R^2(3rst^4)^2 Can someone please solve it!
1 answer:
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Answer:
a) 12
b) y +5 = 12(x +2)
Step-by-step explanation:
The slope of a function is its derivative.
a) The slope of y = x^3 +3 at any point is y' = 3x^2. So, at the point where x=-2, the slope of the curve is ...
m = 3(-2)^2 = 12 . . . . slope at (-2, -5)
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b) The equation of the tangent line is most easily written using the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +5 = 12(x +2) . . . . line with slope 12 through point (-2, -5)
Question # 55
We can see the trend from the given graph. From Monday to Thursday the price kept on decreasing while on Friday it increased. So first the price decreased and then increased.
Therefore, the correct answer to this question is option C. The price decreased at the beginning of the week and then increased at the end of the week.
Question # 56.
The schedule of athlete allows no more than 75 minutes of training. This means the training time is 75 minutes or less. One round of strength training requires 8 minutes. So s rounds of strength training will require 8s minutes. One round of endurance training require 12 minutes, so e rounds of endurance training will require 12e minutes.
The total time of both these trainings can be written as:
8s + 12e
We know that the time can be 75 minutes or lesser. So we can write the inequality as:
8s + 12e ≤ 75
So, option H is the correct answer
Question 57
The given equation is:
2y = - 3(x - 2)
In order to identify the slope we need to write the equation if slope intercept form. When written in slope intercept form, the coefficient of x term is the slope of the line. In order to write in slope intercept form, isolate y on one side as shown below:
So, the slope of line is -3/2.
Hence option B is the correct answer
We can see the trend from the given graph. From Monday to Thursday the price kept on decreasing while on Friday it increased. So first the price decreased and then increased.
Therefore, the correct answer to this question is option C. The price decreased at the beginning of the week and then increased at the end of the week.
Question # 56.
The schedule of athlete allows no more than 75 minutes of training. This means the training time is 75 minutes or less. One round of strength training requires 8 minutes. So s rounds of strength training will require 8s minutes. One round of endurance training require 12 minutes, so e rounds of endurance training will require 12e minutes.
The total time of both these trainings can be written as:
8s + 12e
We know that the time can be 75 minutes or lesser. So we can write the inequality as:
8s + 12e ≤ 75
So, option H is the correct answer
Question 57
The given equation is:
2y = - 3(x - 2)
In order to identify the slope we need to write the equation if slope intercept form. When written in slope intercept form, the coefficient of x term is the slope of the line. In order to write in slope intercept form, isolate y on one side as shown below:
So, the slope of line is -3/2.
Hence option B is the correct answer