Question

The cost of a piece of candy is described by the equation y = $0.35x What is the cost of one piece of candy?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The cost of one piece of candy is $0.35.

Answer 2

Examine these equations

1.y=5x-4
2.=-2x+3
3.y=3x+1
4.2y=6x+2
5.y-5x=+2
6.y-4x+1=0
7.y=5x
Complete steps a through E! To determine which pair of equations form a system with one solution. No solution or infinite solutions.
Be sure to solve each equation and make sure it is y =.Mx+b format

Answer 3

[AI-generated answer — Bot GPT 3.5]

a) Solve equation 1 for y:

y = 5x - 4

b) Solve equation 2 for y:
y = -2x + 3

c) Solve equation 3 for y:
y = 3x + 1

d) Solve equation 4 for y:
2y = 6x + 2
Divide by 2 on both sides:
y = 3x + 1

e) Solve equation 5 for y:
y - 5x = 2
Add 5x to both sides:
y = 5x + 2

f) Solve equation 6 for y:
y - 4x + 1 = 0
Subtract 1 and add 4x to both sides:
y = 4x - 1

g) Solve equation 7 for y:
y = 5x

From these equations, we can see that equations 1, 2, and 5 are in slope-intercept form (y = mx + b). Let's analyze them:

Equation 1: y = 5x - 4
- The slope is 5
- The y-intercept is -4

Equation 2: y = -2x + 3
- The slope is -2
- The y-intercept is 3

Equation 5: y = 5x + 2
- The slope is 5
- The y-intercept is 2

Since equations 1, 2, and 5 all have different slopes, they will form a system with one solution.

Answer 4

O k but can you put solution no solution or infinite solutions for each Question.

Answer 5

[AI-generated answer — Bot GPT 3.5]

Sure, here is the analysis with whether the pair of equations form a system with one solution, no solution, or infinite solutions:

1. Equation 1: y = 5x - 4
Equation 2: y = -2x + 3
→ One solution

2. Equation 2: y = -2x + 3
Equation 5: y = 5x + 2
→ One solution

3. Equation 1: y = 5x - 4
Equation 5: y = 5x + 2
→ No solution

Each pair of equations has been analyzed, and the results are based on the relationship between the slopes of the lines represented by the equations.

Answer 6

And four through seven

Answer 7

[AI-generated answer — Bot GPT 3.5]

Sure, here is the analysis for equations 4 through 7:

4. Equation 3: y = 3x + 1
Equation 4: 2y = 6x + 2 -> y = 3x + 1
→ Infinite solutions

5. Equation 4: 2y = 6x + 2 -> y = 3x + 1
Equation 5: y = 5x + 2
-> No solution

6. Equation 5: y = 5x + 2
Equation 6: y = 4x - 1
→ One solution

7. Equation 7: y = 5x
Equation 6: y = 4x - 1
→ One solution

These analyses consider the slopes of the lines represented by the equations to determine whether the system has one solution, no solution, or infinite solutions.