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3 years ago

11

If 3 times a square of an integer is added to 1 times the integer, the result is 2

1 answer:

jarptica [38.1K]3 years ago

6 0

Let unknown integer be n.

So then your sentence would translate to 3n² + n = 2.

If you need to solve for n then we can move 2 to left side by subtract both sides by 2:

3n² + n - 2 = 0

Now you can factor:

3n² + 3n -2n - 2 = 0

3n( n + 1 ) - 2( n + 1 ) = 0

( 3n - 2 )( n + 1 ) = 0

3n - 2 = 0 OR n + 1 = 0

3n = 2 OR n = -1

n = 2/3 OR n = -1

Final answer: n = 2/3 OR n = -1

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Harman [31]

Answer:

The data table is attached below.

Step-by-step explanation:

The average of a set of data is the value that is a representative of the entire data set.

The formula to compute averages is:

$\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}$

Compute the average for drop 1 as follows:

$\bar x_{1}=\frac{1}{3}\times[10+11+9]=10$

Compute the average for drop 2 as follows:

$\bar x_{2}=\frac{1}{3}\times[29+31+30]=30$

Compute the average for drop 3 as follows:

$\bar x_{3}=\frac{1}{3}\times[59+58+61]=59.33$

Compute the average for drop 4 as follows:

$\bar x_{4}=\frac{1}{3}\times[102+100+98]=100$

Compute the average for drop 5 as follows:

$\bar x_{5}=\frac{1}{3}\times[122+125+127]=124.67$

The data table is attached below.

3 0

3 years ago

Write sin 29 degrees 32 minutes in terms of it cofunction

12345 [234]

Answer:

Sin 29° 32' = Cos 60° 28'

Step-by-step explanation:

Here in this problem, we have to write Sin 29° 32' in terms of its co-function.

We know that co-function of Sin Ф = Cos ( 90° - Ф ).

Therefore, we have to find a complementary angle of 29° 32'.

So, ( 90° - 29° 32' ) = 60° 28'

Therefore, Sin 29° 32' = Cos 60° 28' ( Answer )

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3 years ago

Evaluate the following 1340five minus 242five

vampirchik [111]

Answer:

10980 is the correct answer

4 0

2 years ago

Equation editor does not include the grouping symbols “<“ and “>” that are necessary for writing a vector in component for

Scilla [17]

Answer:

{12,2}

Step-by-step explanation:

From the given graph it is clear that the initial point of the vector is (-5,0) and the terminal point (7,2).

If initial point of a vector is $(x_1,y_1)$ and terminal point is $(x_2,y_2)$ , then

$\overrightarrow{v}=(x_2-x_1)i+(y_2-y_1)j$

Using this formula, we get

$\overrightarrow{v}=(7-(-5))i+(2-0)j$

$\overrightarrow{v}=12i+2j$

$\overrightarrow{v}=$

Using braces, we get

$\overrightarrow{v}=\{12,2\}$

Therefore, the required vector is {12,2}.

4 0

3 years ago

The system of equations 2y = 14 - 2x and y=-x+ 7 is

Ratling [72]

Answer:

Infinitely many solutions

Step-by-step explanation:

2y=14-2x

y=-x+7

------------

2(-x+7)=14-2x

-2x+14=14-2x

-2x-(-2x)=14-14

-2x+2x=0

0=0

infinitely many solutions

6 0

3 years ago

Read 2 more answers