Answer:
k=24
Step-by-step explanation:
The tangent of the function f at x=a, can be found by differentiating f w.r.t. x and then replacing x with a.
f=-x^2+8x+20
Differentiating both sides:
f'=(-x^2+8x+20)'
By sum rule:
f'=(-x^2)'+(8x)'+(20)'
By constant multiple rule:
f'=-(x^2)'+8(x)'+(20)'
By constant rule:
f'=-(x^2)+8(x)'+0
By power rule:
f'=-2x+8
f' at x=a is -2a+8
This is the slope of any tangent line to the curve f.
The slope of g is 4 if you compare it to slope intercept form y=mx+b.
So we gave -2a+8=4.
Subtracr 8 on both sides: -2a=-4
Divide both sides by -2: a=2
The tangent line to the curve at x=2 is y=4x+k.
To tind y we must first know the y-coordinate of the point of tangency.
If x=2, then
f(2)=-(2)^2+8(2)+20=-4+16+20=12+20=32
So the point is (2,32).
g(x)=4x+k and we know g(2)=32.
This gives us:
32=4(2)+k
32=8+k
k=32-8
k=24
The par value of each share is
100,000,000÷2,500
=40,000 per share
The expression that is equal to -4 is D 16/-4 which means option D is correct. ( it should be noted that option D is not written properly)
<h3>Why is that 4 is equals to 16
/-4?</h3>
In a mathematical expression when as negative vale is been used to multiply a negative value, then we will have a positive values , same thing with when a negative value is used to multiply a positive value, a negative value will be gotten.
In the case of the question, if positive value is used to divide a negative value, a negative value will be gotten, hence expression that is equal to -4 is 16/-4 which is means optionD is correct.
Therefore, option C is correct.
Learn more about mathematical expression at:
brainly.com/question/723406
#SPJ1
Answer:
10
Step-by-step explanation:
To figure the mean, add up the numbers, 3+3+6+7+9+12+12+19=71 then divide it by the number of data points 71/7=10.1428571, I rounded it to 10.
Answer:
We conclude that the equation of this line in the slope-intercept form will be:
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept.
Given the equation
Writing the equation in the slope-intercept form of the line equation by simplifying it
subtracting 3z from both sides
Therefore, we conclude that the equation of this line in the slope-intercept form will be:
