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Elanso [62]
3 years ago
15

Kari, juan, tami and brad are the first 4 people in line. Kari is not first in line. Tami had at least two people ahead of her i

n line. Juan is third. Give the order of the first four people
Mathematics
1 answer:
Liula [17]3 years ago
6 0
So, Juan is 3rd, and Tami has at least 2 ppl in front of her, she can't be third because Juan is, so she's fourth. Kari is not 1st, leaving the only space to be 2nd from Kari.
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Supplementary angles are those whose measurements add up to 90 degrees <br> True or False
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Complementary means angles add up to 90 degrees.

Supplementary means angles add up to 180 degrees.

Since Supplementary doesn't add up to 180 degrees, the answer is false.

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The function f(t) = t2 + 6t − 20 represents a parabola.
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Answer:

Step-by-step explanation:

Part A:

To complete the square, we will do the first few steps all at once, since they are necessary but not complicated to follow all at once.  Set the function equal to 0 first, then move the constant over to the other side:

t^2+6t=20

The most important rule for completing the square is that the leading coefficient (the number on the t-squared term) is a positive 1.  Ours is, but if it wasn't it would need to be factored out.

Next, take half the linear term, square it, and add it to both sides.  Our linear term is 6.  Half of 6 is 3, and 3 squared is 9, so we add 9 to both sides:

t^2+6t+9=20+9

On the right is simple addition, but on the left side, during this process we created a perfect square binomial that will reflect the h coordinate of the vertex.  We will state that binomial and do the addition on the right both at the same time:

(t+3)^2=38

If you FOIL out the (t + 3)(t + 3) you will get back the polynomial t^2+6t+9

Now we can move the constant back over and set the polynomial back to equal f(t):

(t+3)^2-38=f(t)

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Because this is a positive parabola that opens upwards, the function will have a minimum value (if it was negative and opened upside down, it would have a minimum value).  In other words, you know the vertex is a minimum because this is a positive parabola that opens upwards.

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