A painter can paint 3 walls in one hour. Which graph models a relationship with the same unit rate?

Please help me, I don't understand literally any of this. # 1-6

sergejj [24]

1. y = x
y = 2x - 4

Locate the point of intersection of the 2 graphs. This is the solution set of the graphs, that is: (x, y) = (4, 4).

Solution set: (x, y) = (4, 4)

2. y = - $\frac{1}{2}$ x + 5
y = 3x - 2

Locate the point of intersection of the 2 graphs. This is the solution set of the graphs, that is: (x, y) = (2, 4)

Solution set: (x, y) = (2, 4)

3. y - 2x = 4
y = 2x

Locate the point of intersection of the 2 graphs. The 2 lines are parallel so they do not intersect and therefore no solution set exists for the given set of equations.

Solution set: Does not exist.

4. y - 4x = 8
y = 2(2x +4)

Locate the point of intersection of the 2 graphs. The 2 lines are completely overlapping each other so they intersect intersect at infinite points and therefore infinite solutions exist for the given set of equations.

Solution set: Infinite solutions

5. x + y = 3
y = -3(2x - 1)

Locate the point of intersection of the 2 graphs. This is the solution set of the graphs, that is: (x, y) = (0, 3)

Solution set: (x, y) = (0, 3)

6. -x + y = -2
y = 2

Locate the point of intersection of the 2 graphs. This is the solution set of the graphs, that is: (x, y) = (4, 2)

Solution set: (x, y) = (4, 2)

3 0

3 years ago

Rosie is training for the next football match. She runs around a circular track with a radius of 60 metres how far has Rosie run

harina [27]

Use the equation C = 2<span>πr where r is the radius to find the circumference of the track. That is the perimeter around which she has run:

</span>C = 2<span>πr

C = 2</span><span>π(60 meters)

C = 120</span>π meters <span>≈ 377 meters</span>

4 0

3 years ago

Is (-5,2), (5,2), (0,-3), (3,-8), (-7,4), (-1,-1) a function

Alja [10]

<h3>Answer: Yes it is a function</h3>

Each point listed is of the form (x,y). The x coordinate is always listed first. We dont have any repeat x values, so this is enough to conclude we have a function.

If you wanted to, you could graph each point given on the same coordinate grid. Note how none of the points stack on top of each other. Or put another way, note how it is impossible to draw a single straight line through more than one point graphed. This graph passes the vertical line test.

A function is where plugging in any x value leads to exactly one y value.

If you had two points like (5,2) and (5,7) then the input x = 5 leads to more than one output y = 2 and y = 7 at the same time, making this example not a function.

4 0

3 years ago

A local bank surveyed the status of ASU student accounts and found that the average overdraft was $21.22 with a standard deviati

svlad2 [7]

Answer: the probability of a student being overdrawn by more than $18.75 is 0.674

Step-by-step explanation:

Since the bank overdrafts of ASU student accounts are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = bank overdraft of Asu students.

µ = mean

σ = standard deviation

From the information given,

µ = $21.22

σ = $5.49

We want to find the probability of a student being overdrawn by more than $18.75. It is expressed as

P(x > 18.75) = 1 - P(x ≤ 18.75)

For x = 18.75,

z = (18.75 - 21.22)/5.49 = - 0.45

Looking at the normal distribution table, the probability corresponding to the z score is 0.326

Therefore,

P(x > 18.75) = 1 - 0.326 = 0.674

4 0

3 years ago

Experimental probability and theoretical of spinning an even number?

zhuklara [117]

Answer:

explain?

Step-by-step explanation:

5 0

3 years ago

A painter can paint 3 walls in one hour. Which graph models a relationship with the same unit rate?​

A painter can paint 3 walls in one hour. Which graph models a relationship with the same unit rate?