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
Elena-2011 [213]
3 years ago
9

The solution set for the inequality x + 4 ≤ 1/2 (x - 3) includes -11 as an element.

Mathematics
1 answer:
Sindrei [870]3 years ago
6 0

Answer:

<h2>x ≤ -11, Yes. The solution set include -11.</h2>

Step-by-step explanation:

x+4\leq\dfrac{1}{2}(x-3)\qquad\text{multiply both sides by 2}\\\\2x+8\leq1(x-3)\\\\2x+8\leq x-3\qquad\text{subtract 8 from both sides}\\\\2x\leq x-11\qquad\text{subtract x from both sides}\\\\\boxed{x\leq-11}

You might be interested in
Leah is writing an equivalent equation which solves for y. What should be her next step? 3x+4y=8 Add 4y to both sides of the equ
ratelena [41]

The given equation is

3x+4y=8

And we have to solve for y.

Solving for y, means isolating y . And to isolate y, we need to get rid of 4 that is with y .

It means we have to separate 4 from y, and for separation , we have to perform division. That is, we have to divide both sides by 4, and that will be the next step .

So out of the four options, correct option is the last option .

4 0
3 years ago
Read 2 more answers
For all values of x
Yuliya22 [10]

Answer:

A.) gf(x) = 3x^2 + 12x + 9

B.) g'(x) = 2

Step-by-step explanation:

A.) The two given functions are:

f(x) = (x + 2)^2 and g(x) = 3(x - 1)

Open the bracket of the two functions

f(x) = (x + 2)^2

f(x) = x^2 + 2x + 2x + 4

f(x) = x^2 + 4x + 4

and

g(x) = 3(x - 1)

g(x) = 3x - 3

To find gf(x), substitute f(x) for x in g(x)

gf(x) = 3( x^2 + 4x + 4 ) - 3

gf(x) = 3x^2 + 12x + 12 - 3

gf(x) = 3x^2 + 12x + 9

Where

a = 3, b = 12, c = 9

B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)

To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula

Y = 3x + 3

X = 3y + 3

Make y the subject of formula

3y = x - 3

Y = x/3 - 3/3

Y = x/3 - 1

Therefore, g'(x) = x/3 - 1

For g'(12), substitute 12 for x in g' (x)

g'(x) = 12/4 - 1

g'(x) = 3 - 1

g'(x) = 2.

5 0
3 years ago
1/3 times what equals -1
Gekata [30.6K]

Answer:

0.333333+

Step-by-step explanation:

5 0
3 years ago
Help, im timed :((( <br> will mark branliest
Daniel [21]

Answer: it is D)

Step-by-step explanation:

4 0
3 years ago
When you graph a system of two linear equations, which outcome is NOT possible?
Galina-37 [17]

Answer:

An outcome that is not possible is that the lines intersect in two different points so the system has two solutions.

Step-by-step explanation:

The two lines can never intersect each other at two points. Two lines intersects only once if they intersect otherwise they are parallel or coincide.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Help me find the slope on the line. Thanks in advance :)
    13·2 answers
  • A squirrel ran 9 miles in 1 hour. Which expression can be used to determine its speed in miles per hour?
    9·2 answers
  • Solve 3x^2 - 20x - 7 =0
    15·2 answers
  • Water samples from a particular site demonstrate a mean coliform level of 10 organisms per liter with a standard deviation of 2.
    7·2 answers
  • 5/9 is rational or irrational
    15·1 answer
  • Abel rented a jet ski. He paid $27 for each hour and $15 to rent a life jacket for the day. He returned the items after 4 hours.
    5·1 answer
  • Solve −18=6+6x .<br><br><br><br> x = __
    14·2 answers
  • V<br><img src="https://tex.z-dn.net/?f=%20%7Bv%7D%5E%7B2%7D%20%20%20%3D%20%20%7Bu%7D%5E%7B2%7D%20%20%2B%202as%20" id="TexFormula
    9·1 answer
  • O
    7·1 answer
  • Mandisa draws a rectangle to represent the area of her yard. The area can be represented by 10x2 – 13x – 14.What expressions can
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!