9514 1404 393
Answer:
the listed sequences have no common difference(s)
Step-by-step explanation:
The differences in the first sequence are ...
8, 10, -1, 19
These values are not equal, so there is no common difference.
__
The differences in the second sequence are ...
-3, 3, -3, 3
These values are not equal, so there is no common difference.
_____
The difference is the difference between a term value and the one before.
1 -(-7) = 8
3 -6 = -3
Answer:
B.) 2 3/4 + (-4 1/4) = -1 2/4
Step-by-step explanation:
blue line: forward with positive +
red line: backward with negative -
so the number line follows:
+ -
= -1 2/4
Combining the like terms, the simplified polynomials are given as follows:
a) 4x² - 14x + 17
b) -5x² - 20x + 8
<h3>How are polynomials simplified?</h3>
Polynomials are simplified combining the like terms, that is, adding these numbers with the same variable.
Item a:
4(x - 2)(x + 1) - 5(2x - 5)
Applying the distributive property:
4(x² - x - 2) - 10x + 25
4x² - 4x - 8 - 10x + 25
Combining the like terms:
4x² - 4x - 10x - 8 + 25
4x² - 14x + 17
Item b:
-5(x + 2)² + 28
-5(x² + 4x + 4) + 28
-5x² - 20x - 20 + 28
-5x² - 20x + 8
More can be learned about the simplification of polynomials at brainly.com/question/24450834
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Answer:
Check Explanation.
Step-by-step explanation:
The sample will be a representative of the entire build us in the city.
For a sample size 35, 3 have fire code violations, hence, the proportion of houses with fire code violations = (3/35) = 0.0857 = 8.57 %
The uncertainty in the estimate is given in the form of standard error.
Standard error = √[(p(1-p)/n]
n = sample size = 35, p = 0.0857, 1 - p = 0.9143
Standard error of the sample = √(0.0857×0.9143/35) = 0.1616
In terms of the population, (0.1616/35) = 0.00462
Proportion of buildings with fire code violations = (8.57 ± 0.462) %
Answer:
can you take a better picture?
Step-by-step explanation: