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Finger [1]
2 years ago
15

[(3x-2)(x+6)]-[(x-1)(2x)]=103 steps

Mathematics
1 answer:
yaroslaw [1]2 years ago
4 0

Let's solve your equation step-by-step.

(3x−2)(x+6)−(x−1)(2x)=103

Step 1: Simplify both sides of the equation.

x2+18x−12=103

Step 2: Subtract 103 from both sides.

x2+18x−12−103=103−103

x2+18x−115=0

Step 3: Factor left side of equation.

(x−5)(x+23)=0

Step 4: Set factors equal to 0.

x−5=0 or x+23=0

x=5 or x=−23

Answer:

x=5 or x=−23

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MAXImum [283]

Answer:

0.5

Step-by-step explanation:

First find the mean of the data

3+4+4+5 = 16

16/4 = 4

Find the distance of each data to the mean

4-3 =  1

5-4= 1

4-4 = 0

4-4 = 0

Now find the mean of those

1+1+0+0 = 2

2/4

MAD = 0.5

8 0
3 years ago
You and your friend each start a car-washing service. you spend $25 on supplies and charge $10 per car. your friend spends $55 o
lakkis [162]
Let x be the number of cars. We will find out how many cars you have to wash to make as much money as your friend:
10x - 25= 13x - 55 Add 25 on both sides and subtract 13x, also both sides:
3x = -30 Now divide both sides by -3:
x= 10 cars you have to wash.

7 0
4 years ago
729 divided 10 to the 3rd power
grin007 [14]

Answer:

0.729

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Can someone explain what geometric sequences are?
Fed [463]

Explanation:

A sequence is a list of numbers.

A <em>geometric</em> sequence is a list of numbers such that the ratio of each number to the one before it is the same. The common ratio can be any non-zero value.

<u>Examples</u>

  • 1, 2, 4, 8, ... common ratio is 2
  • 27, 9, 3, 1, ... common ratio is 1/3
  • 6, -24, 96, -384, ... common ratio is -4

___

<u>General Term</u>

Terms of a sequence are numbered starting with 1. We sometimes use the symbol a(n) or an to refer to the n-th term. The general term of a geometric sequence, a(n), can be described by the formula ...

  a(n) = a(1)×r^(n-1) . . . . . n-th term of a geometric sequence

where a(1) is the first term, and r is the common ratio. The above example sequences have the formulas ...

  • a(n) = 2^(n -1)
  • a(n) = 27×(1/3)^(n -1)
  • a(n) = 6×(-4)^(n -1)

You can see that these formulas are exponential in nature.

__

<u>Sum of Terms</u>

Another useful formula for geometric sequences is the formula for the sum of n terms.

  S(n) = a(1)×(r^n -1)/(r -1) . . . . . sum of n terms of a geometric sequence

When |r| < 1, the sum converges as n approaches infinity. The infinite sum is ...

  S = a(1)/(1-r)

8 0
3 years ago
Maria's family drove 140 mi to her grandparents' house and averaged 56 ​ mi/h ​ on the way there. On the return trip, they avera
GaryK [48]

Answer: 5.3 Hours


Step-by-step explanation: 140 mi there at 56 mi per hour would be 2.5 hours. Then back 140 mi at 50 mi/h would be 2.8. 2.5 plus a 2.8 is 5.3 hours


4 0
3 years ago
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