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
Alekssandra [29.7K]
2 years ago
12

3. Which two expressions are equivalent for any value of y? *

Mathematics
1 answer:
-Dominant- [34]2 years ago
5 0

Given:

The pair of expressions in the options.

To find:

The two expressions are equivalent for any value of y.

Solution:

Two expressions are equivalent for any value of y, iff they are equivalent.

3(3y+3)=3(3y)+3(3)

3(3y+3)=9y+9

Clearly, 3(3y+3) is not equivalent to 6y+6 or 9y+6. So, options A and B are incorrect.

9(y+3)=9(y)+9(3)

9(y+3)=9y+27

9(y+3)=27+9y

The expression 9(y+3) is not equivalent to 12+9y. So, option C is incorrect.

The expression 9(y+3) is equivalent to 27+9y.

Therefore, the correct option is D.

You might be interested in
*<br> What is the slope in the graph?<br><br> m= -1<br> m= 0<br> m= 1<br> undefined
KIM [24]

Answer:

undefined

Step-by-step explanation:

The slope of a vertical line parallel to the y- axis is undefined.

8 0
3 years ago
Solve for u: 2(u + 6) - 8 &gt; 3(u - 5)
Wittaler [7]
I’m pretty sure the answer is u<19
7 0
3 years ago
Read 2 more answers
I need help. Basically, I need to figure out the dependent and independent value of a function.
Rama09 [41]

Answer:

  • x = log(y/4)/log(1.0256)
  • your answer for y=12 is correct

Step-by-step explanation:

The question is asking you to solve ...

   y = f(x)

for x. (In other words, find the inverse function.)

You already did this using a constant for y. Do the same thing with y instead of the constant.

  y = 4(1.0256^x)

  y/4 = 1.0256^x . . . . . . . divide by 4

  log(y/4) = x·log(1.0256) . . . . . take logs

  log(y/4)/log(1.0256) = x . . . . . divide by the coefficient of x

Now, you have a model for x in terms of y, which is what the question is asking for.

  x = log(y/4)/log(1.0256) . . . . . . . exact expression

When y=12, this is ...

  x = log(12/4)/log(1.0256) ≈ 43.46 . . . . weeks

_____

This is a linear equation in log(y), so can be written as such:

  x = 91.0912·log(y) -54.8424 . . . . . approximate expression

6 0
3 years ago
If a puppet requires 3/4 yard of material, how many puppets can be made from 9 yards of material?
klasskru [66]
First find out how many times 3/4 yard goes into 9. 3/4 fits into 9 twelve times, so twelve puppets can be made.

Did I help? Thank me by clicking best answer!
5 0
3 years ago
Read 2 more answers
What does m equal in this equation? <br> 5m+2(m+1)=23
barxatty [35]
5m+2m+2 = 23
7m=21 , So:: m=21:7
m=3
8 0
2 years ago
Read 2 more answers
Other questions:
  • The sum of two numbers is 43 . the smaller number is 11 less than the larger number. what are the numbers?
    9·1 answer
  • One side of a rectangle is three times the other. Find the longer side if the perimeter is<br> 29
    12·2 answers
  • ABCD. If AB=5x and CD=3x + 10, find CD<br> A. 25<br> B. 2<br> C. 5<br> D. 20
    14·2 answers
  • When looking at the mean of a data set, what information do you get when looking at the mean?
    15·2 answers
  • Find the 120th term, given the first term and the common difference. <br> a =52 and d=12<br>  1
    8·1 answer
  • A triangle has sides with lengths of 4 meters, 5 meters and 3 meters . Is it a right triangle? ​
    13·1 answer
  • Gr) = 25 – 31<br> g(4) =
    10·1 answer
  • Adam has joined a book club. The membership has an initial fee of $25.00 and each book rental costs $2.00. This table shows the
    5·2 answers
  • Sara and Lane share a 30-ounce box of cereal. By the end of the week, Sara has eaten 1 10 of the box, and Lane has eaten 2 5 of
    13·1 answer
  • You work for a company that makes tiles for patios. A customer sent you the following picture of his patio. He said the patio is
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!