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photoshop1234 [79]
2 years ago
15

Explain why you cannot find the intersection points of the two lines shown below. Give both an algebraic reason and a graphical

reason. y=4x+1 and y= 4x+10

Mathematics
1 answer:
Art [367]2 years ago
5 0

Answer:

m_1 = m_2 = 4

Step-by-step explanation:

Given

y = 4x + 1

y = 4x + 10

Required

Show that these two lines have no point of intersection

The general equation of a line is

y = mx + b

Where m represents slope

In y = 4x + 1

m = 4

Similarly; in y = 4x + 10

m = 4

Since the slope of both lines are equal;

m_1 = m_2 = 4

<em>This implies that the lines are parallel and parallel lines have no point of intersection</em>

<em></em>

<em>See Attachment for Graph</em>

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Tickets to a show cost $5.50 for adults and $4.25 for students. A family is purchasing 2 adult tickets and 3 student tickets. If
larisa [96]

Answer:

Step-by-step explanation:

The cost of an adult ticket to the show is $5.5

The cost of a student ticket to the show is $4.25

A family is purchasing 2 adult tickets and 3 student tickets. This means that the total cost of 2 adult tickets would be

2 × 5.5 = $11

It also means that the total cost of 3 student tickets would be

3 × 4.25 = $12.75

The total cost of 2 adult tickets and 3 student tickets would be

11 + 12.75 = $23.75

If the family pays $25, the exact amount of change they should receive is

25 - 23.75 = $1.25

5 0
2 years ago
Jim is building a rectangular deck and wants the length to be 1 ft greater than the width. what will be the dimensions of the de
Travka [436]
Let x = width
x+1 is then the length

2x+2(x+1)=66
2x+2x+2=66
4x=64
x=16
deck will be 16x17, nice for a BBQ. :)
3 0
1 year ago
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is
dezoksy [38]
The answer is the test contains 10 3pt questions and 14 5 pt questions. Any questions please just ask!!! thank you!
8 0
1 year ago
Read 2 more answers
The product of two consecutive positive integers is 1,332. Explain how you can write and solve a quadratic equation to find the
taurus [48]
Product of two consecutive integer so this mean that x and y but y = x+1 than

x(x+1)=1332

x^2 +x -1332 =0  so bc. you get 36*37=1332 and 37x-36x=x so you can rewriting this quadratic factorized completlie 

x^2 +x -1332 = 0

(x+37)(x-36)=0

x+37=0

x=-37 so the larger integer result that will be 37 
9 0
2 years ago
Read 2 more answers
The grade point average (GPA) of the students at Lakeview High School is normally distributed with a mean of 3.1 and a standard
Morgarella [4.7K]
Approximately 1718 have a score within that range.

We calculate the z-score for each end of this spectrum:

z = (X-μ)/σ = (2.5-3.1)/0.3 = -0.6/0.3 = -2

Using a z-table (http://www.z-table.com) we see that the area to the left of, less than, this z-score is 0.0228.

For the upper end:
z = (3.7-3.1)/0.3 = 0.6/0.3 = 2

Using a z-table, we see that the area to the left of, less than, this z-score is 0.9772.

The probability between these is given by subtracting these:
0.9772 - 0.0228 = 0.9544.

This means the proportion of people that should fall between these is 0.9544:
0.9544*1800 = 1717.92 ≈ 1718
4 0
1 year ago
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