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ikadub [295]
3 years ago
12

In a game, a player earns 100 points for each question answered correctly and earns -30 points for each question answered incorr

ectly. A player answers 14 questions correctly and 6 questions incorrectly. Write a numeric expression to represent the total number of points the player earmed.
Mathematics
1 answer:
Zanzabum3 years ago
7 0

Answer:

14(100) - 6(30)

Step-by-step explanation:

If the person earns 100 points for each question answered correctly and they got 14 correct, then you would simply multiply 100 by 14, getting 1400. Then, if they lose 30 points for each question answered incorrectly and they got 6 incorrect, you would do the same thing, getting 180.

If you need to solve this expression, the answer would be 1220. An amazing SAT score! xD (this is only a game, but still a good score)

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Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

\sqrt{(x+3)^2+(y-3)^2}

and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
The top option, "meat lovers", received 12 votes. Was this majority of the votes? ​
ICE Princess25 [194]

Answer:

Step-by-step explanation:

if the number of votes is 25, 12 is not majority

but if the number is 23 then 12 is majority

6 0
3 years ago
Pls help look at the picture
dangina [55]
First answer is 20 .
8 0
3 years ago
Read 2 more answers
the ages of three siblings are all consecutive integers the sum of their ages is 39 how old is the youngest sibling variable equ
Verdich [7]

Answer:

Step-by-step explanation:

Let x = the age of the youngest child

Let x + 1 = the age of the middle child

Let x + 2 = the age of the oldest child

x + x + 1 + x + 2 = 39

3x + 3 = 39

3x = 36

x = 12 years

8 0
3 years ago
Question 5 :)) What is the measure of the missing angle?​
Stella [2.4K]
The answer is 115 because the interior angle is 65 and 115 plus 65 is 180. You want 180 because the angles are opposite and make a straight line
6 0
3 years ago
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