Question

1. Describe how to transform the quantity of the third root of x to the fourth power, to the fifth power into an expression with a rational exponent. Make sure you respond with complete sentences.
2. Solve the equation the square root of the quantity x plus 4 minus 3 equals 1 for the variable. Show each step of your solution process.
3.Let f(x) = x2 + x + 2 and g(x) = 2x2 + 5. Find f(g(x)). Show each step of your work.
4.Given the expression 5a2b − 13ab + 7a3 − 4b, do the following as instructed below:
A: Write the polynomial in descending order.
B: Classify the polynomial by the number of terms.
C: State the degree of the polynomial.

Answer 1

1. Convert the root into a fractional power.   A root of a number is the number to the power of the inverse of that root number.  When an exponent is outside a brackets you multiply the exponents.

2.Square root (x+4)    -3=1

square root (x+4)=4

(x+4)=(4^2)

x+4=16  

x=12

3. f(g(x))=(2x^2+5)^2+2x^2+5+2

f(g(x))=4x^4+20x^2+25+2x^2+7  

f(g(x))=4x^4+22x^2+32

4.

A. The descending order of this expression is 7a^3+5a^2b-13ab-4b.

B. This is a polynomial.

C. This is a 3rd degree polynomial.

If there is any confusion please leave a comment below.

Answer 2

Answer:

thanx....................