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slega [8]
3 years ago
8

Simplify:

Mathematics
1 answer:
OverLord2011 [107]3 years ago
8 0

Step-by-step explanation:

Simplify :

x4−6x3+2x−7+7x3−x+5x2+2−x4

x4−6x3+2x−7+7x3−x+5x2+2−x4

Rearranging and collecting the like terms, we get:

=(x4−x4)+(−6x3+7x3)+5x2+(2x−x)+(−7+2)

=(1−1)x4+(−6+7)x3+5x2+(2−1)x+(−7+2)

=(1)x3+5x2+(1)x−7+2

=x3+5x2+x−5

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Please help with this question !!
mario62 [17]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
What is the interquartile range of the data set? Enter the answer in the box. Key: 1|5 means 15
Aneli [31]
First of all we have to arrange the data in ascending order as shown below:

28, 40, 43, 43, 45, 50, 50

Total number of values = 7

Since the number of values is odd, the median will be the middle value i.e. 4th value which is 43. Median divides the data in two halves:

1st Half = 28, 40, 43
2nd Half = 45, 50, 50

Q1 or the First Quartile is the middle value of the lower or 1st half which is 40.
Q3 or the Third Quartile is the middle value of the upper or second half, which is 50.

IQR or the Inter Quartile Range is the difference of Q3 and Q1.

So, IQR= Q3 – Q1 = 50 – 40 = 10

Thus, IQR for the given data is 10
4 0
3 years ago
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Which statement is true about polynomial 5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7 after it has been fully simplified?
Marina86 [1]

Answer:  3t²(2st⁷ - s⁶ - 2t⁵)

<u>Step-by-step explanation:</u>

5s⁶t² + 6st⁹ - 8s⁶t² - 6t⁷     <em>5s⁶t² and - 8s⁶t² are like terms which = -3s⁶t² when combined</em>

=          6st⁹ - 3s⁶t² - 6t⁷      <em>next, factor out the GCF of 3t²</em>

=      3t²(2st⁷ - s⁶ - 2t⁵)

5 0
3 years ago
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Representatives from the student councils at three area high schools are traveling to the national convention in New York. North
ivann1987 [24]

nshs = sshs+5

wshs = nshh + 6 = sshs + 11

So nshs + wshs + sshs = 3*sshs + 16

So sshs = 10, nshs = 15 and wshs = 21

Answer 15.


8 0
3 years ago
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Anna has a total of 36 goldfish in her aquarium, some are orange and some are black. The number of orange goldfish is 7 more tha
andriy [413]

Answer:

x + y = 36.....Equation 1

x = 7 + 2y...... Equation 2

Step-by-step explanation:

Let the number of:

Orange goldfish = x

Black gold fish = y

Anna has a total of 36 goldfish in her aquarium, some are orange and some are black.

x + y = 36.....Equation 1

The number of orange goldfish is 7 more than twice the number of black goldfish.

x = 7 + 2y...... Equation 2

We can rewrite this as:

x - 2y = 7..... Equation 2

The system of equations below that can be used to describe the number of black and orange goldfish in Anna's aquarium is :

x + y = 36.....Equation 1

x = 7 + 2y...... Equation 2

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2 years ago
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