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Bunuel
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If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m? 27 Jul 2018, 01:10
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B
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92% (00:52) correct 8% (01:01) wrong based on 154 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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B
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If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m? 27 Jul 2018, 01:16
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Bunuel
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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If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m? 27 Jul 2018, 02:25
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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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If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m? 27 Jul 2018, 03:10
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Bunuel
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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If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m? 27 Jul 2018, 04:50
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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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If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m? 28 Jul 2018, 10:29
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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

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

IMO B
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If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m? 24 Aug 2022, 10:44
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Given that \(h(x) = 2x^3 - 3\) and \(h(m) = -19\) and we need to find the value of m

To find h(m) we need to compare what is inside the bracket () in h(m) and h(x)

=> We need to substitute x with m in \(h(x) = 2x^3 - 3\) to get the value of h(m)

=> \(h(m) = 2m^3 - 3\) = -19 (given)
=> \(2m^3\) = -19 + 3 = -16
=> \(m^3\) = \(\frac{-16}{2}\) = -8 = \((-2)^3\)
=> m = -2

So, Answer will be B
Hope it helps!

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