The inverse of the given function is f⁻¹(x) = x + 9. The correct option is a f⁻¹(x) = x + 9
From the question, the given function is
f(x) = x - 9
To determine the inverse of this function,
That is,
y = x - 9
To do that, add 9 to both sides
We get
y +9 = x - 9 +9
y + 9 = x
∴ x = y + 9
That is,
f⁻¹(x) = x + 9
Hence, the inverse of the given function is f⁻¹(x) = x + 9. The correct option is a f⁻¹(x) = x + 9
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Answer:
F^-1(x) = x+9
Step-by-step explanation:
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How many more ice cream cones would it have had to sell during the week to meet its goal?
A. 15
B. 25
C. 35
D. 5
Answer:
15 !
Step-by-step explanation:
We are required to calculate the number of days it would take the apprentice working alone
The number of days it takes the apprentice working alone is 6 days
let
Number of days taken for the carpenter to work alone = x
Number of days taken by the apprentice to work alone = 2x
Number of days taken to work together = 2 days
Work done per day Carpenter = 1/x
work done per day apprentice = 1/2x
work done per day together = 1/2
So,
work done per day together = Work done per day Carpenter + work done per day apprentice
1/2 = 1/x + 1/2x
1/2 = (2 + 1) / 2x
1/2 = 3/2x
cross product
1(2x) = 2(3)
2x = 6
x = 6/2
x = 3 days
Therefore,
Number of days taken by the apprentice to work alone = 2x
= 2(3)
= 6 days
Read more:
Answer:
6 days
Step-by-step explanation:
Let the time taken by Carpenter working alone = days
Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2 days
Time taken working together = 2 days
Work done in one day working together =
Work done in one day by Carpenter working alone =
Work done in one day by apprentice working alone =
Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone = + = Work done in one day working together =
Time taken by Carpenter alone to complete the work = 3 days
Time taken by Apprentice alone to complete the work = 3 2= 6 days
First, we are going to find the conjugate of our complex number. Remember that to find the conjugate of a complex number we just need to keep the real part and change the sing of the imaginary part.
We can infer from our problem that the real part of our complex number is 3 and its imaginary part is . We are going to keep the real part 3 and change the imaginary part from positive to negative, so our conjugate is .
Next, we are gong to multiply both the complex number and its conjugate using the distributive property:
Remember that , so:
We can conclude that the product of the multiplication of the complex number 3+3i and its conjugate, 3-3i, is 18.
Product of complex number and its conjugate will be 18 .
Complex number : x ± iy
Given , 3 + 3i
Conjugate pair of complex number = x ± iy
So, the complex conjugate pair are :
3 + 3i and 3 - 3i
Product of complex conjugate pair,
(3 + 3i) (3 - 3i)
Open the brackets,
= 9 - 9i + 9i - 9i²
Here, i = √-1 ; i² = -1
Substitute the value of iota(i),
= 9 -9i + 9i +9
= 18
Thus the product value is 18.
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Answer:
24
Step-by-step explanation:
Ok, so we see that we have 6 as a leg of the right triangle and 10 as the hypotenuse. As we look closer, we can tell that this makes the Pythagorean triple 6, 8, 10. 6, 8, 10 is just the Pythagorean triple 3, 4, 5 but it is multiplied by 2. So now that we know both the legs of this right triangle, we can use the area of a triangle formula (bh)/2. 6*8=48 and 48/2 = 24 which gives us our answer.