The simplest radical form is
Explanation:
The expression is
To determine the radical form, let us write the number 68 as a product of prime factors.
Thus, we have,
Since, 2, 17 are prime factors and hence, no further factorization is possible.
Hence, it can be written as,
Applying the radical rule , we have,
Simplifying, we have,
Thus, the simplest radical form is
Answer:
The values of y are 1 , 2 , 5 , 10 ⇒ answer B
Step-by-step explanation:
* We will use the substitution method to solve the problem
- The quadratic equation is y = x² + 4x + 5
- The values of x are -2 , -1 , 0 , 1
- We will substitute the values of x in the equation to find the
values of y
# At x = -2
∵ y = x² + 4x + 5
∵ x = -2
∴ y = (-2)² + 4(-2) + 5 = 4 - 8 + 5 = 1
∴ y = 1
# At x = -2
∵ y = x² + 4x + 5
∵ x = -1
∴ y = (-1)² + 4(-1) + 5 = 1 - 4 + 5 = 2
∴ y = 2
# At x = 0
∵ y = x² + 4x + 5
∵ x = 0
∴ y = (0)² + 4(0) + 5 = 0 + 0 + 5 = 5
∴ y = 5
# At x = 1
∵ y = x² + 4x + 5
∵ x = 1
∴ y = (1)² + 4(1) + 5 = 1 + 4 + 5 = 10
∴ y = 10
* The values of y are 1 , 2 , 5 , 10 ⇒ from left to right
We know that
[volume of a sphere]=(4/3)*pi*r³-------> r=∛[(3*Volume)/(4*pi)]
r=∛[(3*Volume)/(4*pi)]------> r=∛[(3*3052.08)/(4*pi)]----> r=∛729
r=9 cm
[volume of a cylinder]=pi*r²*h
r=9 cm
h=2*r----> 2*9 -----> 18cm
[volume of a cylinder]=pi*r²*h----->pi*9²*18---> 4578.12 cm³
the answer is
4578 cm³
G(x) = 4f(x)
x f(x) g(x)
-8 3 12
-5 2 8
0 5 20
3 1 4
9 6 24
The quadratic formula works for every quadratic equation, with no exception. Other methods are often tedious and time-consuming, such as completing the square, and others don't work in all situations, such as factoring. Being universal, the quadratic equation becomes an essential tool to solve any quadratic function with little to no thinking, due to the simple solving nature of it.