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ANEK [815]
2 years ago
9

Try the following word problem using GRASP strategy

Mathematics
1 answer:
andrew11 [14]2 years ago
3 0

Answer:

.

Step-by-step explanation:

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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

Step-by-step explanation:

R'(x)=(x+1)\ln(x+1)

Integrate with respect to x.

R(x)= ∫(x+1)\ln(x+1) dx

Take x+1=u

Differentiate with respect to x

dx=du

So,

R(x)= ∫u\ln(u)\,du

Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx

Therefore,

R(x)=  \frac{u^2}{2}\ln(u) -  ∫\frac{u^2}{2}\frac{1}{u}\,du

=  \frac{u^2}{2}\ln(u) -  ∫\frac{u}{2}\,du

Put u=x+1

R(x)=   \frac{(x+1)^2}{2}\ln(x+1)-\frac{(x+1)^2}{4}

To find total revenue from the sale of the first 12 calculators, put x=12

R(x)=   \frac{(12+1)^2}{2}\ln(12+1)-\frac{(12+1)^2}{4}\\\\= \frac{(13)^2}{2}\ln(13)-\frac{(13)^2}{4}\\\\=\frac{169}{2}\ln(13)-\frac{169}{4}

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

4 0
2 years ago
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