Answer:
D. 5/72
Step-by-step explanation:
The non-zero digits are 1 through 9.
There are 9 different non-zero digits.
p(A) = 1/9
There are 5 odd digits.
p(B) = 5/8
p(A and B) = p(A) × p(B) = 1/9 × 5/8 = 5/72
The inverse of the equation y = x^2 + 9 is
<h3>How to determine the equation inverse?</h3>
The equation is given as:
y = x^2 + 9
Subtract 9 from both sides
x^2 = y - 9
Take the square root of both sides
Hence, the inverse of the equation y = x^2 + 9 is
Read more about inverse equations at
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Answers:
- Domain is (-4, 3]
- Range is (-5, 5]
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Explanation:
The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that . It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).
The interval then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.
It says: x is between -4 and 3. It can't equal -4 but it can equal 3.
So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.
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The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.
The range as a compound inequality is . This condenses into the shorthand of (-5, 5] which is the range in interval notation.
Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.
Answer: 20
Step-by-step explanation:
If the number is greater then 5 ( ex: 9, 8, 7) it will be rounded to the nearest whole number which in this equation would be 20
Hello There!
All we must do is plug in the numbers and solve:
8(0.25)-1=14=2-1+14=1+14=15
Hope it helps