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Volgvan
3 years ago
8

Which graph shows a system with an infinite number of solutions?

Mathematics
1 answer:
Gennadij [26K]3 years ago
3 0
The top right is the answer
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Round 958,622 to the nearest hundred <br>​
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958,600

Step-by-step explanation:

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Under what operation are the set of integers closed? Explain your answer
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The set of integers is closed under addition, subtraction, and multiplication because when i add, subtract, or multiply any integers, the result is always an integer.
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Plot the zeros of this function:<br><br> f(x) = (x – 1)(x – 7).
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Answer:

\boxed{\mathrm{view \: attachment}}

Step-by-step explanation:

The zeros of a function is where the function crosses the x-axis. The x-intercepts are the zeros of a function.

f(x) = (x - 1)(x - 7)

Let output equal to 0.

0 = (x - 1)(x - 7)

Set factors equal to 0.

x-1=0\\x=1

x-7=0\\x=7

The zeros of the function are x=1 and x=7.

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3 years ago
Nasir has an annual salary of 64,000 and his company pays him twice a month. What is the gross income per paycheck that Nasir re
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3 years ago
1. Assume O P || NM.
ipn [44]

1. Assuming OP || NM, considering the triangle proportionality theorem possible measurements for the segments are: ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units

2. The possible values are decided by assuming  \frac{ON}{LO} = \frac{PM}{LP} = 3 using the triangle proportionality theorem.

3. Another method is applying the AA Similarity Theorem to compare corresponding side lengths of the triangles that are proportional to each other.

<h3>What is the Triangle Proportionality Theorem?</h3>

Triangle proportionality theorem states that if a line is parallel to one of the sides of a triangle intersects two of the other two sides, it divides the two sides into proportional corresponding segments.

1. Assuming that OP || NM, we would apply the triangle proportionality theorem to have the following ratio:

\frac{ON}{LO} = \frac{PM}{LP}

Using the above ratio, we can choose the following possible lengths for the segments:

ON = 3 units

LO = 1 unit

PM = 6 units

LP = 2 units

2. The values are decided assuming that the ratio, \frac{ON}{LO} = \frac{PM}{LP} = 3

This means that the ratio of the proportional segments, irrespective of the their measurement should give you an assumed equal ratio of 3:1.

Therefore, since:

\frac{3}{1} = 3\\\\\frac{6}{2} = 3

The measurements, ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units are therefore possible measurements.

3. Using the AA Similarity Theorem to prove that ΔLPO ≅ ΔLMN, the corresponding sides of both triangles will be proportional.

LP/LM = LO/LN = PO/MN

We can use this to choose possible measurements while assuming a ratio between the proportional sides of both triangles.

Let's assume that: LP/LM = LO/LN = PO/MN = 1/4

Let,

LO = 1 unit

LN = 4 units

Therefore, ON = LN - LO = 4 - 1 = 3 units.

Same way the other possible measures can be gotten provided a ratio is assumed.

Learn more about triangle proportionality theorem on:

brainly.com/question/24804474

4 0
3 years ago
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