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erastovalidia [21]
2 years ago
9

Given the function defined in the table below, find the average rate of change, in

Mathematics
1 answer:
yaroslaw [1]2 years ago
5 0

Answer:

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 0 < x ..

Step-by-step explanation:

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PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
eduard

Answer:

2

Step-by-step explanation:

See explanation on other question

5 0
2 years ago
Select the correct answer from each drop-down menu. A parabola is given by the equation y = x2 − 2x − 3. The directrix of the pa
choli [55]

Answer:

Part 1) The directrix of the parabola is y=-4.25

Part 2) The focus of the parabola is F(1,-3.75)

Step-by-step explanation:

we have

y=x^{2}-2x-3

This is a vertical parabola open upward

we know that

If a parabola has a vertical axis, the standard form of the equation of the parabola is

(x - h)^{2}=4p(y - k)

where

p≠ 0

The vertex of this parabola is at (h, k).

The focus is at (h, k + p).

The directrix is the line y = k - p.

The axis is the line x = h.

step 1

Convert the equation of the parabola in standard form

y=x^{2}-2x-3

y+3=x^{2}-2x

y+3+1=x^{2}-2x+1

y+4=x^{2}-2x+1

y+4=(x-1)^{2}

so

(x-1)^{2}=(y+4) ----> equation in standard form

The vertex is the point (1,-4)

4p=1 ------> p=1/4

step 2

Find the directrix of the parabola

The directrix is the line y = k - p

we have

k=-4

p=1/4

substitute the values

y = k - p

y=-4-(1/4)=-17/4

y=-4.25

step 3

Find the focus of the parabola

we know that

The focus is at (h, k + p).

we have

h=1

k=-4

p=1/4

substitute

F(1,-4+1/4)

F(1,-3.75)

4 0
3 years ago
When Melissa was 8 years old, her mother was 32 Now, Melissa's mother is three times as old as Melissa. How old is Melissa now?​
hoa [83]

Answer:

24

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
((Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!
defon

Answer:

C

Step-by-step explanation:

The first term = 1500

2nd term = 900

3rd term = 540

The series is a GP.

r = 900/1500 = 0.6

The sum of the first 10 term, S₁₀, is as calculated below.

Sn = a(1-rⁿ)/(1-r)

S₁₀ = 1500(1 - 0.6¹⁰)/(1 - 0.6)

      = 1500 × 0.9939/0.4

       = 3,727.125 m

8 0
2 years ago
1. The length of side b equals the length of side c.
labwork [276]
1 because b and a are sides of the same shape!! i hope this helps!!
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