The interval where the function is increasing is (3, ∞)
<h3>Interval of a function</h3>
Given the rational function shown below
g(x) = ∛x-3
For the function to be a positive function, the value in the square root must be positive such that;
x - 3 = 0
Add 3 to both sides
x = 0 + 3
x = 3
Hence the interval where the function is increasing is (3, ∞)
Learn more on increasing function here: brainly.com/question/1503051
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Answer:
32 and 40
Step-by-step explanation:
Let's call the smaller number x. If the smaller number is x, the equation for this problem is 2x + 8 = 72
Equation:
2x + 8 = 72
2x = 64
x = 32
So now we know the smaller number is 32, so now add 8 and we get 40.
Therefore the 2 numbers are 32 and 40
First let's start with the relationship between grams and centigrams and grams and milligrams.
1 gram = 100 centigrams
1 gram = 1000 milligrams
Because these two equations are equal, we can rewrite our equation as 100 centigrams = 1000 milligrams.
Now we divide by 100 to simplify our equation to 1 centigram = 10 milligrams.
With this simplified equation we see that we multiply the number of centigrams by 10 to find the equal number of milligrams.
Answer:
32 and 58
Step-by-step explanation:
Let's set up equations.
The sum of two numbers (x and y) is 90: x + y = 90
The larger number (y) is 6 less than twice the smaller number (x): y = 2x - 6
We have our system of equations:
x + y = 90
y = 2x - 6
Let's use substitution.
Substitute y = 2x - 6 into the first equation.
x + y = 90
x + (2x - 6) = 90
Combine like terms.
x + 2x - 6 = 90
3x - 6 = 90
Add 6 to both sides to isolate x.
3x = 96
Divide both sides by 3 to further isolate x.
x = 32
Now that we know x, let's find y.
Plug in x = 32 into one of our original equations.
y = 2x - 6
y = 2(32) - 6
Multiply.
y = 64 - 6
y = 58
Now we have x = 32, y = 58.
Check your answer by plugging these values into one of our original equations.
x + y = 90
32 + 58 = 90
Add.
90 = 90
Your solution is correct.
Hope this helps!
Answer:
Step-by-step explanation:
<u>The inequality as per question:</u>
<u>Its solution is:</u>
It means on the number line a closed circle is at 80 and shaded area is to the right
Correct choice is C
