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# If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m?

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Joined: 02 Sep 2009
Posts: 50671
If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m?  [#permalink]

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27 Jul 2018, 00:10
00:00

Difficulty:

5% (low)

Question Stats:

94% (00:44) correct 6% (01:39) wrong based on 53 sessions

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If $$h(x) = 2x^3 - 3$$ and $$h(m) = -19$$, what is the value of m?

(A) –3
(B) –2
(C) 2
(D) 6,856
(E) 6,862

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Joined: 19 Nov 2017
Posts: 169
Location: India
Schools: ISB
GMAT 1: 670 Q49 V32
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Re: If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m?  [#permalink]

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27 Jul 2018, 00:16
Bunuel wrote:
If $$h(x) = 2x^3 - 3$$ and $$h(m) = -19$$, what is the value of m?

(A) –3
(B) –2
(C) 2
(D) 6,856
(E) 6,862

If
$$h(x) = 2x^3 - 3$$
then
$$h(m) = 2m^3 - 3$$
and
$$h(m) = -19$$

So
$$2m^3 - 3 = -19$$
$$m=-2$$ fits the equation

$$2*(-8) - 3 = -19$$
$$-16-3 = -19$$
$$-19 = -19$$

Thus, B
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Re: If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m?  [#permalink]

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27 Jul 2018, 01:25
h(x) = 2*x^3 − 3 and h(m) = −19
m = ?

Now,
-19 = 2*m^3 − 3
-16 = 2*m^3
-8 = m^3
m = -2

Hence, B.
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Re: If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m?  [#permalink]

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27 Jul 2018, 02:10
Bunuel wrote:
If $$h(x) = 2x^3 - 3$$ and $$h(m) = -19$$, what is the value of m?

(A) –3
(B) –2
(C) 2
(D) 6,856
(E) 6,862

$$h(x) = 2x^3 - 3$$ and $$h(m) = -19$$

=> $$2m^3 - 3 = -19$$

=> $$2m^3 = -19 + 3 = -16$$

=> $$m^3 = -8$$

=> m = -2

Hence option B
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Re: If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m?  [#permalink]

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27 Jul 2018, 03:50
h(x) = 2x^3-3
h(m) = -19

h(m) = 2m^3-3
2m^3-3 = -19
2m^3 = -19+3
2m^3 = -16
m^3 = -16/2
m^3 = -8
m = -2

Hence IMO B
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Joined: 23 Jun 2018
Posts: 25
Re: If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m?  [#permalink]

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28 Jul 2018, 09:29
Bunuel wrote:
If $$h(x) = 2x^3 - 3$$ and $$h(m) = -19$$, what is the value of m?

(A) –3
(B) –2
(C) 2
(D) 6,856
(E) 6,862

2m^3-3 = -19
2m^3 = -19+3 = -16
m^3 = -8
m=-2

IMO B
Re: If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m? &nbs [#permalink] 28 Jul 2018, 09:29
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