Step-by-step explanation:
f(x) = x² + 1, where x >= 0.
Let y be f(x).
=> y = x² + 1
=> x² = y - 1
=> x = √(y - 1) because x is non-negative.
Hence f^-1(x) = √(x - 1), where x >= 1.
Answer:
(3n - 8)(2n + 5)
Step-by-step explanation:
6n² - n - 40
Consider the factors of the product of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term
product = 6 × - 40 = - 240 and sum = - 1
The factors are - 16 and + 15
Use these factors to split the n- term
6n² - 16n + 15n - 40 ( factor the first/second and third/fourth terms )
2n(3n - 8) + 5(3n - 8) ← factor out (3n - 8) from each term
(3n - 8)(2n + 5)
Then
6n² - n - 40 = (3n - 8)(2n + 5)
Answer:
∠ B = 116°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , that is
∠ B + 28° + 36° = 180°
∠ B + 64° = 180° ( subtract 64° from both sides )
∠ B = 116°
Answer:
the factored equation is ((x^3) + 3x^2) + 2x = 0
Step-by-step explanation:
*The ^ means to the power of.
so you should start off by splitting it into ways, like isolate 2x and start with x^3 and 3x^2, if thats the wrong answer u are not looking for then the other formula is x^3 + 3x^2 + 2x = x • (x^2 + 3x + 2), again just splitting it into ways. since we know the equation is = to 0, we put 2 of them together, and since you can divide everything by x and just put x outside to keep it the same, it would become x^3 + 3x^2 + 2x = x • (x^2 + 3x + 2).
Your Welcome
Answer:13.5 inches
Step-by-step explanation:
Here, the volume of a right circular cone varies jointly as the altitude and the square of the radius of the base
So our equation for volume becomes
V = c*h*r^2
where 'h' is altitude and 'r' is radius of base and 'c' is constant
Putting the value of V,h,r,
we get,
154 = c*12*3.5*3.5
c = 22/21
Now we have volume = 77 cu and radius of the base =7/3, so putting the values we get,
77 = 22/21*h*7/3*7/3
or, h= 13.5
Hope it helps!!!
