Yolanda makes 6 goals and 2 penalties ending the game with 16 points and neel earns 4 goals and 2 penalties and ends the game with 6 points use x and y to represent the number

Answers

Answer 1
Answer:

the number of goals Yolanda scores without penalties is x = 8, and the number of goals Neel scores without penalties is y = 0.

Let x be the number of goals Yolanda scores without penalties, and let y be the number of goals Neel scores without penalties.

According to the problem, Yolanda makes 6 goals and 2 penalties, so her total number of goals is:

x + 6

And her total number of points is:

(x + 6) + 2(1) = x + 8

Similarly, Neel scores 4 goals and 2 penalties, so his total number of goals is:

y + 4

And his total number of points is:

(y + 4) + 2(1) = y + 6

We know that Yolanda ends the game with 16 points, so we can write:

x + 8 = 16

Subtracting 8 from both sides, we get:

x = 8

We also know that Neel ends the game with 6 points, so we can write:

Y + 6 = 6

Subtracting 6 from both sides, we get:

y = 0

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Suppose the function shown below was expressed in standard form, y=ax^2+bx+c. What is the value of a? the graph shows a parabola facing downward with a vertex of (1,4) and the x intercepts are (3,0) and (-1,0) with a y intercept of (0,3)...?

Answers

y = -a(x - 1)^2 + 4 = -a(x^2 - 2x + 1) + 4 = -ax^2 + 2ax - a + 4 . . . (1)
y = -a(x - 3)(x + 1) = -a(x^2 - 2x - 3) = -ax^2 + 2ax + 3a . . . (2)

Equating (1) and (2), we have that
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Required equation is
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Therefore, a = -1

This is the graph they are referring to


If 35 is 7 times as many as 5, which other statement is true? 35 is 5 more than 7. 5 is 7 more than 35. 35 is 5 times as many as 7. 5 is 7 times as many as 35.

Answers

Answer:

35 is 5 times as many as 7.

Step-by-step explanation:

5*7 = 7*5

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42 = -7 (z - 3)

z = ?

Answers

Answer:

The answer to your question is z = -3

Step-by-step explanation:

Expand                 42 = -7(z - 3)

                             42 = -7z + 21

Simplify                 7z = -42 + 21

                             7z = -21

Clear z                    z = (-21)/(7)

                              z = -3                                                            

42=-7z+21
42-21=-7z
21/-7=-7z/-7
-3=z

Ella spends 2/3 hour practicing the piano each day. She also spends 1/2 hour jogging. What is the least common denominator of the fractions

Answers

Answer=6

to find the LCD of 2/3 and 1/2, we need to find the smallest number that has both 2 and 3 as its factors. This number is 6. 

2/3=?/6

 2  *2   4
__  =  __
 3  *2   6    

2/3=4/6


1/2=?/6

 1  *3    3
__  =  __
 2  *3   6

1/2=3/6

one serving of a cookie recipe calls for 6 tablespoons of sugar. if one serving makes enough for 4 people, how much sugar is needed to serve 10 people?

Answers

15 tablespoons of sugar is needed for 10 people

What is the probability of winning a raffle if 500 tickets are sold and you get 5

Answers

Then the probability is 5/100