Answer:
Below in bold.
Step-by-step explanation:
Using the point-slope form of a straight line equation:
y - y1 = m(x - x1)
y - (-1)) = -2/5(x - -10)
y + 1 = -2/5(x + 10)
y + 1 = -2/5x - 4
y = -2/5x - 5.
In standard form this is:
2x + 5y = -25.
To solve this equation, start by noticing that you want to find t when P is 75%, or 0.75. Plug in 0.75 for P. Please see the attached screenshot for a step-by-step. The correct answer is 29.496 days.
EDIT 2: I actually was correct! You check the answer by substituting 29.496 for t in the original equation set equal to 0.75. It is 0.75. I had forgotten the negative sign when I checked.
Considering the scatter plot, the function that best fits the data is given by:
f(x) = 3x².
<h3>What is the function that best fits the data?</h3>
To find the function that best fits the data, we have to look at the scatter plot, which gives a series of points (x,y).
We have that:
- When x increases, y also increases, hence the function is increasing, which removes the option f(x) = -3x.
- The increase looks "faster" than a linear increase, hence a quadratic model should be used, thus removing option f(x) = 3x.
Hence the function that best fits the data is given by:
f(x) = 3x².
More can be learned about scatter plots at brainly.com/question/22968877
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Answer:
15
Step-by-step explanation:
$100 / 10 pounds = $10 / pound
$150 / 10 dollars = 15 pounds of onions
In the first question,
Since D is the midpoint of line segment AC.
therefore, AD=DC.
In triangles, ABD & CBD.
Since, AB is congruent to CB and BD is a common side between those two triangles.
Therefore, AD is congruent to DC.
Finally, in triangles DEA & DEC
Since, ED line segment is a common side between those triangles and the measure of angle EDA is as the same of angle EDC which are equal to 90 degrees and AD is congruent to DC.
Therefore, triangle EDA is congruent to triangle EDC ( you have to take care of the triangle order letters in congruence) and EC is congruent to EA.
