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geniusboy [140]
3 years ago
9

BASKETBALL After Game 1, Felicia had scored 14 points. After Game 5, she had scored a total of 82 points for the season. After G

ame 10, she had scored 129 points. Graph the data with the game number on the horizontal axis and the number of points on the vertical axis. Connect the points using two different line segments.
Mathematics
1 answer:
Stella [2.4K]3 years ago
4 0

Let  p represents the number of points scored in n number of games.

So, the graph, the number of games, n is on the horizontal axis and the points scored, p, is on the vertical axis.

After Game 1, the point scored is 14,

so, the first point, P_1, on the graph is

P_1=(1,14)

After Game 5, the point scored is 82,

so, the second point, P_2, on the graph is

P_2=(5,82).

After Game 10, the point scored is 129,

so, the second point, P_2, on the graph is

P_2=(10,129)

First, represent all the three points, P_1, P_2 and P_3, on the graph, then connect P_1- P_2 and P_2 - P_3 as shown in the figure.

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Consider functions f and g.1 + 12f(1) = 12 + 4. – 12for * # 2 and 7 -64.2 – 16. + 1641 +48for a # -12 Which expression is equal
lisabon 2012 [21]

Given the following functions below,

\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}\text{ and} \\ g(x)=\frac{4x^2-16x+16}{4x+48} \end{gathered}

Factorising the denominators of both functions,

Factorising the denominator of f(x),

\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}=\frac{x+12}{x^2+6x-2x-12}=\frac{x+12}{x(x+6)-2(x+6)}=\frac{x+12}{(x-2)(x+6)} \\ f(x)=\frac{x+12}{(x-2)(x+6)} \end{gathered}

Factorising the denominator of g(x),

\begin{gathered} g(x)=\frac{4x^2-16x+16}{4x+48}=\frac{4(x^2-4x+4)}{4(x+12)} \\ \text{Cancel out 4 from both numerator and denominator} \\ g(x)=\frac{x^2-4x+4}{x+12}=\frac{x^2-2x-2x+4}{x+12}=\frac{x(x-2)-2(x-2)}{x+12}=\frac{(x-2)^2}{x+12} \\ g(x)=\frac{(x-2)^2}{x+12} \end{gathered}

Multiplying both functions,

undefined

4 0
1 year ago
Ayana has 220 coins in her piggy bank Of those 40percent are pennies. Out of the coins that are not pennies 25 percent are partn
Rzqust [24]
To find a percent of a number, multiply the percent by the number.

First we find the number of pennies.

40% of 220 =

= 40% * 220

= 0.4 * 220

= 88

88 coins are pennies.

220 - 88 = 132

132 coins are not pennies.

Now we find 25% of 132.

25% of 132 =

= 25% * 132

= 0.25 * 132

= 33

33 coins are partners.

(Did you mean quarters instead of partners?)
3 0
4 years ago
Which geometric solid is the best model for the head of a human being?
Tasya [4]
Sphere, ur head is the closest shape to a sphere
5 0
3 years ago
Solve pls, ans should be 0, add working
Bond [772]

Step-by-step explanation:

<u>Given</u>: {x+(1/x)}³ = 3

<u>Asked</u>: x³ + (1/x³) = ?

<u>Solution:</u>

<u>Method</u><u> </u><u>1:</u>

We have, {x+(1/x)}³ = 3

Comparing the expression with (a+b)³, we get

a = x

b = (1/x)

Using identity (a+b)³ = a³+b³+3ab(a+b), we get

⇛{x+(1/x)}³ = 3

⇛(x)³ + (1/x)³ + 3(x)(1/x){x + (1/x)} = 3

⇛(x*x*x) + (1*1*1/3*3*3) + 3(x)(1/x){x + (1/x)} = 3

⇛x³ + (1/x³) + 3(x)(1/x){x + (1/x)} = 3

⇛x³ + (1/x³) + 3{x + (1/x)} = 3

⇛x³ + (1/x³) + 3(x) + 3(1/x) = 3

⇛x³ + (1/x³) + 3x + (3/x) = 3

Our answer came incorrect.

Let's try..

<u>Method</u><u> </u><u>2</u><u>:</u>

We have,

[x+(1/x)]³ = 3

On taking cube root both sides then

⇛³√[{ x+(1/x)}³ ] = ³√3

⇛x+(1/x) = ³√3 -----(1)

We know that

a³+b³ = (a+b)³-3ab(a+b)

⇛x³+(1/x)³ = [x+(1/x)]³ - 3(x)(1/x)[x+(1/x)]

⇛x³+(1/x³) = (3)-3(1)(³√3)

[since, {x + (1/x)} = ³√3 from equation (1)]

⇛x³+(1/x)³ = 3-3 ׳√3

⇛x³ + (1/x³) = 3- ³√81 (or )

⇛x³ + (1/x³) = 3(1-³√3)

Therefore, x³ + (1/x³) = 3(1 - cube root of 3)

It is impossible to get zero

6 0
3 years ago
1 point
masha68 [24]

Answer:

$4.25

Step-by-step explanation:

According to the question,she paid $0.25 for one day overdue,

So she kept the book for 17 days so we are to determine the amount he paid for the overdue

1 day=$0.25

17 days=x

Cross multiply

x=17×0.25

x=4.25

So she will have to pay $4.25 for 17 days overdue

6 0
3 years ago
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