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Setler79 [48]
3 years ago
12

In basketball there are three ways to score. 1 point for a free Throw, 2 points for a short field goal, and 3 points for a long

field goal. During the first quarter of a regular season basketball game, the Dallas Mavericks scored 36 points but did not make any free throws. What is the other extreme case in table 1.1 the entry where SFG=0 and how can you systemically record the other entries in table 1.1
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
4 0
It says Dallas didn't make any free throws. It means there are short field goals (SFG) and long field goals (LFG) only.
Let's assume number of SFG = x
and number of LFG = y

Given that 2 points for a short field goal, and 3 points for a long field goal.
Total Score = 2x+3y
Also, Total score = 36 (given in the question)
So we have the equation
2x + 3y = 36
where x and y are integers.

when SFG=0, then x=0 and so 3y=36.
y=12 i.e. LFG = 12
So the extreme case is (0,12) i.e. SFG=0 and LFG=12.

Other cases would be integral vales of (x,y) which satisfy the equation 2x+3y=36.
So (3,10) , (6,8) , (9,6) , (12,4) , (15,2) , and (18,0) are other cases.

Hence final answers are (x,y) = (0,12) , (3,10) , (6,8) , (9,6) , (12,4) , (15,2) , and (18,0)
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A company dyes two sizes of rugs. A small rug requires 8 hours for dyeing and a medium-size rug requires 12 hours for dyeing. Th
Nikolay [14]

Answer:

8x + 12y < 240

Step-by-step explanation:

If x equals the number of small rugs and y equals the number of medium rugs dyed, we would need to multiply both variables by the number of hours taken to dye each sized rug. It takes 8 hours to dye a small rug (8x), and 12 hours to dye a medium rug (12y).

Then, to find the total number of hours they dye them in, add the terms together.

8x + 12y

The company must dye the rugs in less than 240 hours, so we will use a 'less than' (inequality) sign (it cannot be 240, or any more than 240).

8x + 12y < 240

8 0
3 years ago
Solve the problem and then click on the correct graph.<br><br> y = |x|
Zielflug [23.3K]

Answer:

Attachment is correct graph.

Step-by-step explanation:

We are given a equation of line y=|x|

It is absolute function which gives always positive value.

It's vertex at (0,0). This function will break at (0,0)

It is linear equality.

f(x)=\left \{ {-x{\ \ \ \ \ \ x

So, function is break at point x=0

Now we make tale of x and y

    x       y  

   -3       3

   -2       2

   -1        1

    0       0

    1        1

    2       2

    3       3

Now we plot the point on graph and join the points to get graph.

Please see the attachment for correct graph.


8 0
3 years ago
Please solve for x .?
Makovka662 [10]
The answer is 180 m-72 and then yeah
4 0
3 years ago
The local bike shop sells a bike and accessories package for $320 if the bike is worth 7 times more than the accessories,how muc
sdas [7]
So, bike=b and accessories=a.

b+a=320

Since the bike is worth 7 times more than the accessories, the b would turn into 7a (because 7 times the cost of accessories is the cost of the bike).

The equation would now turn into 7a+a=320.

Solve for a.

7a+a=320
8a=320
a=40

Now that you know the cost of the accessories, you multiply that 40
by 7 to get the cost of the bike.

40(7)
280

The cost of the bike is $280.
The cost of the accessories are/is $40.
6 0
3 years ago
The first two terms of the perfect square trinomial are given, find "c".
Naddik [55]

Answer:

A.) 36

Step-by-step explanation:

For a perfect square trinomial, a = 1  b = 2x  c = x².  For an example, (x+3)² = x² + 6x + 9.

For this trinomial, divide "b" by 2 to get 6.  Square this number and you will have 36.

x² + 12x + 36

7 0
3 years ago
Read 2 more answers
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