Try the following word problem using GRASP strategy

Is 3(x + 1)2 = (3x + 3)2 an identity? Explain and show your reasoning.

Scilla [17]

Answer:

YES

Step-by-step explanation:

The equation, $3(x + 1)2 = (3x + 3)2$ , would be an identity if the equation remains true regardless of the value of x we choose to plug in into the equation.

Let's find out if we would always get a true statement using different value of x.

✍️Substituting x = 1 into the equation:

$3(x + 1)2 = (3x + 3)2$

$3(1 + 1)2 = (3(1) + 3)2$

$3(2)2 = (3 + 3)2$

$12 = 12$ (TRUE)

✍️Substituting x = 2 into the equation:

$3(x + 1)2 = (3x + 3)2$

$3(2 + 1)2 = (3(2) + 3)2$

$3(3)2 = (6 + 3)2$

$18 = 18$ (TRUE)

✍️Substituting x = 3 into the equation:

$3(x + 1)2 = (3x + 3)2$

$3(3 + 1)2 = (3(3) + 3)2$

$3(4)2 = (9 + 3)2$

$24 = 24$ (TRUE)

Therefore, we can conclude that the equation, $3(x + 1)2 = (3x + 3)2$ , is an identity.

8 0

2 years ago

Someone help me out here

PIT_PIT [208]

The values that completes the table are 28, 9, 33, 32 and -3

<h3>Tables and values.</h3>

Tables are used to represents the dependent and independent variable of a function. They are used to formulate function.

From the given table, we are to think of any dependent value and subtract 3 from it to get the equivalent independent value.

From the third column;

a3-3 = 25

a3 = 25 + 3

a3 = 28

For the fourth column

a4 = 12 - 3

a4 = 9

For the fifth column

a5-3 = 30

a5 = 30 + 3

a5 = 33

For the sixth column

a6-3 = 29

a6 = 29 + 3

a6 = 32

For the seventh column

0-3 = a7a

a7 = 0 - 3

a7 = -3

Hence the values that completes the table are 28, 9, 33, 32 and -3

Learn more on table and function here; brainly.com/question/3632175

#SPJ1

6 0

1 year ago

The base parking charge at a mall on a Sunday is $2 per hour. If a vehicle is parked for 4 hours, only $6 is charged. What perce

chubhunter [2.5K]

2 dollars = 1 hour
8 dollars = 4 hours
she paid 6 dollars so the amount saved = 8-6 = 2 dollars
percentage saved = $\frac{2}{8}$ × 100
percentage saved = 25%

7 0

3 years ago

Read 2 more answers

3. Which of the following is the surface area of this right triangular prism? (

Ostrovityanka [42]

160in 5x8=40x4=160 is the answer to ur question

8 0

2 years ago

The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R′(x)=(x+1)ln(x+1)R ′ (x)=(x+1)ln(x+

jekas [21]

Answer:

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars