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Lana71 [14]
3 years ago
12

The vampires play 20 games. The team won 4 more games then it lost. How many games did the vampires won

Mathematics
2 answers:
kari74 [83]3 years ago
7 0
W = No.\ of\ games\ won\\
L = No.\ of\ games\ lost\\\\W+L = 20----(1)\\\\
Also\ given\ that\\W = L+ 4----(2)\\\\Putting(2)\ in\ (1)\\\\(L+4) +L = 20\\2L = 20 -4\\2L= 16\\Divide\ both\ sides\ by\ 2,\ we\ get\\\\L =8----(3)\\\\Put\(3)\ in (2)\\W = 8 + 4\\\\W = 12\ \ Answer
guajiro [1.7K]3 years ago
6 0
The vampires won 12 games and lost 8
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What is the missing constant term in the perfect square that starts with x^2+2x?
Natasha_Volkova [10]

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Step-by-step explanation:

Given

x² + 2x

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Type the correct answer in the box. Rewrite the quadratic equation in the form y = a(x − h)2 + k. y=5x^2-30x+95
S_A_V [24]

Answer:

y = 5(x - 3)^2 + 50

Step-by-step explanation:

The problem wants you to rewrite the quadratic equation in the vertex form y = a(x - h)^2 + k

You are given a quadratic equation in standard form (ax^2 + bx = c).

To convert from standard form to vertex form, there are two ways but I will show you the easier(?) way.

Use the formula x = -b/2a to find the x-value (h) of the vertex. Note that the vertex in "vertex form" is (h, k) which is virtually the same as (x, y).

In y = 5x^2 - 30x + 95, a = 5, b = -30, and c = 95. Substitute a and b into the formula -b/2a.

  • -(-30) / 2(5)

Two negative make a positive, so -(-30) becomes 30 and 2 times 5 is 10. Now we have:

  • 30/10 which simplifies down to 3.

The x (h) value of the vertex is 3. To find the y-value, substitute 3 into the original standard form equation.

  • y = 5(3)^2 - 30(3) + 95
  • = 5(9) - (90) + 95
  • 45 - 90 + 95
  • 50

The y (k) value of the vertex is 50. Now we have: (h, k) ⇒ (3, 50).

Substitute the values for h and k into the vertex form.

  • y = a(x - 3)^2 + 50

We still need the a-value, and this is easy to find. You take the a value from the original standard for equation (remember: <u>a</u>x^2 + bx + c)

So our a-value is 5. Now we can substitute this value into the vertex form and complete the question.

y = 5(x - 3)^2 + 50

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3 years ago
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Illusion [34]

did this answer your question...no. OK well that is your loss

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