Answer: 32
Step-by-step explanation:
Hi there!
We can begin by setting the two expressions equal to solve for t:
2t - 1 = 5t
Subtract 2t from both sides:
-1 = 3t
Divide both sides by 3:
t = -1/3
Plug in this value of t into x(t) and y(t):
x(-1/3) = 2(-1/3) - 1 = -2/3 - 1 = -5/3
y(-1/3) = 5(-1/3) = -5/3
Thus:
(-5/3, -5/3) are the corresponding coordinates.
<span> The first term in the binomial is "<span>x2</span>", the second term in "3<span>", and the power </span>n<span> is </span>6, so, counting from0<span> to </span>6, the Binomial Theorem gives me:(<span>x2 + 3)6 = 6C0 (x2)6(3)0 + 6C1(x2)5(3)1 + 6C2 (x2)4(3)2 + 6C3 (x2)3(3)3</span><span>+ 6C4 (x2)2(3)4 + 6C5 (x2)1(3)5 + 6C6 (x2)0(3)6</span></span><span>Then simplifying gives me<span><span>(1)(x12)(1) + (6)(x10)(3) + (15)(x8)(9) + (20)(x6)(27)</span><span><span>+ (15)(x4)(81) + (6)(x2)(243) + (1)(1)(729)</span><span>= </span><span>x12<span> + 18</span>x10<span> + 135</span>x8<span> + 540</span>x6<span> + 1215</span>x4<span> + 1458</span>x2<span> + 729</span></span><span><span>
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Answer:$104.00
Step-by-step explanation:
