"The inverse of every function must be a function itself." State whether you agree or disagree with the statement providing evidence to support your position.
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A function that is its own inverse is called a involution. It is not necessary the inverse of every function must be a function itself.”
Step-by-step explanation:
Inverse is a function that reverse itself
Lets ,consider an equation used to convert temperature in degrees Fahrenheit( F), to a temperature in degrees Celsius,(C)
C=3/9(F-32)
But suppose ,we want a equation that did the reverse that means it converted a temperature in degrees Celsius to a temperature in degrees Fahrenheit. Then we inverse the function as
F=3/9(C+32)
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Answer:
30%
Step-by-step explanation:
Answer:
65%
Step-by-step explanation:
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Answer:
x=0
Step-by-step explanation:
9x-7=-7
Add 7 to each side
9x-7+7=-7+7
9x = 0
Divide each side by 9
9x/9 = 0/9
x = 0
(Add 7 to the other side)
9x = -7 + 7
9x = 0
=> x = 0
(You can substitute x back to check for the answer)
9(0) - 7 = -7
0 - 7 = -7
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Step-by-step explanation: To multiply the square root of 3 times the square root of 21, we simply multiply the numbers that are inside the square roots together.
So, root 21 × root 3 equals root 63.
Next, we simplify the square root of 63. 63 factors as 3 x 21 and 21 factors as 3 x 7. So we have a pair of 3's which means a 3 can come out of the radical and the 7 doesn't pair up stays in the radical so our final answer is .
3√7 is the simplified value of the given expression.
To simplify the expression √3 * √21, we can combine the square roots and simplify under one radical if possible.
√3 * √21 = √(3 * 21)
Simplifying the product inside the radical:
√(3 * 21) = √63
Now, we can simplify further by factoring 63 into its prime factors:
√(3 * 21) = √(3 * 3 * 7)
Taking the square root of each factor:
√(3 * 3 * 7) = √3 * √3 * √7 = 3 * √7
Therefore, √3 * √21 simplifies to 3√7.
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Answers
Answer:
y = 2x + 3
Step-by-step explanation:
To find the equation of a line, you need 2 things:
1) gradient/slope
2) 1 set of x and y coordinates
To find the slope:
If 2 lines are parallel, they have exactly the same gradient.
So, this line will have a slope of 2 as well (the slope of a line is the coefficient of x in the equation).
To find the equation of the line:
Start with this generic equation:
y - y1 = m (x-x1)
We know that:
(x1, y1) -> (-2, -1) and m= 2
So, we can substitute for the equation:
y- (-1) = 2 (x -(-2))
Simplify, by expanding the brackets:
y + 1= 2 (x+2)
y + 1 = 2x + 4
Rearrange for y:
y = 2x + 3
To double check:
1) The coefficient of x is the slope, we have 2x and the slop is 2, so that's correct
2) Sub in x= -2, and you should get y=-1
y = -4 + 3 = -1, so that's correct too
Hope that helped : )
Activity
Number of students
Spanish Club
Basketball
24
Drama Club
16
Homework Help
20
Which does the ratio 17 44 represent?
Answers
Answer:
The answer is B
Step-by-step explanation:
Final answer:
The ratio 17:44 represents the number of students attending the Spanish Club to the number of students attending Basketball.
Explanation:
The ratio 17:44 represents the number of students attending the Spanish Club to the number of students attending Basketball. To determine the ratio, divide the number of students attending the Spanish Club (24) by the number of students attending Basketball. So, the ratio is 24/16 = 17/44.
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