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lisabon 2012 [21]
3 years ago
15

2b

" 2 b^{2} -26b+80=0??" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Lerok [7]3 years ago
4 0
Factor out it by 2.
2(b² - 13b + 40) = 0
b<span>²</span> - 13b + 40 =0
This equation can be solved using the quadratic formula. If you know what a quadratic formula is, then you can get the two values for b. For instance,
(b - 8)(b - 5) = 0

Separate the two "roots", you will get:
b - 8 = 0
b = 8
and
b - 5 = 0
b = 5

Therefore the two values of b are 8 and 5.
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I don't know for certain, but it looks like each c_i is supposed to be the representative value of f(x) over each subinterval [x_{i-1},x_i], so that the Riemann sum is given by

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The sum is then

\displaystyle\sum_{i=1}^4f(c_i)\Delta x_i=\left(\dfrac\pi4-0\right)\sin\dfrac\pi6+\left(\dfrac\pi3-\dfrac\pi4\right)\sin\dfrac\pi3+\left(\pi-\dfrac\pi3\right)\sin\dfrac{2\pi}3+\left(2\pi-\pi\right)\sin\dfrac{3\pi}2
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Read 2 more answers
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Answer/Step-by-step Explanation:

A. From the scatter plot attached below showing the number of flowers that have bloomed for days in the month of March, we can observe an upward trend which shows a positive correlation , and also, if we are to draw a single line in an attempt to connect the points together on a straight line as much as possible, we'd discover that the points are not far away from the single line. This implies not only a positive correlation coefficient, but also a correlation coefficient that is closer to 1. Hence, we can infer that correlation coefficient of r = 0.98 is accurate because of the aforementioned reasons. The trend denotes a string positive correlation.

B. A scenario that would be a causal relationship for flowers in a garden to bloom is the length of daylight received each day by the flowers. Length of daylight could be a factor influencing flower bloom. Or we can also make a scenario of comparing amount of fertilizer for flower development given to plants in comparison to the number of flowers.

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