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
Nimfa-mama [501]
2 years ago
8

HELP!!! HELP!!! WILL GIVE BRAINLIEST

Mathematics
2 answers:
vekshin12 years ago
5 0
Sets are greater than 6
Nesterboy [21]2 years ago
3 0

Answer:

(a) Two x plus eight is greater than negative four

(b) x > -6; number line would be an open circle at -6 and the line pointing in the positive direction to be shaded

Step-by-step explanation:

(a)

Note first that the inequality sign ">" means "greater than", so 2x + 8 > -4 in written language is:

<em>Two x plus eight </em><em>is greater than</em><em> negative four</em>

<em />

(b)

We solve this just like how we'd solve it if it were 2x + 8 = -4: isolate the variable first.

Subtract 8 from both sides:

2x + 8 - 8 > -4 - 8

2x > -12

Divide by 2:

x > -12/2

x > -6

So, the solution set is all numbers greater than -6.

Drawn on a number line, we would first place an <em>open circle</em> at -6 (because we are using > rather than ≥, which would include the -6 in the solution set). Then, because our solution set includes all numbers greater than -6, we shade in the part of the line that points in the positive direction, so it should include numbers like -5, -4, -3, -2, -1, 0, 1, 2, ... and so on.

You might be interested in
Ben flipped a coin and got heads 7/15 of the time. If he flipped the coin 45 more times, how many times would you expect Ben to
DanielleElmas [232]

Answer:

22 times

Step-by-step explanation:

just to be clear i don't know if thats right because you can't actually expect which way a coin is going to flip so its all up to chance but anyways...

1. 7 is about half of 15 and 22 is about half of 45 (you could also do 23 or 22.5 if you want to be exact)

7 0
2 years ago
Read 2 more answers
Math question
strojnjashka [21]

Answer:

The candle has a radius of 8 centimeters and 16 centimeters and uses an amount of approximately 1206.372 square centimeters.

Step-by-step explanation:

The volume (V), in cubic centimeters, and surface area (A_{s}), in square centimeters, formulas for the candle are described below:

V = \pi\cdot r^{2}\cdot h (1)

A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot r \cdot h (2)

Where:

r - Radius, in centimeters.

h - Height, in centimeters.

By (1) we have an expression of the height in terms of the volume and the radius of the candle:

h = \frac{V}{\pi\cdot r^{2}}

By substitution in (2) we get the following formula:

A_{s} = 2\pi \cdot r^{2} + 2\pi\cdot r\cdot \left(\frac{V}{\pi\cdot r^{2}} \right)

A_{s} = 2\pi \cdot r^{2} +\frac{2\cdot V}{r}

Then, we derive the formulas for the First and Second Derivative Tests:

First Derivative Test

4\pi\cdot r -\frac{2\cdot V}{r^{2}} = 0

4\pi\cdot r^{3} - 2\cdot V = 0

2\pi\cdot r^{3} = V

r = \sqrt[3]{\frac{V}{2\pi} }

There is just one result, since volume is a positive variable.

Second Derivative Test

A_{s}'' = 4\pi + \frac{4\cdot V}{r^{3}}

If \left(r = \sqrt[3]{\frac{V}{2\pi}}\right):

A_{s} = 4\pi + \frac{4\cdot V}{\frac{V}{2\pi} }

A_{s} = 12\pi (which means that the critical value leads to a minimum)

If we know that V = 3217\,cm^{3}, then the dimensions for the minimum amount of plastic are:

r = \sqrt[3]{\frac{V}{2\pi} }

r = \sqrt[3]{\frac{3217\,cm^{3}}{2\pi}}

r = 8\,cm

h = \frac{V}{\pi\cdot r^{2}}

h = \frac{3217\,cm^{3}}{\pi\cdot (8\,cm)^{2}}

h = 16\,cm

And the amount of plastic needed to cover the outside of the candle for packaging is:

A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot r \cdot h

A_{s} = 2\pi\cdot (8\,cm)^{2} + 2\pi\cdot (8\,cm)\cdot (16\,cm)

A_{s} \approx 1206.372\,cm^{2}

The candle has a radius of 8 centimeters and 16 centimeters and uses an amount of approximately 1206.372 square centimeters.

3 0
3 years ago
What are the potential solutions of log4x+log4(x+6)=2?
lions [1.4K]

The potential solutions of log_4x+log_4(x+6)=2 are 2 and -8.

<h3>Properties of Logarithms</h3>

From the properties of logarithms, you can rewrite logarithmic expressions.

The main properties are:

  • Product Rule for Logarithms - log_{b}(a*c)=log_{b}a+log_{b}c
  • Quotient Rule for Logarithms - log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c
  • Power Rule for Logarithms - log_{b}(a^c)=c*log_{b}a

The exercise asks the potential solutions for  log_4x+log_4(x+6)=2. In this expression you can apply the Product Rule for Logarithms.

                                  log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0

Now you should solve the quadratic equation.

 

 Δ=b^2-4ac=36-4*1*(-16)=36+64=100. Thus, x will be x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}. Then:

x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8

The potential solutions  are 2 and -8.

Read more about the properties of logarithms here:

brainly.com/question/14868849

4 0
2 years ago
What is the value of x?
frez [133]

\left\{\begin{array}{ccc}x+2y=4&\text{multiply both sides by 5}\\4x-5y=42&\text{multiply both sides by 2}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}5x+10y=20\\8x-10y=84\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad13x=104\qquad\text{divide both sides by 13}\\\\\boxed{x=8}\\\\Answer:\ \boxed{\boxed{x=8}}

5 0
3 years ago
Which is the best estimate for 10 drops of liquid?
Fynjy0 [20]

Answer:

The answer is a A. I just took a short test about it.

Step-by-step explanation:

plz give brainliest and rating

7 0
3 years ago
Other questions:
  • Cary is 4 4 years older than dan. in 10 10 years the sum of their ages will be 66 66. find the age of each man now
    5·1 answer
  • How to write any subtraction problem as an addition number why does it help to write a subtraction problem as an addition proble
    10·2 answers
  • round 0.752 to the nearest tenth explain how you round round 26.48 to the nearest whole number explain how you round round $5.92
    10·2 answers
  • The winery sold 81 cases of wine this week. If twice
    9·1 answer
  • An antelope can run 152.5 miles in 2.5 hours. What is the average speed of the antelope?
    7·1 answer
  • Reposting because I seriously need help. Please, this is time sensitive!
    9·2 answers
  • Which expression is not equivalent to the other three?
    9·1 answer
  • PLEASE HELP PLEASE ASAP​
    12·1 answer
  • What is the equation for the perpendicular that passes through the point (-1,-2) ?
    13·1 answer
  • In which set do all of the values make the inequality 2x-1&lt;10 true?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!