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
irina [24]
3 years ago
13

-x + 1/2 = x + 41/2 *PLEASE SHOW WORK*

Mathematics
1 answer:
ollegr [7]3 years ago
6 0
  -x + 1/2 = x + 4 1/2
  +x           +x
         1/2 = 2x + 4 1/2
       -4 1/2       - 4 1/2
        -4 = 2x
         x = -2
You might be interested in
6.{6.G.A.4} Find the surface area. Answer without units. *
Agata [3.3K]

Answer:

392

Step-by-step explanation:

3 rectangular faces

7 x 16 = 112

7 x 16 = 112

7 x 16 = 112

2 triangular faces

1/2 x 7 x 8 = 28

1/2 x 7 x 8 = 28

Total surface area:

112 + 112 + 112 + 28 + 28 = 392

3 0
3 years ago
I swear to fueledbrightspace, I’m gonna refresh you intil you let me get to my test!
NemiM [27]
Hello thank you for the free points :3
6 0
3 years ago
Read 2 more answers
1. Write the equation of the piece-wise function graphed below​.
DaniilM [7]

Problem 4

<h3>Answer:</h3>

f(x) = \begin{cases}2x+4 \text{ if } x < 1\\x-3 \text{ if } x \ge 1\end{cases}

------------------

Work Shown:

The left line goes through (-2,0) and (0,4)

The slope of this line is

m = (y2-y1)/(x2-x1)

m = (4-0)/(0-(-2))

m = (4-0)/(0+2)

m = 4/2

m = 2

The y intercept is b = 4

Since m = 2 and b = 4, this means y = mx+b turns into y = 2x+4. This portion is only done when x < 1. Note the open circle at the endpoint of this portion. So we do not include x = 1 as part of this piece.

---

The line on the right side goes through (1,-2) and (2,-1)

Slope

m = (y2-y1)/(x2-x1)

m = (-1-(-2))/(2-1)

m = (-1+2)/(2-1)

m = 1/1

m = 1

The y intercept is b = -3. You can see this if you extend the line until it crosses the y axis.

Alternatively, plug in (x,y) = (1,-2) and m = 1 into y = mx+b to find that b = -3

So y = mx+b turns into y = 1x+(-3) or just y = x-3

We combine both parts to end up with f(x) = \begin{cases}2x+4 \text{ if } x < 1\\x-3 \text{ if } x \ge 1\end{cases}

This is only graphed when x \ge 1 (note the closed or filled in circle for the endpoint of this portion).

===================================================

Problem 5

Answer:

<h3>f(x) = \frac{1}{2}|x+3| is the absolute value function</h3><h3>while this is the piecewise function</h3>

f(x) = \begin{cases}-\frac{1}{2}(x+3) \text{ if } x < -3\\\frac{1}{2}(x+3) \text{ if } x \ge -3\end{cases}\\

------------------

Work Shown:

y = |x| .... parent function

y = |x+3| ... shift 3 units to the left

y = (1/2)*|x+3| .... vertically compress by factor of 1/2

f(x) = (1/2)*|x+3|

------

Break that down into a piecewise function

when x < -3, then y = -(1/2)(x+3)

when x \ge -3, then y = (1/2)(x+3)

I'm using the rule that y = |x| turns into y = -x when x < 0 and y = x when x \ge 0

So that is how we get f(x) = \begin{cases}-\frac{1}{2}(x+3) \text{ if } x < -3\\\frac{1}{2}(x+3) \text{ if } x \ge -3\end{cases}\\as the piecewise function.

8 0
3 years ago
Read 2 more answers
What is hydrogen and oxygen classified as: minerals, energy, organisms or elements
OLga [1]
A. Hydrogen and oxygen are classified as elements.

Explanation: they are from the periodic table (which is a table of elements) and it wouldn’t make sense for them to be minerals, energy or organisms. They aren’t living things.
7 0
3 years ago
Read 2 more answers
Which of the following is an example of the additive identity?<br> a +(-a) = 0<br> a+0=0<br> a+0= a
UNO [17]

Answer:

a+0= a

Step-by-step explanation:

we know that

The <u>additive identity</u> property says that if you add a real number to zero or add zero to a real number, then you get the same real number back

so

Let

a -----> a real number

a+0=0+a=a

therefore

a+0= a

4 0
3 years ago
Other questions:
  • plz relpy asap can you tell me these shapes and if they are quadrilateral ,a kite,trapezoid, parallelogram or, rhombus, rectangu
    10·1 answer
  • 2,3,5,9,17 what’s the pattern?
    9·1 answer
  • Find the diameter of a circle with an area of 380.13m2
    7·1 answer
  • If a sample consists of the following data values, what is the sample mean?
    8·2 answers
  • 2. Wilton drives a taxicab. He charges $40 per hour. One passenger gave Wilton a tip of $30. He gave Wilton a total of $150. He
    8·2 answers
  • Need some help for this retake
    10·2 answers
  • 6500 divide by 100. step by step​
    13·1 answer
  • Multiply.<br>(2x-5) (3x-7)​
    6·1 answer
  • 5 less than 3 times a number is 7. Write an equation.
    10·1 answer
  • Erica earns $6 an hour helping her grandmother. Her goal is to earn $48 this weekend
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!