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Pavlova-9 [17]
3 years ago
10

There is 174 games scheduled for 6 different leagues each league has the same number of games scheduled how many games does each

league have scheduled
Mathematics
1 answer:
maxonik [38]3 years ago
7 0
Twenty nine games in each league
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Let $f(x) = x^2 + 4x - 31$. for what value of $a$ is there exactly one real value of $x$ such that $f(x) = a$?
enot [183]

To solve for this, we need to find for the value of x when the 1st derivative of the equation is equal to zero (or at the extrema point).

So what we have to do first is to derive the given equation:

f (x) = x^2 + 4 x – 31

 

Taking the first derivative f’ (x):

f’ (x) = 2 x + 4

 

Setting f’ (x) = 0 and find for x:

2 x + 4 = 0

x = - 2

 

Therefore the value of a is:

a = f (-2)

a = (-2)^2 + 4 (-2) – 31

a = 4 – 8 – 31

a = - 35

7 0
3 years ago
Which point lies on the circle represented by the equation (x + 5)2 + (y − 9)2 = 82?
Virty [35]

Answer:

x = −y+45

Step-by-step explanation:

Step 1: Add -2y to both sides.

Step 2: Add 8 to both sides.

Step 3: Divide both sides by 2.

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3 years ago
What is the slope and y intercept of this diagram
Ilia_Sergeevich [38]

The Answer is 1/5 and 5

4 0
2 years ago
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Which event has exactly 12 possible outcomes?
lara [203]

Answer:

rolling a number cube with sides labeled 1 through 6 and tossing a coin.

Step-by-step explanation:

We will resolve each statement to determine the events that has exactly 12 possible outcomes.

N = number of possible outcomes for a cube

Nc = number of possible outcomes for a coin

Nca = number of possible outcomes for the cards

i. rolling a number cube with sides labeled 1 through 6 and then rolling the number cube again

Nt = N × N

N = 6 ( cube has 6 possible outcomes and its rolled twice)

Nt = 6 × 6 = 36

ii. tossing a coin and randomly choosing one of 4 different cards.

Nt = Nc × Nca

Nc = 2 ( coin has two outcomes)

Nca = 4 ( 4 possible cards )

B = 2 × 4 = 8

iii. rolling a number cube with sides labeled 1 through 6 and tossing a coin.

N = N × Nc

N = 6 ( cube has 6 possible outcomes)

Nc = 2 (coin has two faces)

N = 6 × 2 = 12 (correct)

Iv. tossing a coin 6 times.

N = Nc^6

Nc = 2

N = 2^6 = 64

Therefore, the correct answer is iii.

rolling a number cube with sides labeled 1 through 6 and tossing a coin.

3 0
3 years ago
How can i know where to place the first digit of a quotient
Leno4ka [110]
Place it in front of the second digit hopefully that helps I'm sorry I'm really tired
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3 years ago
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