The answer is no because when we basically divide the number , we always choose the result of the division [quotient] to be like the largest whole number of divisors possible to fit into the thing being divided [dividend] , when we realized that the divisor doesn't exactly divide the dividend , we set things up so the leftover falls short . Then we use fractions or decimals , one can put the remainder over the divisor , and the result is a mixed number.
Anyways a remainder is always less than a divisor .
Answer:
x = 9
Step-by-step explanation:
We are going to isolate x
14 - x = 5
subtract 14 from 5
-x = -9
multiply both sides by -1 to make x positive
x = 9
Answer:
(1/2) cm = x
Step-by-step explanation:
This box has the shape of a cube. The formula for the volume of a cube is V = x^3, where x is the length of any one side of the cube.
Here the volume is (1/8) cm^3. We set this equal to x^3 and solve for x:
Taking the cube root of both sides, we get:
(1/2) cm = x
Answer:
1.80 in^3
1.0 fluid ounces^3
Step-by-step explanation:
volume of a cone = 1/3 πr²h
π = 3.14
r = 2.2 / 2 = 1.1
h = the value of h can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
1.8² = 1.1² + b²
3.24 = 1.21 + b²
3.24 - 1.21 = b²
2.03
b = √2.03 = 1.42
Volume = 1/3 x 3.14 x 1.21 x 1.42 = 1.80 in^3
1.80 x 0.554 = 1.0 fluid ounces^3
The inverse of the function are respectively; f⁻¹(3) = 2 and f⁻¹(8) = 8.5
<h3>How to find the inverse of a Function?</h3>
The formula to find the equation of this function using two coordinates is;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
Using the first 2 coordinates, we have;
(y - 1)/(x + 1) = (3 - 1)/(2 + 1)
(y - 1)/(x + 1) = 2/3
3y - 3 = 2x + 2
3y = 2x + 5
y = ¹/₃(2x + 5)
Thus, the inverse is;
f⁻¹(x) = (3x - 5)/2
Thus;
f⁻¹(3) = (3*3 - 5)/2
f⁻¹(3) = 2
Similarly;
f⁻¹(x) = (3x - 5)/2
Thus;
f⁻¹(8) = (3*8 - 5)/2
f⁻¹(8) = 8.5
Read more about Inverse of a Function at; brainly.com/question/11735394
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