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Ludmilka [50]
3 years ago
13

Solve for x9(x + 1) = 25 + x

Mathematics
2 answers:
vaieri [72.5K]3 years ago
8 0
When you expand the equation, you will have
9x + 9=25 + x
Next you have to collect like terms
+x will go over the equality sign to become -x. The same applies to +9
9x - x=23 - 9
9x minus x is 8x
8x=14
Divide both sides by 8
x=14/8
You will have 1 6/8
6 is the remainder while 1 is the number of times 8 divided 14.
In decimal, it will be 1.75
Hope that helped. Good luck
Juli2301 [7.4K]3 years ago
5 0
You can solve for X by simplifying both sides of the equation then isolating the variable x=1.533396 , 1.30336
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In an arithmetic​ sequence, the nth term an is given by the formula An=a1+(n−1)d​, where a1
Gnesinka [82]

Answer:

88

Step-by-step explanation:

We are given that in arithmetic sequence , the nth term a_n is given by the formula

A_n=a_1+(n-1)d

Where a_1=first term

d=Common difference

In an geometric sequence, the nth term is given by

a_n=a_1r^{n-1}

Where r= Common ratio

1,4,7,10,..

We have to find 30th term.

a_1=1,a_2=4,a_3=7,a_4=10

d=a_2-a_1=4-1=3

d=a_3-a_2=7-4=3

d=a_4-a_3=10-7=3

r_1=\frac{a_2}{a_1}=\frac{4}{1}=4

r_2=\frac{a_3}{a_2}=\frac{7}{4}

r_1\neq r_2

Therefore, given sequence is an arithmetic sequence because the difference between consecutive terms is constant.

Substitute n=30 , d=3 a=1 in the given formula of arithmetic sequence

Then, we get

a_{30}=1+(30-1)(3)=1+29(3)=1+87=88

Hence, the 30th term of sequence is 88.

5 0
3 years ago
The musical “Rent” boasts there are 525,600 minutes in a year. Verify that this is correct for a 365-day (non-leap year) year.
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Answer:

Verified

Step-by-step explanation:

minutes to hours:

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hours to days:

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so there are 525600 minutes in 365 days. Confirmed

4 0
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Masteriza [31]
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Step-by-step explanation:

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