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Orlov [11]
2 years ago
5

There are 16 competitors in the MATHCOUNTS Trainer competition, including 3 from Vienna. The gold medal goes to first place, sil

ver to second, and bronze to third. Suppose that the AoPS powers-that-be decide that exactly one student from Vienna must win a medal (no more and no less). Now how many ways are there to award the medals
Mathematics
1 answer:
Brums [2.3K]2 years ago
5 0

Answer:

1404

Step-by-step explanation:

13*12*9

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can someone help me with this and give an explanation on how to do it? So i can know with the others.
MaRussiya [10]

Answer:

Values of y in order: 0, 2, 4, 6

Step-by-step explanation:

Hi there!

In the table, the first value of x is -2. To find the value of y for this row of the table, we can use the given equation y=2x+4.

y=2x+4

Plug in -2 as the value of x

y=2(-2)+4\\y=-4+4\\y=0

Therefore, y is 0 when x is -2. (In the table, in the row where x is -2, y would be 0.)

We repeat this process for the rest of the values in the table.

When x=-1:

y=2(-1)+4\\y=-2+4\\y=2

When x=0:

y=2(0)+4\\y=0+4\\y=4

When x=1:

y=2(1)+4\\y=2+4\\y=6

I hope this helps!

6 0
3 years ago
X^2-14x-4=0, solve by completing the square
REY [17]
The answer is: x = 7 - √53      or      x = 7 + √53

The general quadratic equation is: ax² + bx + c  = 0.
But, by completing the square we turn it into: a(x + d)² + e = 0, where:<span>
d = b/2a
e = c - b²/4a
Our quadratic equation is x² - 14x -4 = 0, which is after rearrangement:
So, a = 1, b = -14, c = -4
Let's first calculate d and e:
d = b/2a = -14/2*1 = -14/2 = -7
e = c - b²/4a = -4 - (-14)</span>²/4*1 = -4 - 196/4 = -4 - 49 = -53<span>
By completing the square we have:
a(x + d)² + e = 0

1(x + (-7))</span>² + (-53) = 0
(x - 7)² - 53 = 0
(x - 7)² = 53
x - 7 = +/-√53
x = 7 +/- √53

Therefore, the solutions are:
x = 7 - √53
or
x = 7 + √53
4 0
3 years ago
Read 2 more answers
If f(x) = x2, then f(4) = 42 = 16. Find:<br> a. f(1)<br> b. f(-3)<br> c. f(t)
icang [17]

Answer:

Step-by-step explanation:

f(x) = x²

f(4) = 4² = 16

f(1) = 1² = 1

f(-3) = -3² = 9

f(t) = t²

Always wise to us the ^ symbol to represent powers to avoid confusion

4^2 = 4² = 16

-3^2 = 9

t^2

if you are on a PC, the square symbol (²) can be typed by holding down the "alt" key while pressing and releasing "2","5","3" on the keypad, then release "alt". Unfortunately this does not work if you only have the row of numbers on the keyBoard to work with.

4 0
2 years ago
Find the number that belongs in the green box.<br><br>Round your answer to the nearest tenth. ​
makvit [3.9K]

Answer:

49.4 degrees

Step-by-step explanation:

SOHCAHTOA

tan x = opposite / adjacent

tan x = 7 / 6

using graphing calculator, you get x = 49.398 round to tenth = 49.4 degrees

please give thanks :)

3 0
3 years ago
What is 12/20 simplified as much as can be
k0ka [10]
3/5 is 12/20 simplified. :)

1. Find the greatest common factor of 12 and 20 which is 4.
2. Divide 12 by 4 and 20 by 4.
3. 12/4=3 and 20/4=5
4. 3/5!
7 0
3 years ago
Read 2 more answers
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