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Mandarinka [93]
2 years ago
10

Scientists are monitoring a whale's weight by observing its weight change once a week, over a 4 week period. How much has the wh

ale's weight changed over the entire 4 weeks?

Mathematics
2 answers:
Kay [80]2 years ago
8 0

Answer:

Option D. -3.9 will be the answer.

Step-by-step explanation:

Change in weight of the whale in first week = (-2.1) pounds

Change in weight of the whale in second week = (+0.3) pounds

Change in weight of the whale in 3rd week = (-1.7) pounds

Change in weight of the whale in 4th week = -0.4 pounds

Total change in weight over the period of 4 weeks = - 2.1 + 0.3 - 1.7 - 0.4

= -3.9 pounds

Therefore, Option D. -3.9 will be the answer.

irina [24]2 years ago
4 0

Answer:


Step-by-step explanation:

-2.2 - (-1.7) - (-0.4) = -4.2 + 0.3 = -3.9

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What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
telo118 [61]

Answer:

f(x)=-\frac{1}{8}(x-3)^2+3

Step-by-step explanation:

We want to find the equation of the parabola with a focus of (3,1) and directrix y=5.

Considering the directrix, the quadratic graph must open downwards.


The equation of this parabola is given by the formula,

(x-h)^2=4p(y-k), where (h,k) is the vertex of the parabola.


The axis of this parabola meets the directrix at (3,5).

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,


h=\frac{3+3}{2}=3 and k=\frac{5+1}{2}=3.


The equation of the parabola now becomes,


(x-3)^2=4p(y-3).


Also |p| is the distance between the vertex and the directrix.


|p|=2


This implies that p=-2\:or\:2.


Since the parabola turns downwards,


p=-2.



Our equation now becomes,


(x-3)^2=4(-2)(y-3).


(x-3)^2=-8(y-3).


We make y the subject to get,

y=-\frac{1}{8}(x-3)^2+3).


This is the same as

f(x)=-\frac{1}{8}(x-3)^2+3).









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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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