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krok68 [10]
3 years ago
14

Graph y=x^3 + 6x^2 + 8x and describe the end behavior

Mathematics
2 answers:
Nikitich [7]3 years ago
8 0
I can't really graph this for you but here's some points.

(X, Y):  (-4, 0), (-3, 3), (-2, 0), (-1, -3), (0,0)

Here's the end behavior:

x⇒∞, y⇒∞
x⇒-∞, y⇒-∞
shepuryov [24]3 years ago
8 0

Given function: y=x^3 + 6x^2 + 8x

In order to graph it, let us find some coordinates for the given function to plot on graph.

Let us find the x-intercepts first by setting given function equal to 0.

x^3 + 6x^2 + 8x =0.

Factoring out x.

x(x^2+6x+8) = 0

Factoring quadratic x^2 +6x +8, we get

x(x+2)(x+4) =0

Applying zeros product rule, we get

x =0

x+2 = 0  => x = -2

x+4 =0  => x = -4.

Therefore, we got x-intercepts (0,0), (-2,0) and (-4,0).

Because degree is 3 and leading coefficient a positive number, the graph would go down on the left and go up on the right.

From the graph we can see end behaviour:

<h2>x⇒∞, y⇒∞</h2><h2>x⇒-∞, y⇒-∞ </h2>

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Find the value of C that completes the square
MatroZZZ [7]

Answer:

Step-by-step explanation:

y^2-22y+c

complete the square ax^2+bx+c is our old formula quadratic equation

we know that to find c we will divide b/2 and square it

22/2=11

c^2=121

we have y^2-22y+121

6 0
3 years ago
Ques
natulia [17]

Answer:

C

Step-by-step explanation:

In a Pythagorean triple the square on the longest side is equal to the sum of the squares on the other 2 sides.

A

longest side = 10 ⇒ 10² = 100

6² + 8² = 36 + 64 = 100

A is a Pythagorean triple

B

longest side = 17 ⇒ 17² = 289

8² + 15² = 64 + 225 = 289

B is a Pythagorean triple

C

longest side = 9 ⇒ 9² = 81

5² + 8² = 25 + 64 = 89

89 ≠ 81

C is not a Pythagorean triple

D

longest side = 13 ⇒ 13² = 169

5² + 12² = 25 + 144 = 169

D is a Pythagorean triple

6 0
2 years ago
the case of napkins contained 45 packs with a total of 10,125 napkins. each napkin contained the same number of napkins. write a
Pavlova-9 [17]
You would need to do 10,125/45 = n, and in which case we just solve. 
10,215/45=227, so there are 227 napkins in each box.


Hope this helps and have a nice day:)
7 0
2 years ago
Determine if the events A and B are independent. Show all steps.
zmey [24]

<u><em></em></u>

Answer:

P(A U B )  = \frac{13}{25}

Step-by-step explanation:

<u><em>STEP:-1</em></u>

Given that events A and B are independent then

P(A ∩B ) = P(A) P(B)

Given that P(A) = 2/5 and P(B) = 1/5

<u><em>STEP:- 2</em></u>

P(A ∩B ) = P(A) P(B)

P(A U B) = P(A) +P(B) - P(A n B )

P(A U B ) = P(A) +P(B) - P(A) P(B)

<u><em>Step(iii):-</em></u>

<u><em></em></u>P(A U B ) = \frac{2}{5}  +\frac{1}{5} - \frac{2}{5} X \frac{1}{5}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{3}{5}  - \frac{2}{5} X \frac{1}{5}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{3}{5}  - \frac{2}{25}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{15-2}{25} = \frac{13}{25}<u><em></em></u>

<u><em /></u>

<u><em /></u>

4 0
2 years ago
Ethan's taxable income is $87,525. Use this tax schedule to calculate the total amount he owes in taxes.
V125BC [204]

Answer: $18,617.75 is the answer

$87,525-$77,100=$10,425 (the amount over $77,100)

$10,425 x .28=$2,919 (the 28% taxed amount over $77,100)

$2,919+$15,698.75 (the already taxed amount in the chart)=$18,617.75

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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