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seraphim [82]
3 years ago
5

F(x) = x(x + 2)(x − 9) How many zeros does this equation have

Mathematics
1 answer:
weeeeeb [17]3 years ago
5 0
This is a cubic equation so it will have 3  zeroes.
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Match each quadratic equation with its solution set.
Marianna [84]

Answer:

( 8 , - 8)  => x² - 55 = 9

( 4 , - 4)  =>  2x² - 32 = 0

(5 , - 5) => 4x² - 100 = 0

(11 , - 11) => x² - 140 = -19

( 3, - 3) =>  2x² - 18 = 0

Step-by-step explanation:

1)

2x^2  - 32 = 0\\\\2(x^2 - 16 ) = 0 \\\\x^2 - 16 = 0 \\\\x^2 = 16 \\\\x = \sqrt {16 }  = \pm 4

x = ( 4 , - 4)

2)

4x^2 - 100 = 0 \\\\4(x^2 - 25 ) = 0\\\\x^2 - 25 = 0 \\\\x^2 = 25 \\\\x= \sqrt{25} = \pm 5

x = ( 5 , - 5 )

3)

x^2 - 55 = 9 \\\\x^2 = 9 +55\\\\x^2 = 64\\\\x = \sqrt{64} = \pm 8

x= ( 8 , - 8)

4)

x^2 - 140 = - 19\\\\x^2 = -19 + 140 \\\\x^2 = 121 \\\\x= \sqrt{121} = \pm 11

x = ( 11  , -11)

5)

2x^2 - 18 = 0\\\\2(x^2 - 9) = 0\\\\x^2- 9 = 0 \\\\x^2 = 9 \\\\x = \sqrt9 = \pm 3

x = ( 3 , - 3)

8 0
3 years ago
Read 2 more answers
Which phrase correctly describes the location of –19 on the number line?
bezimeni [28]

Answer:

Step-by-step explanation:

I can't give you a direct answer, but i know something that might help

6 0
3 years ago
(5α+α²-14) + (10α +α²+ 35)
eduard

Answer:

2α^2+15α+21

Step-by-step explanation:

(5α+α²-14) + (10α +α²+ 35)

Combine like terms

α^2+α^2+5α+10α-14+35

2α^2+15α+21

7 0
3 years ago
Read 2 more answers
This property allows you to change the order of the terms when adding or multiplying without changing the outcome.
denpristay [2]
Commutative property allows you to change the order of the terms when adding or multiplying without changing the outcome.
6 0
3 years ago
Need help!
siniylev [52]

<u>Correct </u><u>Inputs </u><u>:-</u>

In ΔABC right angled at A, D and E are points on BC, C such that BD = CD and AD ⊥ BC

\underline{\underline{\large\bf{Solution:-}}}\\

\longrightarrow Let us know about definition of altitude first. The altitude of a triangle is the perpendicular line segment drawn from the vertex to the opposite side of the triangle.

\leadstoMedian is the line segment from a vertex to the midpoint of the opposite side.

<u>Let us Check all options one by one </u>

  • CD is line segment which starts from vertex C but don't falls on opposite side AB thus it is not an altitude.❌

  • BA is line segment which starts from vertex B and falls perpendicularly on opposite sides AC and is thus an altitude.✔️

  • AD is line segment which starts from vertex A and falls perpendicularly on opposite side BC and is thus an altitude.✔️

  • AE is a line segment which starts from vertex A but doesn't falls perpendicularly on opposite side BC and is thus not an altitude.❌

  • AD falls on BC with D as mid point because BD = CD and is thus a median. ✔️
8 0
2 years ago
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