A)1.33333333333333333333333333333333333333333 Repeating
The expression as a power is x¹⁰.
Given, the expression is xx⁴x⁴x
In exponents we have the power rule while multiplying.
the rule is that when bases are same, powers are added.
Exponent multiplication is the process of multiplying two terms with exponents. Depending on the base and the power, specific rules apply when multiplying exponents.
⇒ xx⁴x⁴x
base is same, power should be added.
⇒ x¹⁺⁴⁺⁴⁺¹
= x¹⁰
Hence the expression as a power is x¹⁰.
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These are two questions and two answers:
Question 1:
<span>A
quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe
the solution(s) to the equation by just determining the radicand. Show
your work.
Answer: </span><span>The negative value of the radicand means that the equation does not have real solutions.
Explanation:
1) With radicand the statement means the disciminant of the quadratic function.
2) The discriminant is: b² - 4ac, where a, b, and c are the coefficients of the quadratic equation: ax² + bx + c
3) Then, for 3x² - 15x + 20, a = 3, b = - 15, and c = 20
and the discriminant (radicand) is: (-15)² - 4(3)(20) = 225 - 240 = - 15.
4) The negative value of the radicand means that the equation does not have real solutions.
Question 2:
Part B: Solve 3x^2 + 5x − 8 = 0 by using an appropriate
method. Show the steps of your work, and explain why you chose the
method used.
Answer: </span> two solutions x = 1 and x = - 8/3x
Explanation:
1) I choose factoring (you may use the quadratic formula if you prefer)
2) Factoring
Given: 3x² + 5x − 8 = 0
Make 5x = 8x - 3x: 3x² + 8x - 3x - 8 = 0
Group: (3x² - 3x) + (8x - 8) = 0
Common factors for each group: 3x(x -1) + 8(x - 1) = 0
Coomon factor x - 1: (x - 1) (3x + 8) = 0
The two solutions are for each factor equal to zero:
x - 1 = 0 ⇒ x = 1
3x + 8 = 0 ⇒ x = -8/3
Those are the two solutions. x = 1 and x = - 8/3
Combine like terms so add 4b and 15b together and add 7 and 3 together and then the answer would be 19b-10
Answer:
The answer is B-15:18 based on a 24hr clock
