1/10 of a scarf in 4/5 of an hour. What fraction of scarf can Amy knit in 1 hour
    7·1 answer
  • Create the smallest cone possible with the tool, and record the values of the radius, height, and volume in terms of . Then scal
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!