x 
-9; x 
6 or in interval notation [-9,6]
To find out what are the steps in solving the below inequality:
Given equation is 2x - 3 > 15
The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.
−15≤2x-3≤15
First, subtract 3 from each segment of the system of equations to isolate the x term while keeping the system balanced:
−15−3≤2x-3−3≤15−3
−18≤2x-6≤12
−18≤2x-6≤12
Now, divide each segment of the system by 2 to solve for x while keeping the system balanced:
-9 x 6
or
x -9; x 6
or in interval notation [-9,6]
on the horizontal axis.
The lines will be a solid line because the inequality operators contain "or equal to" clauses.
We will shade between the lines to show the interval:
Hence the steps to solve an inequality has been show
To learn more about inequalities click here brainly.com/question/24372553
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Answer: N(t) = (2^t)*1500
Step-by-step explanation:
Let's define the hour "zero" as the initial population.
So if N(t) is the number of bacteria after t hours, then:
N(0) = 1500.
Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1
N(1) = 2*1500 = 3000
after two hours, at t = 2.
N(2) = 2*(2*1500) = (2^2)*1500
After three hours, at t = 3
N(3) = 2*(2^2)*1500 = (2^3)*1500
So we already can see the pattern, the number of bacteria after t hours will be:
N(t) = (2^t)*1500
Answer:
n = 12.3
Step-by-step explanation:
I'm assuming we're looking for n, to find it, we need to isolate it.
Our equation will be solved through PEMDAS :
Parenthesis
Exponent
Multiply/Divide
Add/Subtract
n / 10^2 = 0.123
Get rid of the exponent by applying it to 10,
10^2 = 100
n/100 = 0.123
Now to get rid of the division, multiply the denominator (100) to both sides.
n/100 * 100 = 0.123 * 100
n = 12.3
Answer:
the greatest number of guests is 12 guests
Step-by-step explanation:
100÷8=12.5
You'll need to give a bit more information for the question to be answered. You can only calculate the percentage of error if you know what the mass of the substance *should be* and what you've *measured* it to be.
In other words, if a substance has a mass of 0.55 grams and you measure it to be 0.80 grams, then the percent of error would be:
percent of error = { | measured value - actual value | / actual value } x 100%
So, in this case:
percent of error = { | 0.80 - 0.55 | / 0.55 } x 100%
percent of error = { | 0.25 | / 0.55 } x 100%
percent of error = 0.4545 x 100%
percent of error = 45.45%
So, in order to calculate the percent of error, you'll need to know what these two measurements are. Once you know these, plug them into the formula above and you should be all set!
