1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alik [6]
3 years ago
6

Which of the following statements have the same result? Explain each step in solving each one.

Mathematics
2 answers:
laiz [17]3 years ago
6 0
<span>I. f(2) when f(x) = 3x + 2
</span> f(2) = 3(2) + 2=8
 III. 2y + 14 = 4y − 2
 4y- 2y = 14+2
 2y = 16 
 y=16/2=8
<span> statements have the same result</span>
Elan Coil [88]3 years ago
6 0

Answer:

All three statements have same results.

Step-by-step explanation:

Statement I: f(2) when f(x) = 3x + 2.

f(x)=3x+2

Put x=2.

f(x)=3(2)+2=8

The value of the function is 8. It means y=8 at x=2.

Statement II:f⁻¹(3). when f(x) = 2 x minus 7, all over 3.

f(x)=\frac{2x-7}{3}

Find the inverse of the function.

Step 1: Substitute f(x)=y

y=\frac{2x-7}{3}

Step 2: Interchange x and y.

x=\frac{2y-7}{3}

Step 3: Isolate y.

y=\frac{3x+7}{2}

Step 4: Substitute y=f⁻¹(x).

f^{-1}(x)=\frac{3x+7}{2}

Now, substitute x=3, to find f⁻¹(3).

f^{-1}(3)=\frac{3(3)+7}{2}=8

The result of statement II is 8.

Statement III: 2y + 14 = 4y − 2

2y+14=4y-2

14+2=4y-2y

16=2y

y=8

The result of statement III is 8.

Therefore all three statements have same results.

You might be interested in
Please explain. 100 / (-5) =
svp [43]
That would be -20. a negative divided by a negative number is positive, positive divided by negative is negative bc even numbers of negatives make it positive. and ofc 20 x 5 = 100, hence the ‘20’
5 0
3 years ago
Read 2 more answers
Plz help me<br> Thank you.
spin [16.1K]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
HELLLLLLLP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ
kodGreya [7K]

Answer:

80 miligrams

Step-by-step explanation:

100 / 250 = 0.4

0.4 * 200 = 80

8 0
3 years ago
The perimeter of square F is 23 meter less than the perimeter of square G.
Zigmanuir [339]

Answer: b

hope this helps

7 0
2 years ago
A plastics manufacturer has developed a new type of plastic trash can and proposes to sell them with an unconditional 6-year war
gtnhenbr [62]

Answer:

since -3.73 is less than 1.645, we reject H₀.    

Therefore this indicate that the proposed warranty should be modified

Step-by-step explanation:

Given that the data in the question;

p" = 13/20 = 0.65

Now  the test hypothesis;

H₀ : p = 0.9

Hₐ : p < 0.9

Now lets determine the test statistic;

Z = (p" - p ) / √[p×(1-p)/n]

= (0.65 - 0.9) /√[0.9 × (1 - 0.9) / 20]  

= -0.25 / √[0.9 × 0.1 / 20 ]

= -0.25 / √0.0045

= -0.25 / 0.067

= - 3.73

Now given that a = 0.05,

the critical value is Z(0.05) = 1.645 (form standard normal table)

Now since -3.73 is less than 1.645, we reject H₀.    

Therefore this indicate that the proposed warranty should be modified

3 0
2 years ago
Other questions:
  • Terry has 3 pairs of pants: black, khaki, and brown, and 4 shirts: yellow, red, blue, and white. He does not care which colors h
    8·2 answers
  • Cinthia purchases 4 movies for $50. If she uses a 30% discount, how much did she pay per movie? PLZZZ HELP ME PLZZZ
    9·1 answer
  • What is the answer to this equation 5X + 4 = 49
    8·2 answers
  • A friend asks to borrow $250 for 18 months and pays 12% annual simple interest how much interest will you earn
    10·1 answer
  • The state of Wisconsin would like to understand the fraction of its adult residents that consumed alcohol in the last year, spec
    7·1 answer
  • In the expression 2x + 3, what is 2 in the given equation?. A). coefficient B). power C). product D). term
    7·1 answer
  • Calculate the speed traveled for each situation below and then put them in
    10·1 answer
  • Help pls.............
    12·1 answer
  • I need help with this question pls
    15·1 answer
  • Solve the inequality for x. Show each step of the solution.10x &gt; 2(8x – 3) – 18
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!