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
drek231 [11]
3 years ago
11

Which expression is equivalent to -1/2(-3/2x+6x+1)-3

Mathematics
1 answer:
stira [4]3 years ago
7 0

Answer:

-\frac{9}{4}x-\frac{7}{2}

Step-by-step explanation:

We want to find an expression that is equivalent to -\frac{1}{2}(-\frac{3}{2}x+6x+1)-3.

Since we can;t get the options, we simplify the given expression.

The reason is that, the given expression will be equivalent to the simplified one.

We combine similar terms to get:

-\frac{1}{2}(\frac{9}{2}x+1)-3

We now expand to get:

-\frac{1}{2}*\frac{9}{2}x-\frac{1}{2}-3

We perform the subtraction of the last two terms to get:

-\frac{1}{2}*\frac{9}{2}x-\frac{7}{2}

We now multiply to get:

-\frac{9}{4}x-\frac{7}{2}

You might be interested in
Complete the square to find the minimum value of the expression 4x2 + 8x + 23.
Tcecarenko [31]
So you need to come up with a perfect square that works for the x coefficients.
like.. (2x + 2)^2
(2x+2)(2x+2) = 4x^2 + 8x + 4
Compare this to the equation given. Our perfect square has +4 instead of +23. The difference is: 23 - 4 = 19

I'm going to assume the given equation equals zero..

So, If we add subtract 19 from both sides of the equation we get the perfect square.

4x^2 + 8x + 23 - 19 = 0 - 19
4x^2 + 8x + 4 = - 19
complete the square and move 19 over..
(2x+2)^2 + 19 = 0
factor the 2 out becomes 2^2 = 4
ANSWER: 4(x+1)^2 + 19 = 0

for a short cut, the standard equation
ax^2 + bx + c = 0 becomes a(x - h)^2 + k = 0
Where "a, b, c" are the same and ..
h = -b/(2a)
k = c - b^2/(4a)

Vertex = (h, k)
this will be a minimum point when "a" is positive upward facing parabola and a maximum point when "a" is negative downward facing parabola.


3 0
3 years ago
The length of a rectangle is 2 more than 3 times the width. If the perimeter is 100 meters, what is the width of the rectangle?
ladessa [460]
The correct answer is 12 meters. Hope that helps!
3 0
4 years ago
Read 2 more answers
Marcie subtracted 17 from 58 and then multiplied by the sum of 6 and 8. Write the expression she used
uranmaximum [27]

Answer:

58 - 17(6 + 8)

8 0
3 years ago
Mixed problems with fractions
Tom [10]
4/5 - 1/6
= 24/30 - 5/30
= 19/30


8 0
3 years ago
Read 2 more answers
Simplify (3a^2-6a+3)/(a^2-1) if a is not 1
AVprozaik [17]

\dfrac{3a^2-6a+3}{a^2-1}\\\\=\dfrac{3(a^2 -2a+1)}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)^2}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)}{a+1}\\\\=\dfrac{3a-3}{a+1} ~~~\text{for}~ a\neq 1

7 0
2 years ago
Other questions:
  • Got It? Do these problems to find out.<br> d. (8.41 x 103) + (9.71 x 104)
    11·1 answer
  • Four times the sum of a number and 15 is at least 120. Find all possible solutions for x
    7·1 answer
  • Factor
    10·1 answer
  • 14 is what percent of 25?
    11·2 answers
  • Compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.
    5·2 answers
  • What is the interquartile range (IQR) of the data set below?
    7·1 answer
  • Problem 3: The elevator at a business center has a weight limit of 1800 pounds. Assume the
    6·1 answer
  • What is the slope formula?<br> O A. 4- x<br> O B. Kn<br> Xx - *<br> C. *-*<br> y - 1<br> D. *+ *;
    12·1 answer
  • How many degrees is 13/18 of a semicircle?
    6·2 answers
  • In the arithmetic sequence {13, 6,-1,-8,...}, what is the common difference?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!