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
Natalka [10]
2 years ago
15

Solve: x+2/x-4<0 O _4 O -2 -2 -4

Mathematics
1 answer:
sammy [17]2 years ago
7 0

Answer:

-2<x<4

Step-by-step explanation:

For \frac{x+2}{x-4} < 0, note that either the numerator or denominator is positive and the other must be negative for this inequality to be satisfied.

This means x+2>0 and x-4<0 or x+2<0 and x-4>0.

Lets look at the first scenario (x+2>0 and x-4<0)

x+2>0 and x-4<0

x>-2 and x<4

This means that -2<x<4.

Let’s look at the other scenario (x+2<0 and x-4>0)

x+2<0 and x-4>0

x<-2 and x>4

This means that x must be <-2 and >4 simualtaneously, which is impossible.

Therefore, this only occurs when -2<x<4.

I hope this helps! :)

You might be interested in
I need help with this question plzzz <br><br> Geometry
KATRIN_1 [288]

Answer:

  • If the perimeter of a square measures 32 cm, each side measures 32/4= 8 cm, because all sides are equal.
  • The diagonal that passes through the center of the square divides the square into two triangles. The triangles are formed by a <u>hypotenuse </u>(the diagonal, which is k in this case), <u>and two sides,</u> that measure 8 cm each, in this case.
  • Because of Pythagoras' theorem, we know that the <u>lenght of the hypotenuse</u> (in this case the hypotenuse is k) equals the squared root of the sum of the squared sides, which in this case can be expressed as k=\sqrt{8^2+8^2} =\sqrt{64+64}=\sqrt{128}=11.31.
  • Then, k=11.31 cm.

3 0
3 years ago
A construction crew is building a two story house, but they have not built the staircase between the floor yet. The height of th
Naya [18.7K]

Answer:

13.4feet

Step-by-step explanation:

The set up forms a right triangle.

Given

Height of the staircase h = 12 feet

Base of the stairs b = 6feet

Required

Length of the ramp l

Using the pythagoras theorem

l² = h² + b²

l² = 12²+6²

l² = 144 + 36

l² = 180

l = √180

l = 13.42 feet

Hence the length of the ramp to the nearest tenth is 13.4feet

6 0
3 years ago
An angle of 200 is a/an _______ angle.<br> a. reflex<br> b. straight<br> c. right<br> d. acute
krok68 [10]
Reflex angle because straight is 180 and right is 90 and acute is less than 90
3 0
2 years ago
Find the Pearson correlation coefficient R for the given point round any intermediate calculation to no less than six decimal pl
ElenaW [278]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Get the given data values

STEP 2: Write the formula for calculating the coefficient

STEP 3

: Calculate the correlation coefficient

Using the calculator,

Hence, the value of r is 0.791

7 0
1 year ago
adria is putting down floor tiles in her kitchen.each tile has an area of 1 square foot. Twelve square feet of tile costs $7. ad
pychu [463]
9*16=144
144*$7=1008

$1008
3 0
2 years ago
Other questions:
  • At the farmers market, two pounds of peaches cost 4.20. How much will five pounds cost? show all of your work or explain your re
    5·1 answer
  • Solve for x help me pls
    5·1 answer
  • 9 over 24 subtract 1 and 8 over 24
    8·1 answer
  • Sneha is inspecting the average cleanliness of the rooms in a hotel. There are 10 floors in the hotel, each with 20 rooms. From
    11·1 answer
  • A pair of pants has been marked down form $36 to $27. The percent decrease is 25%. True or False?
    7·1 answer
  • The ratio of length to width in a rectangle is 3 to 1. If the perimeter of the rectangle is 120 feet, what is the length of the
    11·1 answer
  • How many 1/4 inch cubes does it take to fill a box with width 1 inches, length 3 3/4 inches and height 1 1/2 inches?
    15·1 answer
  • Please help me I don’t understand this
    8·1 answer
  • The average length of a baby at birth is 19 inches long. There are 2.54 centimeters in 1 inch. What is the average length of a b
    6·2 answers
  • If XY​,=30 XZ=24​, and JQ​=8, find the radius of the circumscribed circle of XYZ Please Help Brainliest if correct! Thanks!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!