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3 years ago

Which of the following describes the zeroes of the graph of f(x) = –x^5 + 9x^4 – 18x^3?

Mathematics

1 answer:

Allushta [10]3 years ago

6 0

Answer:

second option

Step-by-step explanation:

Given

f(x) = - $x^{5}$ + 9 $x^{4}$ - 18x³

To find the zeros let f(x) = 0, that is

- $x^{5}$ + 9 $x^{4}$ - 18x³ = 0 ( multiply through by - 1 )

$x^{5}$ - 9 $x^{4}$ + 18x³ = 0 ← factor out x³ from each term

x³ (x² - 9x + 18) = 0 ← in standard form

x³(x - 3)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x³ = 0 ⇒ x = 0 with multiplicity 3

x - 3 = 0 ⇒ x = 3 with multiplicity 1

x - 6 = 0 ⇒ x = 6 with multiplicity 1

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WARRIOR [948]

Since the p-value of the test is of 0.00001 < 0.01, these results have statistical significance.

<h3>What is the relation between the p-value and the conclusion of the test hypothesis?</h3>

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2 years ago

Please help me ASAP!!! could someone help me do my geometry?

elena-14-01-66 [18.8K]

Answer:

9. m(YZ) = 102°

10. m(JKL) = 192°

11. m<GHF = 75°

Step-by-step explanation:

9. First, find the value of x

4x + 3 = 3x + 15 (inscribed angle that are subtended by the same arc are equal based on the inscribed angle theorem)

Collect like terms

4x - 3x = -3 + 15

x = 12

4x + 3 = ½(m(YZ)) (inscribed angle of a circle = ½ the measure of the intercepted arc)

Plug in the value of x

4(12) + 3 = ½(m(YZ))

48 + 3 = ½(m(YZ))

51 = ½(m(YZ))

Multiply both sides by 2

51*2 = m(YZ)

102 = m(YZ)

m(YZ) = 102°

10. First, find the value of x.

7x + 5 + 6x + 6 = 180° (opposite angles in an inscribed quadrilateral are supplementary)

Add like terms

13x + 11 = 180

13x = 180 - 11

13x = 169

x = 169/13

x = 13

7x + 5 = ½(m(JKL)) (inscribed angle of a circle = ½ the measure of the intercepted arc)

Plug in the value of x

7(13) + 5 = ½(m(JKL))

96 = ½(m(JKL))

Multiply both sides by 2

2*96 = m(JKL)

m(JKL) = 192°

11. First, find x.

5x + 15 = ½(11x + 18) (inscribed angle of a circle = ½ the measure of the intercepted arc)

Multiply both sides by 2

2(5x + 15) = 11x + 18

10x + 30 = 11x + 18

Collect like terms

10x - 11x = -30 + 18

-x = -12

Divide both sides by -1

x = 12

m<GHF = 5x + 15

Plug in the value of x

m<GHF = 5(12) + 15

m<GHF = 60 + 15

m<GHF = 75°

4 0

3 years ago

Expression <br> (27)x/3 equivalent

Ludmilka [50]

Answer:9x hope it helps

Step-by-step explanation:

8 0

3 years ago

PLEEZZ

jonny [76]

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4 < (4)(6y) + (4)(-12) - 2y

4 < 24y - 48 - 2y |add 48 to both sides

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2 < y → y > 2

---------------------------------------------------------

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4x < 3x + 3 |subtract 3x from both sides

x < 3

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-5r + 6 ≤ (-5)(r) + (-5)(2)

-5r + 6 ≤ -5r - 10 |add 5r to both sides

6 ≤ -10 FALSE

No solution

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-2(6 + s) ≥ -15 - 2s |use distributive property

(-2)(6) + (-2)(s) ≥ -15 - 2s

-12 - 2s ≥ -15 - 2s |add 2s to both sides

-12 ≥ -15 TRUE

All real numbers

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3s + 6 ≤ -5(s + 2) |use distributive property

3s + 6 ≤ (-5)(s) + (-5)(2)

3s + 6 ≤ -5s - 10 |subtract 6 from both sides

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8s ≤ -16 |divide both sides by 8

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3 years ago

How many solutions does this linear system have y=2x-5. -8-4y=20

ollegr [7]

Answer:

One solution

Step-by-step explanation:

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3 years ago