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Butoxors [25]
3 years ago
12

Write a rule for the nth term of the geometric sequence: a3=54, a6=1458

Mathematics
1 answer:
Shalnov [3]3 years ago
3 0

Answer:

tn = -1350 + 468n  

Step-by-step explanation:

First, we need to find the difference.

1458 - 54 / 6 - 3

= 468

Now we need to find the first term.

t3 = t1 + (n - 1) (d)

54 = t1 + (3 - 1)(468)

54 = t1 + (2)(468)

54 = t1 + 936

-882 = t1

The rule is:

tn = -882 + (n-1) (468)

tn = -882 + 468n - 468

tn = -1350 + 468n  

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Mrs. Nixon went to the store to buy candy for her
AnnyKZ [126]

Answer:

$2.25

Step-by-step explanation:

First, we (always) highlight key details. In this case, we would highlight that th candy is 90 cents per pound, and the she bought 2.5 pounds. Now, we just multiply 2.5 by .90, and boom! We get $2.25. Mrs. Nixon spent $2.25 (or two dollars and twenty-five cents) on candy bars.

8 0
3 years ago
Translate then Solve for the variable:
Sergeu [11.5K]

The linear equation will be 2x + 10 = 5(x - 6). Then the value of the variable x will be 23.33.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Translate then Solve for the variable:

The sum of two times a number and 10 is five times the difference between a number and six.

Let the number be x.

Then the equation will be

2x + 10 = 5(x - 6)

Then the value of x will be

2x + 10 = 5x - 60

5x - 2x = 60 + 10

      3x = 70

        x = 23.33

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

8 0
2 years ago
Need help on this PLEASE It is due at 11:40!!! Today!
FrozenT [24]

Answer:

X= 75, Y=30 there you go!

Step-by-step explanation:

5 0
2 years ago
Solve the system using elimination.
Shalnov [3]

Answer:

After simplifying we get (x,y) as (1,3).

Step-by-step explanation:

Given:

x+7y=22,

x-7y=-17

We need to use elimination method to solve the and simplify the equations.

Solution;

Let x+7y=22 ⇒ equation 1

Also Let 4x-7y=-17⇒ equation 2

Now by solving the equation we get;

first we will Add equation 2 from equation 1 we get;

(x+7y)+(4x-7y)=22+(-17)\\\\x+7y+4x-7y=22-17\\\\5x=5

Now Dividing  both side by 5 using division property of equality we get;

\frac{5x}{5}=\frac{5}{5}\\\\x=1

Now Substituting the vale of x in equation 1 we get;

x+7y=22\\\\1+7y=22

subtracting both side by 1 using subtraction property of equality we get;

1+7y-1=22-1\\\\7y=21

Now Dividing  both side by 7 using division property of equality we get;

\frac{7y}{7}=\frac{21}{7}\\\\y=3

Hence we can say that, After simplifying we get (x,y) as (1,3).

4 0
3 years ago
How do I solve : 4e ^ 0.1x = 60
gladu [14]
X = 10 1n (15)

In decimal form it's 27.0805201
4 0
3 years ago
Read 2 more answers
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