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scoray [572]
2 years ago
14

How many solutions exist for the given equation? 12x + 1 = 3(4x + 1) – 2

Mathematics
1 answer:
lubasha [3.4K]2 years ago
6 0

Answer:

3=3 infinity many solutions

Step-by-step explanation:

12x+1=3(4x+1)-1

3x4x   3x1

12x+1=12x+3-2

   +2            +2

12x+3=12x+3

-12x      -12x

3=3

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Andreyy89

Hello,

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2 years ago
The population of a parish is growing with an annual percentage rate compounded continuously. The population reaches 1.1 times i
Sauron [17]

Answer:

4.8%

Step-by-step explanation:

The population that grows with an annual percentage rate compounded continuously is given by: H = H° e^rt

Let the population be represented by H

The population reaches 1.1 times its previous size in 2 years.

So when t=2,

H = 1.1 H°

We substitute to obtain:

1.1 H° = H° e^r2

1.1 = e^2r

Take natural log to get:

In 1.1 = 2r

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7 0
2 years ago
Read 2 more answers
TV−→− bisects ∠RTS. If the m∠RTV=(16x−6)° and m∠VTS=(13x+9)° , what is the value of x and the m∠RTV ?
natta225 [31]

Answer:

x = 5

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Step-by-step explanation:

Given

RTV=16x - 6

VTS=13x+9

Required

Determine the values of x and RTV

Since, TV is a bisector, then

RTS = RTV + VTS --- (1)

and

RTV = VTS -- (2)

Substitute values of RTV and VTS in (2)

16x - 6 = 13x + 9

Collect Like Terms

16x - 13x = 9 + 6

3x = 15

Solve for x

x = 5

Substitute 5 for x in RTV=16x - 6

RTV = 16 * 5 - 6

RTV = 80 - 6

RTV = 74

8 0
2 years ago
Kiley gathered the data in the table. She found the approximate line of best fit to be y = 1.6x – 4.
mihalych1998 [28]
<span> The difference between the observed </span>value<span> of the dependent variable (y) and the predicted </span>value<span> (ŷ) is called the </span>residual<span> (e). When x is equal to 3, the value of y from the best fit line would be 0.8. Therefore, the residual would be -1 - 0.8 = -1.8. Option A is the correct answer.</span>
7 0
2 years ago
Read 2 more answers
Zachary’s final project for college course took a semester to write and had 95,234 words.zachary wrote 35,295 words the first mo
kap26 [50]

Answer:

40,999

Step-by-step explanation:

95,234-35,295= 59,939 and then 59,939-19,240= 40,999

5 0
2 years ago
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