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Dominik [7]
3 years ago
6

Please help and show work i need 17 19 and 21

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer:

Step-by-step explanation:

<em>(17).</em> g(x) = x³ + 4x

f(x) = 4x + 1

( f × g )( x ) = ( x³ + 4x )( 4x + 1 ) = <em>4 </em>x^{4}<em> + x³ + 16x² + 4x</em>

<em>(19).</em> f(t) = 4t - 4

g(t) = t - 2

( 4f + 3g )( t ) = 4(4t - 4) + 3(t - 2) = 16t - 16 + 3t - 6 = <em>19t - 22</em>

<em>(21).</em> h(t) = t + 3

g(t) = 4t + 1

h(t - 2) + g(t - 2) = ( t - 2 ) + 3 + 4( t - 2 ) + 1 = t + 4t - 2 + 3 - 8 + 1 = <em>5t - 6</em>

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<u>Solution</u> is:  50\leq T\leq 64 and it means, the minimum temperature is 50° Fahrenheit and the maximum temperature is 64° Fahrenheit.

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Given inequality is:   |T-57|\leq 7

As this is absolute inequality, so we will get two different inequalities-- one for positive and another for negative. So.....

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<em>It means that the minimum temperature for San Francisco, California is 50° Fahrenheit and the maximum temperature is 64° Fahrenheit.</em>


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