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>
<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>
Answer:
135
Step-by-step explanation:
An arithmetic sequence is a list of numbers with a definite pattern.
In this case, the numbers increase at a constant rate of 6.
The first term of the sequence is 81, the second term is 87, and the third term is 93.
To get the tenth term, you can simply count them each,
81, 87, 93, 99, 105, 111, 117, 123, 129, 135
The tenth term of the arithmetic sequence is 135.
