F(x) = x2 - 5.
For the function shown, what is the range of the function when the domain is {2, 4, 7}?
Answers
Img f(x)={2²-5,4²-5,7²-5}={-1,11,44}
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Question 5 (6 points) Write the equation of the line that passes through (1,3) and (-2,9)
Answers
Answer:
The answer to your question is: the second option
Step-by-step explanation:
a) This is not the right answer, the sentence to this option could be: fourteen more than the quotient of five and a number is 23.
b) This is the right option, the sentence is given in the description.
c) This is not the right answer, the sentence to thi option could be: the quotient of fourteen plus a number and five is 23.
d) This is not the right answer, the sentence of this option could be: the quotient of five and the addition of a number and fourteen is 23.
Final answer:
The equation representing the given number sentence is x/5 + 14 = 23.
Explanation:
The number sentence is "Fourteen more than the quotient of a number and 5 is 23." To represent this as an equation, we need to translate the words into mathematical symbols. Let's say the number is represented by x. The quotient of a number and 5 is x/5. Fourteen more than x/5 is x/5 + 14. So, the equation representing the number sentence is x/5 + 14 = 23.
Learn more about Equations here:
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Answers
Answer: 880
Step-by-step explanation:
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Answer:
A point (a, b) rotated around a point (x, y) 180 degrees will transform to point (-(a - x) + x, -(b - y) + y). A point (a, b) rotated around the origin 270 degrees will transform to point (b - y + x, -(a - x) + y).
Step-by-step explanation:
Answers
FICA (monthly) = ($2,478.15)(0.062)
= $153.636
Multiplying that amount by 12 (since there are 12 months in a year) is equal to $1843.632. Thus, $1843.632 was deducted from Eleanor's pay last 2010 for FICA.
$93.32
b.
$95.40
c.
$211.33
d.
$253.60
Answers
Answer:
The monthly payment is $93.32 ⇒ answer a
Step-by-step explanation:
* Lets explain how to solve the problem
- The monthly payment is
where:
# P is the loan amount
# r is the rate per period in decimal
# n is the number of periods
- The loan is $3000
- We need to find the monthly payment
∴ P = $3000
- The compound monthly interest is 7.5% for 36 months
∵ The period is 12 (1 year = 12 months)
- Divide the rate as a decimal by 12
∴
∴ r = 0.00625
∴ n = 36
* Lets calculate the monthly payment using the rule above
∵ Monthly payment =
∴ The monthly payment is $93.32
Answer:
$93.32
Step-by-step explanation:
Answers
To find the distance between the points (a, a) and (b, b), we can use the distance formula. The distance formula calculates the distance between two points in a coordinate plane.
The distance between two points (x1, y1) and (x2, y2) is given by the formula:
Distance = √((x2 - x1)² + (y2 - y1)²)
In this case, since the points are (a, a) and (b, b), we substitute a for both x1 and y1, and b for both x2 and y2:
Distance = √((b - a)² + (b - a)²)
Simplifying this expression further:
Distance = √((b - a)² + (b - a)²) = √(b² - 2ab + a² + b² - 2ab + a²) = √(2a² + 2b² - 4ab)
Therefore, the distance between the points (a, a) and (b, b) is √(2a² + 2b² - 4ab).