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2 years ago

In f(x) = a(x - p)(x - 9), what does "a" tell us?

Mathematics

1 answer:

ANTONII [103]2 years ago

4 0

Answer:

Step-by-step explanation:

f(x) = a(x-p)(x-9) is the equation of a vertical parabola.

If a>0, the parabola opens upwards.

If a<0, the parabola opens downwards.

Also, the focal length of the parabola is 1/|4a|.

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2 years ago

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Plz guys help i need asap<br> its part b im stuck

aleksklad [387]

Answer:

a.2nd quarter with 9 goals

b. 4.8 goals

c. 4 goals

Step-by-step explanation:

a. The mode is defined as the most appearing data point or the data point with the highest frequency..

From our data(for away goals):

1st quarter-2
2nd quarter-9
3rd quarter-7
4th quarter-4

Hence, the 2nd quarter has the mode for away goals with 9 goals.

b. Mean is defined as the average of a set of data points.

#We calculate the totals goals per quarter, sum over all quarters then divide by the number of games, 10:

$\bar x=\frac{1}{n}\sum{x_i}\\1^{st }_g=Away+Home=5+2=7\\\\2^{nd}_g=Away+Home=4+9=13\\\\3^{rd}_g=Away+Home=8+7=15\\\\4^{th}_g=Away+Home=9+4=13\\\\\bar x=\frac{1}{n}\sum{x_i}=\frac{1}{10}(7+13+15+13)=4.8$

Hence, the mean number of goals per quarter is 4.8 goals

c. To find the number of more home goals than away goals, we subtract from their summations as:

$g_m=\sum{g_h}-\sum{g_a}\\\\=(5+4+8+9)-(2+9+7+4)\\\\=26-22\\\\=4$

Hence, there are 4 more home goals than away goals.

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2 years ago

Kelvin claims that a pol yhedron can have 30 edges , 18 faces and 12 vertices . Do you agree with him ? Explain your answer .

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Number of faces + (Number of vertices - Number of edges) = 2
So plugging in the numbers it would then be
18+(12-30)=2
18-18=2
0=2
Kelvin would be wrong and I disagree with him. (Because ...*plugin work cited above*)

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3 years ago

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C. 1/5,2/5,3/5,4/5 and 1 since all will be on the same mark as 2/10,4/10,6/10,8/10 and 10/10.
d. there would be 10/10 for every 0 to 2.

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In f(x) = a(x - p)(x - 9), what does "a" tell us?​

In f(x) = a(x - p)(x - 9), what does "a" tell us?