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dangina [55]
1 year ago
14

the table below represents the displacement of a turtle from its nest as a function of time.Part A. What is the y intercept of t

he function and what does it tell you about the turtle?part b. calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours and tell what the average rate represents.part c. what would be the domain of the function if the turtle continued to walk at this rate until it traveled 225 miles from the nest?

Mathematics
1 answer:
hoa [83]1 year ago
3 0

Part A.

Y intercept is the coordinate (0,y), when the function has an x value of 0, it is the y intercept.

In this case:

(0,5) =

y intercept = 5

IT tells about the turtle that it starts at a nest displacement of 5 miles.

Part B

The average rate of change represents the speed .

x1=1 ,y1=27

x2=4 ,y2=93

We have to calculate the slope if the function:

\text{slope}=\text{ }\frac{y2-y1}{x2-x1}

Replace:

\text{slope}=\frac{93-27}{4-1}\text{ = }\frac{66}{3}=22

Part C.

speed = distance /time

time= distance / speed

time= 225 / 22 = 10.22 hours

The domain will be

0< x ≤ 10.22

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Nitella [24]

Answer:

175 ft

Step-by-step explanation:

From the question,

(a) ΔABC and ΔEDC are similar because all the angles in ΔABC is equal to the corresponding angles in ΔEDC.

I.e, ΔABC is equiangular to ΔEDC. (AAA).

(b) From the diagram.

for similar angle, ratio of corresponding sides are equal

100/d = 4x/7x

100/d = 4/7

where d = distance across the river

solve for d

d = (100×7)/4

d = 175 ft

8 0
3 years ago
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6 0
2 years ago
Why is the vertex of vertex form y=a(x-h)^2+k (h,k) rather than (-h,k)? If that was y=2(x-5)^2+6, the vertex would be at (5,6) w
Sindrei [870]

9514 1404 393

Answer:

  (5, 6) is (h, k)

Step-by-step explanation:

Vertex form is an instance of the transformation of parent function f(x) = x². It is vertically scaled by a factor of 'a', and translated so the vertex is point (h, k). That is, the transformed vertex is h units right and k units up from that of the parent function (0, 0).

Parent:

  f(x) = x^2

Transformed:

  f(x) = a(x -h)^2 +k

__

When you compare the form to your specific instance, you need to pay attention to what it is that you're comparing. As the attachment shows, ...

  • a = 2
  • -h = -5   ⇒   h = 5
  • k = 6

Hence the vertex is (h, k) = (5, 6). The second attachment shows this on a graph.

7 0
3 years ago
Help m.e please please
Veseljchak [2.6K]

Answer:

(0, 2)

Step-by-step explanation:

Both the lines are intersecting each other at point (0, 2)

So, the solution to the system of equations would be (0, 2)

Hope it helps you in your learning process

4 0
3 years ago
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