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2 years ago

Which of the following graphs is a polynomial function with x-intercepts of (-2, 0), (0, 0), and (3, 0)?

Mathematics

1 answer:

Sergio [31]2 years ago

8 0

Answer:

The intercepts of the third degree polynomial corresponds to the zeros of the equation

y = d*(x-a)*(x-b)(x-c)

Where a, b and c are the roots of the polynomial and d an adjustment coefficient.

y = d*(x+2)*(x)*(x-3)

Lets assume d = 1, and we get

y = (x+2)*(x)*(x-3) = x^3 - x^2 - 6x

We graph the equation in the attached file.

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For each of the finite geometric series given below, indicate the number of terms in the sum and find the sum. For the value of

kotykmax [81]

Answer:

Number of term N = 9

Value of Sum = 0.186

Step-by-step explanation:

From the given information:

Number of term N = $3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} + \cdots + 3 (0.5)^{13}$

Number of term N = $3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} +3 (0.5)^{8}+3 (0.5)^{9} +3 (0.5)^{10} +3 (0.5)^{11}+3 (0.5)^{12}+ 3 (0.5)^{13}$

Number of term N = 9

The Value of the sum can be determined by using the expression for geometric series:

$\sum \limits ^n_{k=m}ar^k =\dfrac{a(r^m-r^{n+1})}{1-r}$

here;

m = 5

n = 9

r = 0.5

Then:

$\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.5^5-0.5^{9+1})}{1-0.5}$

$\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.03125-0.5^{10})}{0.5}$

$\sum \limits ^n_{k=m}ar^k =\dfrac{(0.09375-9.765625*10^{-4})}{0.5}$

$\sum \limits ^n_{k=m}ar^k =0.186$

6 0

2 years ago

What is the base unit of measurement for capcity?

Dominik [7]

Answer:

Units of Capacity (Volume)

The basic unit of volume or capacity is the litre. The most commonly used units in cooking are the litre and the millilitre.

6 0

2 years ago

Read 2 more answers

This graph represents the positions of two turtles in a race.On the same axes, draw a line for a third turtle that is going half

brilliants [131]

Answer:

step g

Step-by-step explanation:

it axis is giong up more than other turtle which makes more sense.

3 0

2 years ago

If 115 steps = 1 mln and 2 steps = 5 feet what is the ratio of feet to minutes?

Tanya [424]

Answer:

Step-by-step explanation:

7 0

3 years ago

Please need help asap!!

vagabundo [1.1K]

$a+b+c=180, \text{ }c+e=180 \implies \\ a+b+c=c+e \implies \\ a+b=e\\$

This result is actually true for any exterior angle. The exterior angle of a triangle is equal to the sum of the two remote angles, and above is a short proof of it.

6 0

3 years ago