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
kozerog [31]
3 years ago
8

What's the solution set of –5 < 2x – 1 < 3?

Mathematics
1 answer:
Dmitry [639]3 years ago
8 0

Answer:

The answer is - 2 < x < 2

Step-by-step explanation:

–5 < 2x – 1 < 3

Add 1 to both sides to eliminate - 1

That's

- 5 + 1 < 2x - 1 + 1 < 3+ 1

- 4 < 2x < 4

Divide both sides by 2

That's

- 4/2 < 2x/2 < 4/2

The final answer is

<h3 /><h3>- 2 < x < 2</h3>

Hope this helps you

You might be interested in
Using the numbers 8, 6, 4, and 2 write an expression that equals 7.
o-na [289]
8 - (6-4) : 2 = 7
that's it
3 0
3 years ago
Read 2 more answers
4) The path of a satellite orbiting the earth causes it to pass directly over two
Naily [24]

Answers:

  • Satellite is approximately <u>2446.43 km</u> from station A.
  • Satellite is approximately <u>2441.61 km</u> above the ground.

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

Explanation:

I'm assuming tracking stations A and B are at the same elevation and are on flat ground. In reality, this is likely not the case; however, for the sake of simplicity, we'll assume this is the case.

The diagram is shown below. Points A and B describe the two stations, while point C is the satellite's location. Point D is on the ground directly below the satellite. We have these lengths

  • AB = 60 km
  • AD = x
  • CD = h

Focusing on triangle ACD, we can apply the tangent rule to isolate h.

tan(angle) = opposite/adjacent

tan(A) = CD/AD

tan(86.4) = h/x

x*tan(86.4) = h

h = x*tan(86.4)

We'll use this later in the substitution below.

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

Now move onto triangle BCD. For the reference angle B = 85, we can use the tangent rule to say

tan(angle) = opposite/adjacent

tan(B) = CD/DB

tan(B) = CD/(DA+AB)

tan(85) = h/(x+60)

tan(85)*(x+60) = h

tan(85)*(x+60) = x*tan(86.4) .............  apply substitution; isolate x

x*tan(85)+60*tan(85) = x*tan(86.4)

60*tan(85) = x*tan(86.4)-x*tan(85)

60*tan(85) = x*(tan(86.4)-tan(85))

x*(tan(86.4)-tan(85)) = 60*tan(85)

x = 60*tan(85)/(tan(86.4)-tan(85))

x = 153.612786190499

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

We'll use this approximate x value to find h

h = x*tan(86.4)

h = 153.612786190499*tan(86.4)

h = 2441.60531869599

h = 2441.61 km  is how high the satellite is above the ground.

Return to triangle ACD. We'll use the cosine rule to determine the length of the hypotenuse AC

cos(angle) = adjacent/hypotenuse

cos(A) = AD/AC

cos(86.4) = x/AC

cos(86.4) = 153.612786190499/AC

AC*cos(86.4) = 153.612786190499

AC = 153.612786190499/cos(86.4)

AC = 2446.43279498247

AC = 2446.43 km is the distance from the satellite to station A.

6 0
3 years ago
What is the chance of rolling 4 a million time?
lys-0071 [83]

\frac{1}{1000 \: 000}
6 0
3 years ago
SQUARE ROOT OF 8<br><br>THANKS -,-​
sergey [27]

Answer:

it's 2

Step-by-step explanation:

square root of 8 is 2

5 0
2 years ago
Read 2 more answers
Differential Equations and Slope Fields
stiv31 [10]

Answer:

9x2−x4+y(x2+9)2x(x2+9)2

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • How can you figure out <br>powers of ten
    15·1 answer
  • Find the quotient. 10669/7
    15·2 answers
  • 6 divided by 2 (1 plus 2) equals
    8·1 answer
  • is a number. As a product of prime factors in index form = 2 × 34 × 3 Work out 32 as a product of prime factors in index form. G
    15·1 answer
  • McKinsey bought 1/2 pounds of coffee for 11 and $82 what was the cost per pound
    10·1 answer
  • George wants to triple the area of his backyard shed. If the original shed is 4 feet by 3 feet, which of the following dimension
    7·1 answer
  • Find the unknown measures. Round lengths to the nearest tenth and angle measures to the nearest degree.
    9·1 answer
  • The length of a rectangular garden is 3 yards more than its width. The area of the garden is 40 square yards. Find the length of
    7·1 answer
  • When converting a percent to a decimal, will there always be two digits after the decimal point? Explain
    6·2 answers
  • What is this ? x&lt;-2 .....HELP please ! ( sorry if the picture is blurry)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!