Answer:
see the explanation
Step-by-step explanation:
we have

we know that
The radicand of the function cannot be a negative number
so

Solve for x
Multiply by -1 both sides

The domain of the function f(x) is the interval -----> (-∞, 0]
The domain is all real numbers less than or equal to zero
The range of the function f(x) is the interval ----> [0,∞)
The range is all real numbers greater than or equal to zero
<em>Example</em>
For x=144
----> is not true
This value of x not satisfy the domain
substitute
----> this value is undefined
For x=-144
----> is true
This value of x satisfy the domain
substitute
----> this value is defined
therefore
The function will be undefined for all those values of x that do not belong to the interval of the domain of the function
Answer:
Interest capitalization occurs when unpaid interest is added to the principal amount of your student loan. When the interest on your federal student loan is not paid as it accrues (during periods when you are responsible for paying the interest), your lender may capitalize the unpaid interest.
Step-by-step explanation:
Answer: [D]: " 196π in.³ " .
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Explanation:
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Given: radius, "r", equal 7 in.
Given: height, "h", equals 4 in.
Volume: V = Base area * h ;
The base area of a cone is a circle: A = π * r² = π* (7²) = 49π .
(NOTE: Since all answer choices given are in terms of "π" ; we will leave the units in terms of "π").
V = (Based area) * h = (49π in.) * (4 in.) = (49*4)π in.³
= 196π in.³ ; which is: Answer choice: [D] .
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21 divide by 4 is 5.25. She travels 5.25 miles per hour. 42 divide by 5.25 is 8. It would take 8 hours for Shelly to bike 42 miles.
Answer: 9/15 < 10/15
Step-by-step explanation: 9/15 < 10/15