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Maru [420]
3 years ago
11

How do you solve -7x+(-21)=41

Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Answer:

x = -62/7

Step-by-step explanation:

-7x+(-21)=41

-7x -21 =41

Add 21 to each side

-7x-21+21 = 41+21

-7x = 62

Divide by -7

-7x/-7 = 62/-7

x =- 62/7

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The 5th term in a geometric sequence is 40. The 7th term is 10. What is (are) the possible value(s) of the 4th term?
Lena [83]

Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

a(n)=ar^{n-1}

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term

  • Given, 5th term is 40, we can write:

ar^{5-1}=40\\ar^4=40

  • Given, 7th term is 10, we can write:

ar^{7-1}=10\\ar^6=10

We can solve for a in the first equation as:

ar^4=40\\a=\frac{40}{r^4}

<em>Now we can plug this into a of the 2nd equation:</em>

<em>ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}</em>

<em />

<em>Let's solve for a:</em>

<em>a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640</em>

<em />

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

<u>Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:</u>

ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80

possible values of 4th term is 80 & - 80

3 0
3 years ago
Compare and contrast the relative frequency for the whole table in part B with the two-way frequency table given in the activity
PIT_PIT [208]

The way to convert counts into relative frequencies in a Two Way Relative Frequency Table is to divide the count by the total number of items

<h3>What is a Frequency Table?</h3>

This refers to the depiction of the number of times in which an event occurs in the form of a table.

Hence, when a two-way frequency table is used, it shows the visual representation of the possible relationship between different sets of data.

Please note that your question is incomplete as you did not provide the frequency table needed and also the trends and generalizations to find, so a general overview was given.

Read more about frequency tables here:

brainly.com/question/12134864

#SPJ1

3 0
2 years ago
A car is 120 inches long. A truck is 60% longer than the car.<br><br> How long is the truck
ahrayia [7]

Answer:

250.8 is the answer

8 0
3 years ago
Can someone plz help me I’m being timed!!!!
nikklg [1K]

Answer:

49  and 58

Step-by-step explanation:

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7 0
2 years ago
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Use the place-valué charro to quite a Numbers in the table that is 1/10 of given Number?
Lana71 [14]
This is the answer for the Use the place-valué charro to quite a Numbers in the table that is 1/10 of given Number?

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