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amid [387]
2 years ago
5

Help help help help help help

Mathematics
1 answer:
sammy [17]2 years ago
5 0
Answer:

Explanation:

7. f(x) = x^4 + 3x^3 - 6x^2 - 10x + 8
f(2) = 2^4 + 2^3 - 6^2 - 10(2) + 8
f(2) = 16 + 8 - 12 - 20 + 8
f(2) = 0

8. x^2 - 9 = (x - 3)(x + 3)
x ^2 + x - 6 = (x + 3)(x -2)

Thus, the common factor is x + 3
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A swim meet has 13 contestants signed up for the 100-meter butterfly event. The first heat has 6 swimmers. How many different wa
tino4ka555 [31]

Answer:

6 swimmers in the first heat can be arranged in 1716 different ways.

Step-by-step explanation:

A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.

So to select 6 swimmers out of 13 contestants number of different ways

= ^{13}C_{6}

= \frac{13!}{(6!)(13-6)!}

= \frac{13\times 12\times 11\times 10\times 9\times 8\times 7!}{6!\times 7!}

= \frac{13\times 12\times 11\times 10\times 9\times 8}{6\times 5\times 4\times 3\times 2\times 1}

= \frac{1235520}{720}

= 1716

Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.

5 0
3 years ago
Hi! im alex, just answer these easy questions and recive your points <3
Delvig [45]

Answer

106 sio so you multiply first

1+1+2+3+4+5+6×15

1+1+2+3+4+5+90

then you add all of them then it will be 106

8 0
3 years ago
PLZ HELP ITS DUR RIGHT NOW AND PLZ ANSWER TRUTHFULLY
yuradex [85]

Answer:

x=141

Step-by-step explanation:

(n-2)•180 = Sum of all the interior angles

n = # of sides

(7-2)•180

5•180

900= Sum of all the interior angles

Add all the angles and equal them to 900

125+122+131+x+7+x+107+x-15=900

Add all the numbers up first on the left side

477+3x=900

3x=423

x=141

5 0
2 years ago
I need this problem to be simplified
svetoff [14.1K]
The correct answer would be 2y^5
4 0
3 years ago
Read 2 more answers
A water wheel has a radius measuring between 13 feet and 24 feet. The wheel is able to turn 7π9 radians from its starting positi
madam [21]

Answer:

31.76 ft and 58.64 ft

Step-by-step explanation:

The radius measures between 13 feet and 24 feet.

The wheel is able to turn 7π/9 radians before getting stuck.

We need to find the range of distances that the wheel could spin before getting stuck. That is, the length of arc.

Length of an arc is given as:

L = \frac{\theta}{2\pi} * 2\pi r

where θ = central angle = 7π/9 radians

r = radius of the circle

Therefore, for 13 feet:

L = \frac{7\pi}{18 \pi} * 2 * \pi * 13\\\\L = 31.76 ft

For 24 feet:

L = \frac{7\pi}{18 \pi} * 2 * \pi * 24\\\\L = 58.64 ft

The wheel could spin between 31.76 ft and 58.64 ft before getting stuck.

4 0
3 years ago
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