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Setler [38]
3 years ago
15

A baseball team scored the following number of runs in its games during the current season: 6, 2, 5, 9, 11, 4, 5, 8, 6, 7, 5. Th

ere is one more game in the season. If the team wants to end the season with an average of atleast 6 runs
per game, what is the least number of runs the team must score in the final game of the season?
Mathematics
1 answer:
andre [41]3 years ago
5 0

Answer: 14 runs

Step-by-step explanation:

The average is the total number of runs divided by the number of games played. In order to work backwards to find the score of the final game, use this equation: <em>(final game score = (average * total number of games) - total runs of all games played so far) </em>

The total number of games in the season is 12. Multiply the average of 6 by 12 to find the total season score needed (6*12=72). Now add up the total number of runs from games 1-11 (6+2+5+9+11+4+5+8+6+7+5=58). Subtract this number from 72 to find the lowest possible score of the final game (72-58=14).

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Help. help. help.<br>no link pls. ​
kondaur [170]

Answer:

x + 2, x ≠ -2

Step-by-step explanation:

Note that F(x) = x^2 + 4x + 4 factors into (x + 2)^2, and that we are dividing this by g(x) = x + 2.  The quotient is x + 2, which in this problem has been named h(x).  

The quotient (f/g)(x) is therefore x + 2 EXCEPT that this is not defined at x = -2, because the denominator, x + 2, will be zero there, undefined.

8 0
3 years ago
Look at the formula for the volume of a cylinder below.
scZoUnD [109]
h = V / ( \pi r^2)

Okay, so we already have the volume equation for a cylinder here.
V = \pi r^2 h
Since we need to find the height(h), we need to basically isolate it in the equation. To do that we just have to divide both sides by (pi * r^2), where we end up with:
V / (\pi r^2) = h(\pi r^2) / (\pi r^2)
then
V / ( \pi  r^2) = h
h = V / ( \pi r^2)
8 0
3 years ago
What is equal to 6(x-4)
nadezda [96]

Answer:

6x - 24

Step-by-step explanation:

6(x-4) .....

Multiply the parentheses by 6:

6x - 6 x 4

Multiply the numbers:

6x - 24

5 0
4 years ago
Find the rational zeros of the polynomial function, f(x)= 4x^3-8x^2-19x-7
Dima020 [189]

Answer:

The rational zero of the polynomial are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1  .  

Step-by-step explanation:

Given polynomial as :

f(x) = 4 x³ - 8 x² - 19 x - 7

Now the ration zero can be find as

\dfrac{\textrm factor of P}{\textrm factor Q} ,

where P is the constant term

And Q is the coefficient of the highest polynomial

So, From given polynomial ,  P = -7 , Q = 4

Now , \dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q}

I.e  \dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q} = \frac{\pm 7 , \pm 1}{\pm 4 ,\pm 2,\pm 1 }

Or, The rational zero are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1

Hence The rational zero of the polynomial are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1  .  Answer

7 0
3 years ago
Create and solve a system of equations for the following scenario: Luke and Leia are selling hot dogs and hamburgers at a minor
mixas84 [53]

So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.


5 0
4 years ago
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