Answer:
y=27 when x=2
Step-by-step explanation:
y varies inversely as the cube of x
y=k(1/X^3)
y=1 when x=6
y=k(1/X^3)
1=k(1/6^3)
1=k(1/216)
k=1÷1/216
K=1×216/1
k=216
find y when x=2
y=k(1/X^3)
y=216(1/2^3)
y=216(1/8)
y=216/8
y=27
4.
4^3 = 64
64X64 = 4096
4^6 = 4096
Area = length *width
A = x²
3x² = (x+10)(x+12)
3x² = x²+10x+12x+120
3x² = x²+22x+120
3x²-3x² = x²+22x+120-3x²
0 = -2x²+22x+120
Factor to solve for x:
-2(x²-11x-60)
(x+4)(x-15)
x = -4 & x = 15 but we can't have a negative length so we eliminate 4. The length of the square is 15 cm.
The sum of two numbers
5.036.
first number: one number has 4 in the tenths place, 7 in the thousandths
place.
=> x.4x7
2nd number: 1 in ones place and 2 in the hundredths place.
=> 1.x2x
Now, we have the 2 numbers with given clues:
=> x.4x7 + 1.x2x, where x is the missing number.
Note that in adding numbers, we start from the right most.
=>x.4x7 + 1.x2x = 5.036
=> x.4x7 + 1.x29
=> x.407 + 1.x29
=> x.407 + 1.629
=> 3.407 + 1.629
=> 5.036
The names of the functions in the attached figure are:
- Cubic function
- Absolute value function
- Square root function.
- Rational function.
- Quadratic function
<h3>How to name the functions?</h3>
Functions can be named by their parent functions.
This is so because functions derive their properties from their parent functions.
There are several parent functions, some of them are:
- Linear equation
- Exponential equation
- Quadratic equation
- Rational equation
- Logarithmic equation
- Square root equation
- Cubic equation
- Cube root equation
Using the above as a guide, the names of the functions in the attached figure are:
- Cubic function
- Absolute value function
- Square root function.
- Rational function.
- Quadratic function
Read more about parent functions at:
brainly.com/question/17079244
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