Answer:the number of black tiles that Todd used is 27
Step-by-step explanation:
Let x represent the number of black tiles that Todd used.
Todd has 21 white tiles and some black tiles to make a mosaic. Each tile has an area of 3 square. It means that the total area of the white tiles is 21 × 3 = 63 cm^2
The total area of the white tiles is x × 3 = 3x cm^2
The mosaic has a total area of 144 Square centimeters. It means that
3x + 63 = 144
3x = 144 - 63 = 81
x = 81/3 = 27
Answer:
The prevalence of flu for the past year, as indicated from the survey participants, was of 17%.
Step-by-step explanation:
Given the survey, the prevalence of the flu, as a percentage, is given by:
Number of individuals diagnosed with flu, multiplied by 100, and divided by the size of the sample.
In this question, we have that:
Sample of 25,000, and 4,250 of those had been diagnosed with the flu at some point in the past year. So, the prevalence of the flu is given by:
The prevalence of flu for the past year, as indicated from the survey participants, was of 17%.
Answer: What is the question?
Step-by-step explanation:
Answer:
(x - 1) (x + 1) (x - 4) (x + 4)
Step-by-step explanation:
actor the following:
x^4 - 17 x^2 + 16
x^4 - 17 x^2 + 16 = (x^2)^2 - 17 x^2 + 16:
(x^2)^2 - 17 x^2 + 16
The factors of 16 that sum to -17 are -1 and -16. So, (x^2)^2 - 17 x^2 + 16 = (x^2 - 1) (x^2 - 16):
(x^2 - 1) (x^2 - 16)
x^2 - 16 = x^2 - 4^2:
(x^2 - 1) (x^2 - 4^2)
Factor the difference of two squares. x^2 - 4^2 = (x - 4) (x + 4):
(x - 4) (x + 4) (x^2 - 1)
x^2 - 1 = x^2 - 1^2:
(x^2 - 1^2) (x - 4) (x + 4)
Factor the difference of two squares. x^2 - 1^2 = (x - 1) (x + 1):
Answer: (x - 1) (x + 1) (x - 4) (x + 4)
