Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
we have
![f(x)=\sqrt[3]{x} +1](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D%20%2B1)
Part 1) Find f(125)
we know that
f(125) is the value of the function f(x) when the value of x is equal to 125
so
For x=125
substitute in the function
![f(125)=\sqrt[3]{125} +1](https://tex.z-dn.net/?f=f%28125%29%3D%5Csqrt%5B3%5D%7B125%7D%20%2B1)
Remember that
substitute
![f(125)=\sqrt[3]{5^{3}} +1](https://tex.z-dn.net/?f=f%28125%29%3D%5Csqrt%5B3%5D%7B5%5E%7B3%7D%7D%20%2B1)
Applying the power of rule
![\sqrt[3]{5^{3}}=(5^{3})^{\frac{1}{3}}= (5)^{3*\frac{1}{3}}=5](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5%5E%7B3%7D%7D%3D%285%5E%7B3%7D%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D%20%285%29%5E%7B3%2A%5Cfrac%7B1%7D%7B3%7D%7D%3D5)
substitute
Part 2) Find f(-64)
we know that
f(-64) is the value of the function f(x) when the value of x is equal to -64
so
For x=-64
substitute in the function
![f(-64)=\sqrt[3]{-64} +1](https://tex.z-dn.net/?f=f%28-64%29%3D%5Csqrt%5B3%5D%7B-64%7D%20%2B1)
Remember that
substitute
![f(-64)=\sqrt[3]{-4^{3}} +1](https://tex.z-dn.net/?f=f%28-64%29%3D%5Csqrt%5B3%5D%7B-4%5E%7B3%7D%7D%20%2B1)
Applying the power of rule
![\sqrt[3]{-4^{3}}=(-4^{3})^{\frac{1}{3}}= (-4)^{3*\frac{1}{3}}=-4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-4%5E%7B3%7D%7D%3D%28-4%5E%7B3%7D%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D%20%28-4%29%5E%7B3%2A%5Cfrac%7B1%7D%7B3%7D%7D%3D-4)
substitute
Answer:
y > 3x+2
Step-by-step explanation:
We have 2 points so we can find the slope
m = (y2-y1)/(x2-x1)
= (2--7)/(0--3)
= (2+7)/(0+3)
= 9/3
= 3
The y intercept is 2, so we can write the equation of the line using the slope intercept form (y=mx+b)
y = 3x+2
The line is dotted so we use either < or > (If it were solid we would use ≤ or ≥)
Since it is shaded above , y is greater than.
y > 3x+2
Answer:
In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary unit, that satisfies the equation i² = −1. Because no real number satisfies this equation, i was called an imaginary number by René Descartes.
Step-by-step explanation:
Complex Integer
(or Gaussian integer), a number of the form a + bi, where a and b are integers. An example is 4 – 7i. Geometrically, complex integers are represented by the points of the complex plane that have integral coordinates.
Complex integers were introduced by K. Gauss in 1831 in his investigation of the theory of biquadratic residues. The advances made in such areas of number theory as the theory of higher-degree residues and Fermat’s theorem through the use of complex integers helped clarify the role of complex numbers in mathematics. The further development of the theory of complex integers led to the creation of the theory of algebraic integers.
The arithmetic of complex integers is similar to that of integers. The sum, difference, and product of complex integers are complex integers; in other words, the complex integers form a ring.
Answer:
5 5/8 in. long
Step-by-step explanation:
8 1/8-2 2/4 (4/8)= 5 5/8
Answer:
3+18=21
Step-by-step explanation:
first see the second number
let us assume as x & y
3+ (3×6)= 21
3+18=21
