yes, there are infinitety many polynomial that have exactly one real root just like your example, to determine the real root first let the real root is a, and the complex roots are b±ic the polynomial satisfy

-9x³ + 19x² + 17 = -(x - a)(x - b - ic)(x - b + ic)

9x³ - 19x² - 17 = (x - a)(x - b - ic)(x - b + ic)

5 0

3 years ago

what is the solution to set to the inequality (4x-3)(2x-1)_>0 a) {x|x<_3 or x_>1} b) {x|x<_2 or x_> 4/3} c) {x|x&

Vinil7 [7]

(4x - 3)(2x - 1) ≥ 0
4x - 3 ≥ 0 or 2x - 1 ≤ 0
+ 3 + 3 + 1 + 1
4x ≥ 3 2x ≤ 1
4 4 2 2
x ≥ ³/₄ x ≤ ¹/₂
x ∈ [-∞, ¹/₂] ∧ [³/₄, ∞]

The answer is C.

6 0

3 years ago

Read 2 more answers

HELLPPP????? PLEASEEEESSSS

Verdich [7]

Answer:

$\boxed{43.48 \, \%}$

Step-by-step explanation:

The formula for calculating percentage is

$\text{Percentage} = \dfrac{\text{Part }}{\text{Whole}} \times 100 \, \%$

The "part" is the number of single-shot espressos

The "whole" is the total number of espressos.

$\begin{array}{rcl}\text{Total espressos} & = & 46\\\text{-Single-shot espressos} & = & 26\\\text{Double-shot espressos} & = & 20\\\end{array}$

$\text{ \% Double-shot}=\dfrac{20}{46} \times 100 \, \% =\mathbf{43.48 \, \%}\\\\\boxed{\mathbf{43.48 \, \%}} \text{ of the espressos were double-shot}$

8 0

3 years ago