Using the two given solutions and the general absolute value function we will get:
|x + 9| = 27
<h3>
Which absolute value function has that solution set?</h3>
The two solutions are:
x = 0 and x = -18.
Remember that the absolute value equation is something like:
|x - a| = b
If we want to have these solutions, then:
|0 - a| = b
|-18 -a| = b
From the first one, we have:
|-a| = b
Replacing that on the second equation we get:
|-18 -a| = |-a|
Notice that if we take a = -9, then we have:
|-18 + 9| = |+9|
|-9| = |+9|
This is true, so a = -9.
Then we find the value of b:
|18 + 9| = b = 27
Then the absolute value equation is:
|x + 9| = 27
If you want to learn more about absolute value equations, you can read.
brainly.com/question/3381225
Answer:
3rd option
Step-by-step explanation:
Given
y + 
= 6 ( multiply through by 4 to clear the fraction
4y + 3 = 24 ( subtract 3 from both sides )
4y = 21 ( divide both sides by 4 )
y = 
= 5 
An hemispherical dome is half a sphere. If the diameter is 60 m, then the radius is 30 m.
We can use differentials to solve this problem because we are adding a thin layer to the original dome, so the volume of the dome in increased by a differential of itself.
This differential volume that the dome is increased is equal to the volume of the coat of paint.
The volume of the dome can be written as:
Now, we can calculate dV as:
Answer: the paint needed for this coat is approximately 7.92 m^3
Answer:
No, it is not a representative sample
Step-by-step explanation:
The sampling technique used above is more of a random sampling than a representative sampling. Reason is that;
A representative sample is referred to as a group or set selected from a larger population that satisfactorily represent the population in study in accordance to whatever criteria is under study.
The criteria could be age, sex, class, etc.
Another reason why it can't be considered as a representative sample is that, using representative sampling makes sure that all relevant types of people are included in your sample and that the right mix of people are interviewed.
In the question above, anybody can submit his or choice and number of submissions is not limited.
Answer:
The cube root of -8 is -2
Step-by-step explanation:
Factor the numbers 8=2^3
-∛2³
Apply radical rule;
∛2³=2
=-2
HOPE THIS HELPED!!!
