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ser-zykov [4K]
3 years ago
7

X-15 greater than or equal too 8. Solve and graph inequality

Mathematics
2 answers:
aleksley [76]3 years ago
8 0
Hey!


The first step to solving this inequality is to add 15 to both sides. We do this so as to get the variable ( x ) on its own. This can also be known as simplifying the inequality.

<em>Original Inequality :</em>
x - 15 <span>≥ 8

<em>New Inequality {Added Plus 15 to Both Sides} :</em>
x - 15 + 15 </span><span>≥ 8 + 15

Now we simplify the equation by solving -15 + 15 and 8 + 15.

<em>Old Inequality :</em>
x - 15 + 15 </span><span>≥ 8 + 15

<em>New Inequality {Old Inequality Simplified} :</em>
x </span><span>≥ 23

Now, that is, in fact, the solution but since I'm not sure which form you need, I've written it in other forms as well.

Solution </span>→  x <span>≥ 23

Interval Notation </span>→  [ 23, ∞ )

Below, I have also attached a graph that shows how this inequality should be graphed.

Hope this helps!


- Lindsey Frazier ♥

kakasveta [241]3 years ago
3 0
X is greater than or equal 23 

Graph:< ___|_|_|_|_|_|_|_|______>
               19 20 21 22 23

closed dot over 23 and line and arrow going to the right 
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Sally can paint a room in 9 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the
Archy [21]
You can solve this one by adding their rates, but you have to invert the numbers they give you to find the rate. Rate is measured in something per unit of time, and "per" indicates division. So the rates are: 1/3 of an hour (Sally) and 1/6 of an hour (Steve). So add the rates: 1/3 + 1/6 = 1/2. (1/3 is 2/6, and 2/6 + 1/6 = 3/6). Since their combined rate is 1/2 of a room in one hour, it takes them two hours to paint the room.

This answer makes sense: It takes Sally three hours by herself; with Steve's help, she's faster, but not THAT much faster, because he's pretty slow. You can often spot-check word problem answers like this by giving it a common sense once-over. If we came up with four hours, that would clearly be wrong: it should take her LONGER if she's getting help.
7 0
3 years ago
Read 2 more answers
Guys please HELPP!!!!!!!!!!
MA_775_DIABLO [31]

Answer:

Work out after explanation.

Step-by-step explanation:

Split into a trapezium and triangle so you know the height for the triangle. Then find out the area of the trapezium and triangle using their formula. Then add them together. That should be your answer.

6 0
3 years ago
Someone please help me!!!!
kondaur [170]

Answer:

9.5

Step-by-step explanation:

13x+1+12x-2+14x+1+109+132+128

collect all the like terms

13x+12x+14x

=39x

1+-2+1+109+132+128

=369

39x=369

divide both sides by 39

=9.5

8 0
3 years ago
The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas
tiny-mole [99]

Answer:

The population in 20 years will be 781.

Step-by-step explanation:

The population of the town can be modeled by the following equation:

P(t) = P(0)e^{rt}

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate, as a decimal.

The initial population of 500 increases by 25% in 10 years.

This means that P(0) = 500, P(10) = 1.25*P(0) = 625

We use this to find r.

P(t) = P(0)e^{rt}

625 = 500e^{10r}

e^{10r} = 1.25

Applying ln to both sides

\ln{e^{10r}} = \ln{1.25}

10r = \ln{1.25}

r = \frac{\ln{1.25}}{10}

r = 0.0223

So

P(t) = 500e^{0.0223t}

What will be the population in 20 years

This is P(20)

P(20) = 500e^{0.0223*20} = 781

The population in 20 years will be 781.

8 0
4 years ago
Please help, I will mark you brainiest, thank you’
stich3 [128]

Answer:

a

Step-by-step explanation:

6 0
3 years ago
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