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Temka [501]
3 years ago
7

Can a pair of numbers have more than one common factor?

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
4 0
Yes! For example, 10 and 20 have 1, 2, 5, & 10 in common ^.^
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10. Which transformations result in a preimage and image with opposite orientations?
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Reflections and glide reflections both give you a transformation where the preimage and image have opposite orientations.
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3 years ago
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Let a, b, and c be real numbers where a =/b =/c =/ 0. Which of the following functions could represent the graph below?
bazaltina [42]

Answer:

f(x)=x^{2}(x-a)^{2}(x-b)^{4}(x-c)

Step-by-step explanation:

From the graph, we can conclude the following points:

1. Number of zeros = 4 ( As the graph intersects or touches the x axis at 4 points.)

2. Number of turning points are 6. ( As there are 3 minimums and 3 maximums)

3. Number of zeros with even powers are 3. ( As the graph touches the x axis at 3 points)

Among all the four options, only the first option fulfills all the above points.

f(x)=x^{2}(x-a)^{2}(x-b)^{4}(x-c)

The above function has 4 zeros at x=0,a,b,c

The above function has 3 even zeros x^{2},(x-a)^{2},(x-b)^{4}

Now, number of turning points for the above function is given as:

Turning points = Number zeros + Number of even zeros - 1 = 4 + 3 - 1 = 6

Therefore, the correct option is option 1.

6 0
4 years ago
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Help ASAP marking as BRAINLIST ace only
olga2289 [7]

Answer:

MN

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A cord is a line that has two points on the outer-rim of the circle, but does NOT go through the center

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Your English teacher has decided to randomly assign poems for the class to read. The syllabus includes four poems by Shakespeare
Tresset [83]
The probability of event A and B to both occur is denoted as P(A ∩ B) = P(A) P(B|A). It is the probability that Event A occurs times the probability that Event B occurs, given that Event A has occurred.

So, to find the probability that you will be assigned a poem by Shakespeare and by Tennyson, let Event A = the event that a Shakespeare poem will be assigned to you; and let Event B = the event that the second poem that will be assigned to you will be by Tennyson.

At first, there are a total of 13 poems that would be randomly assigned in your class. There are 4 poems by Shakespeare, thus P(A) is 4/13.
After the first selection, there would be 13 poems left. Therefore, P(B|A) = 2/12
Based on the rule of multiplication,
P(A ∩ B) = P(A) P(B|A)P(A ∩ B) = 4/13 * 2/12
P(A ∩ B) = 8/156
P(A ∩ B) = 2/39

The probability that you will be assigned a poem by Shakespeare, then a poem by Tennyson is 2/39 or 5.13%.
6 0
4 years ago
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