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pychu [463]
2 years ago
7

How many solutions does the equation −4y + 4y + 2 = 2 have?

Mathematics
2 answers:
Nana76 [90]2 years ago
8 0
<span>Infinitely many because the equation is equal to 0=0</span>
timofeeve [1]2 years ago
4 0
−4y + 4y + 2 = 2
<span> −4y + 4y    = 2 -2
               0 = 0 .  

Anytime you have this format of 0 = 0, just know there are infinitely many.

Any number as a value of y can satisfy the equation.
</span>
Infinitely many
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A bond quote of 82.25 in dollars is equal to?
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<span>A bond quote of 82.25 dollars is equals to:
=> 82.25/100 = 0.8225, this is the decimal value of the given number, now, the place value is ten thousands, thus we will multiply this by 10 000. 8 is tenths, 2 is hundredths, 2 is thousands, and 5 is ten thousands,
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2 years ago
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guapka [62]

the answer is attached below

4 0
2 years ago
What is the maximum number of solutions each of the following systems could have?
Marrrta [24]

Answer:

Two distinct concentric circles: 0 max solutions

Two distinct parabolas: 4 max solutions

A line and a circle: 2 max solution

A parabola and a circle: 4 max solutions

Step-by-step explanation:

<u>Two distinct concentric circles:</u>

The maximum number of solutions (intersections points) 2 distinct circles can have is 0. You can see an example of it in the first picture attached. The two circles are shown side to side for clarity, but when they will be concentric, they will have same center and they will be superimposed. So there can be ZERO max solutions for that.

<u>Two distinct parabolas:</u>

The maximum solutions (intersection points) 2 distinct parabolas can have is 4. This is shown in the second picture attached. <em>This occurs when two parabolas and in perpendicular orientation to each other. </em>

<u>A line and a circle:</u>

The maximum solutions (intersection points) a line and a circle can have is 2. See an example in the third picture attached.

<u>A parabola and a circle:</u>

The maximum solutions (intersection points) a parabola and a circle can have is 4. If the parabola is <em>compressed enough than the diameter of the circle</em>, there can be max 4 intersection points. See the fourth picture attached as an example.

4 0
2 years ago
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A polynomial function has a root of -4 with multiplicity of 4, a root of -1 with multiplicity of 3, and a root of 5 with multipl
Dmitrij [34]

Answer:

To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.


Step-by-step explanation:


A polynomials is an equation with many terms whose leading term is the highest exponent known as degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.


This polynomial has roots -4, -1, and 5. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or the simple touch it and bounce back? The even or odd multiplicity - how many times the root occurs.


In this polynomial:


Root -4 has even multiplicity of 4 so it only touches and does not cross through.


Root -1 has odd multiplicity of 3 so crosses through.


Root 5 has even multiplicity of 6 so it only touches and does not cross through.


Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends point down. All even degree graphs will have this shape.


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7 0
2 years ago
Read 2 more answers
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