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Zina [86]
3 years ago
10

What are the roots of the polynomial equation x^2-x72=0

Mathematics
1 answer:
Tom [10]3 years ago
8 0
I hope this helps you



x^2-x-72=0


x -9


x +8



(x-9)(x+8)=0



x=9



x= -8
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The sum of twice a number and 4 is equal to the sum of the number and 8
zalisa [80]

Answer:

4

Step-by-step explanation:

Variable: X = Unknown Number

2x + 4 = x + 8

2x - x = 8 - 4

x = 4

Check:

2(4) + 4 = 4 + 8

8 + 4 = 12

12 = 12

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3 years ago
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A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following
kiruha [24]

Answer:

<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

1,2,4,8,16,32,.....

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

S_n=\dfrac{a(r^n-1)}{r-1}

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}

\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}

\Rightarrow 90\times 10^{12}\le 2^n-1

\Rightarrow 2^n\ge 90\times 10^{12}+1

\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)

\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)

\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}

\Rightarrow n \ge 46.4

\Rightarrow n\approx 47


8 0
3 years ago
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Soloha48 [4]

Answer:

Option: h\leq 16

Step-by-step explanation:

<u>Looking for key words in the problem:</u>

"At Most" represents important key words, meaning the maximum amount of hotdogs that are at the barbecue.

<u>Inequality:</u>

h\leq 16

h \leq 16 represents the maximum amount of hotdogs that has to be at the barbecue, also represents less than 16 can be cooked.

3 0
2 years ago
If the 6th term of an arithmetic progres- sion is 11 and the first term is 1, find the common difference.​
Darina [25.2K]

Answer:

2

Step-by-step explanation:

An arithmetic progression with first term a and common difference d has the following first 6 terms:

a, a + d, a + 2d, a + 3d, a + 4d, a + 5d

We are given a = 1 and a + 5d = 11.

1 + 5d = 11

5d = 10

d = 2

Answer: The common difference is 2.

3 0
2 years ago
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