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slega [8]
3 years ago
11

Which line best represents the line of best fit for this scatter plot? (5 points)

Mathematics
1 answer:
Bogdan [553]3 years ago
7 0
Line Q, you always want the line that has as many dots on it as possible!! :)
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Please help and thank you
Scorpion4ik [409]

Answer:

a

Step-by-step explanation:

6 0
3 years ago
T what point does the curve have maximum curvature? Y = 7ex (x, y) = what happens to the curvature as x → ∞? Κ(x) approaches as
Nookie1986 [14]

Formula for curvature for a well behaved curve y=f(x) is


K(x)= \frac{|{y}''|}{[1+{y}'^2]^\frac{3}{2}}


The given curve is y=7e^{x}


{y}''=7e^{x}\\ {y}'=7e^{x}


k(x)=\frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}


{k(x)}'=\frac{7(e^x)(1+49e^{2x})(49e^{2x}-\frac{1}{2})}{[1+49e^{2x}]^{3}}

For Maxima or Minima

{k(x)}'=0

7(e^x)(1+49e^{2x})(98e^{2x}-1)=0

→e^{x}=0∨ 1+49e^{2x}=0∨98e^{2x}-1=0

e^{x}=0  ,  ∧ 1+49e^{2x}=0   [not possible ∵there exists no value of x satisfying these equation]

→98e^{2x}-1=0

Solving this we get

x= -\frac{1}{2}\ln{98}

As you will evaluate {k(x})}''<0 at x=-\frac{1}{2}\ln98

So this is the point of Maxima. we get y=7×1/√98=1/√2

(x,y)=[-\frac{1}{2}\ln98,1/√2]

k(x)=\lim_{x\to\infty } \frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}

k(x)=\frac{7}{\infty}

k(x)=0







5 0
3 years ago
If P = (5,4), find the image of P under the following rotation. 90° counterclockwise about the origin ([?], [ ])​
ANTONII [103]

Answer: (-4,5)

Step-by-step explanation:

Rotating 90 deg. counterclockwise maps (x,y) onto (-y,x), so (5,4) maps onto (-4,5).

8 0
2 years ago
Is this a polygon? If it is not a polygon please say why.​
Eva8 [605]

Answer:

if you where trying to draw it straight then yes it is a polygon but if it is supposed to be rounded then no it is not.

Step-by-step explanation:

a plane figure with at least three straight sides and angles, and typically five or more.

8 0
3 years ago
Read 2 more answers
Chapter 12 F
marshall27 [118]

Answer:

(m+n) -a = r

Step-by-step explanation:

first, you have to find what m+n is because that is their total budget, then you have to remove how much their apartment costs from their budget, because r is the amount of free cash they have. once A is subtracted from m+n, you have r

8 0
3 years ago
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