Answer:
f⁻¹(y) = y^(-7/17)
Step-by-step explanation:
f(x) = x^(-17/7)
To find the inverse, switch x and y, and solve for y.
x = y^(-17/7)
x^(-7/17) = y
Therefore, f⁻¹(y) = y^(-7/17).
<h3>
Answer: D. 3</h3>
This is a 30-60-90 triangle. The shortest leg (opposite the smallest angle) is half that of the hypotenuse, so y = 6/2 = 3.
Extra info: The long leg is sqrt(3) times the short leg, so x = y*sqrt(3) = x = 3*sqrt(3)
Answer:
The brother received 25% and the sister received 75%
Step-by-step explanation:
Answer:
Interest rate, R = 244%
Step-by-step explanation:
Given the following data;
Principal = $270
Simple interest = future amount - principal = 309.60 - 270 = $39.60
Time = 22/360 = 0.06 years
To find the interest rate?
Mathematically, simple interest is calculated using this formula;
Where;
Substituting into the equation, we have;
Cross-multiplying, we have;
<em>Interest rate, R = 244.44 ≈ 244%</em>
<em>Therefore, the pawnbroker charged Elisa a simple interest rate of 244%.</em>
Answer:
The larger number is 37. This makes the smaller number 56 - 37, which is 19.
Step-by-step explanation:
The first step is to pick variables for the two numbers. Lets call the smaller number x and the larger number y.
Since the sum of the two numbers is 56, this means that x + y = 56. Let's call this equation 1 and save it for later.
The next sentence says:
The smaller number is 18 less than the larger number. So, 18 less than the larger number would be y - 18. So, the smaller number must be equal to this, so
x = y - 18
Replace the x in equation 1 with y - 18
x + y = 56
(y-18) + y = 56 (replace x with y-18)
2y - 18 = 56 (add the y's)
2y = 74 (add 18 to both sides)
y = 37 (divide both sides by 2)
So, the larger number is 37. This makes the smaller number 56 - 37, which is 19.
Hope this helps!! :)
