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g100num [7]
3 years ago
5

A parabola with vertex (h, k) and a vertical axis of symmetry is modeled by the equation y - k = a(x - h)2. Determine the vertex

for a parabola modeled by y - 4 =
1
2
(x + 1)2.
Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0
Hello :
<span>y - 4 = (x+1)²
h = -1    and  k=4
the vertex is : A(-1 ; 4)</span>
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Which of the following are polynomial functions? Check all that apply.​
steposvetlana [31]

Answer:

C and E

Step-by-step explanation:

A polynomial is a function where the only operation is an exponent on the variable. It can have just one term or many terms. For example, x^2 is a polynomial but x^2 / x+3 is not since it also contains division. This is a rational. Using this definition then only C and E are polynomials.

Choice A has a rational term. This is not polynomial.

Choice B has an exponent of -2 which is actually division. This is rational and not polynomial.

Choice D has a radical term with the variable. This is not polynomial.

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If a car has traveled 171 miles in 3 hours at a steady pace, how far has it traveled each hour?
san4es73 [151]

Answer:

B: 57 mph=57 mph

Step-by-step explanation:

A steady pace means constant speed  that it does not change over a period of time and direction of motion. A simple formula, for this case (constant speed)

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3 years ago
Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, Cam, and Georgia are invited to a dinner party. They arrive in a r
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Step-by-step explanation:

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The case where Xerxes arrives first and Regina arrives last is:

We have 10 slots, each slot corresponds to who arrived in which time.

For the first slot we have only one option, this is Xeres.

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For the next slot we have 7 options.

for the next one we have 6 options, and so on.

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Now, the total number of combinations is:

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c = 10*9*8*7*6*5*4*3*2*1 = 725760

The probability is the combinations where Xerxes arrives first and Regina rrives last divided the total number of probabilities.

P = C/c = 0.056

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3 years ago
Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combined value of $8.85. How many of each do
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