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
vivado [14]
3 years ago
8

Graph the solution set to this inequality. -2(x + 6) > -41

Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0
Do not expand the brackets, divide both sides by -2 and reverse the inequality!
So x + 6 < -41/-2 = 20.5
Now subtract 6 from both sides
x < 14.5
Graph by drawing a circle at 14.5 and an arrow from the circle pointing left.
The solution set is all real numbers up to, but not including, 14.5
You might be interested in
Prove that angle W is congruent to angle Y with a two column proof.
iren2701 [21]

Statement 1: WXYZ is a kite

Reason 1: Given

Statement 2: WX = XY and WZ = YZ

Reason 2: Definition of a kite

Statement 3: XZ = XZ

Reason 3: Reflexive property

Statement 4: Triangle WXZ = Triangle YXZ

Reason 4: SSS Congruence

Statement 5: Angle W = Angle Y

Reason 5: CPCTC

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

Extra notes:

* A kite is a quadrilateral that has two pairs of adjacent congruent sides. In this case, WX and XY is one pair of congruent sides that are adjacent (ie next to each other). So that's why WX = XY. Similarly, WZ = YZ is the second pair of adjacent congruent sides.

* Draw in a segment from point X to point Z to help form two triangles. The two triangles are congruent as proven in statement 4. One triangle is a reflection over the line XZ to get the other triangle.

* Due to this reflection, angle W reflects over line XZ to get angle Y. Proving that angle W = angle Y

* SSS means "side side side", basically saying "you use three pairs of congruent sides to prove two triangles congruent".

* The acronym CPCTC stands for "corresponding parts of congruent triangles are congruent"

4 0
3 years ago
Assume that emergency medical personnel in California are planning for future resources and it has been observed that the averag
larisa [96]

Answer:

Answer is 0.5

Step-by-step explanation:

The text implies that the number of traffic accidents determines the number of ambulances required on the road. Hence, 1 traffic accident requires 1 ambulance.

The time slot and time of day remain same in both the text and the question.

The average or mean number of accidents is 1.1

QUESTION: What then is the probability that there is need for exactly 2 ambulances on that road and in that time frame?

In other words, what is the probability that there'll be 2 accidents on that road and in that time frame?

Since the mean number of accidents is 1.1,  2 is above the mean.

Probability of 1.1 accidents is 1, since that's the mean (expected value).

Probability of 2 accidents is 1/2 which is = 0.5

4 0
3 years ago
Which variable expression represents the phrase “the quotient of 5 times a number and 2”?
bezimeni [28]

Answer:

5x/2

Step-by-step explanation:

Say the mystery number is "x"

5 times that = 5 * x = 5x

Then the quotient (that means the result of division, so divide!) of that and 2 would give you: 5x/2

3 0
2 years ago
Choose the triangle that seems to be congruent to the given one.
arsen [322]

AFB, the sides are similar

6 0
3 years ago
WILL GIVE BRAINLIEST TO CORRECT ANSWER
MA_775_DIABLO [31]

Answer: 80

Step-by-step explanation:

Multiple 8 x 10

7 0
3 years ago
Other questions:
  • I need to solve this problem
    15·1 answer
  • All else being equal, a study with which of the following error ranges would be the most reliable?
    12·2 answers
  • Solve the linear equation.
    15·1 answer
  • Identify the construction at the figure represents
    15·1 answer
  • When is the constant of proportionality the same as the unit rate when comparing two quantities?
    8·1 answer
  • Triangle ABC has the following angle measurements
    8·2 answers
  • Please help!<br> look at the photo (again lol)
    11·2 answers
  • GCF of 48, 36, and 16. (this is all I need thx) :)
    12·1 answer
  • Please answer the question in the image
    13·1 answer
  • Given that f(x) = 4x - 3 and g(x) 2x-1 divided by 3<br><br> solve for g(f(2))
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!