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Lera25 [3.4K]
3 years ago
6

Express 3+4x-x^2 in the form y=p-(q-x)^2

Mathematics
2 answers:
BARSIC [14]3 years ago
5 0
This is my way of doing it...
Rearrange the equation to -x^2+4x+3
Then -(x^2 - 4x) + 3
-[(x-2)^2 - 4] +3
-[(x-2)^2] +4+3
-(x-2)^2 + 7

final answer : y=7-(x-2)^2
k0ka [10]3 years ago
3 0
The answers gonna be y=7-(x-2)^2
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Write a postive or negative integer that repesents the situation. A football team loses 3 yards
Andreas93 [3]

Answer: -3

Step-by-step explanation:

Loses means negative. It is getting lesser and if you use a number line and start from zero, you move to the left side of it and get -3. I hope that helps.

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3 years ago
A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents f
professor190 [17]

Answer:

The expected game value is -1 cent

Step-by-step explanation:

Here, we want to calculate the expected value of the game

We have 4 aces and 4 kings, including 26 red cards

The number of aces is 4

Probability of drawing an ace is 4/52 = 1/13

Probability of drawing a king is also 4/52 = 1/13

There are 26 red cards

The number of red cards that are neither ace nor king

There are 2 red aces and 2 red kings

So the number of cards that are red but are not

aces nor kings are 26-2-2 = 22

The probability of selecting this is 22/52 = 11/26

So the expected value is simply the probability multiplied by the amount

Thus, we have;

(60 * 1/13) + (30 * 1/13) + (5 * 11/26)

= 60/13 + 30/13 + 55/26

= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents

we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent

7 0
3 years ago
The cost of playing golf increases with the number of games played. Identify the independent and dependent quantity in the situa
Viefleur [7K]
Independent variable: games played
Dependent variable: cost
6 0
3 years ago
Read 2 more answers
What is the NEXT step in solving this system of equations, and what is the solution for the value of "y"?
Mazyrski [523]

Answer:

There is no next step, the problem is answered!

Step-by-step explanation:

6 0
2 years ago
ًُ]ًٍُِ]ًًًًٍُُِِ]]ِ
ASHA 777 [7]

Answer:

1. \overline {TU}

2. <u>Given</u>

3. \overline {RT}  

4. <u>Side-Side-Side (SSS) rule of congruency</u>

Step-by-step explanation:

The two column proof is presented as follows;

Statement    {}                Reason

1.  \overline {RS} ≅  \overline {TU}    {}            Given

2. \overline {ST} ≅  \overline {UR}     {}           <u>Given</u>

3. \overline {RT} ≅  \overline {RT}     {}           Reflexive property

4. ΔRST ≅ ΔTUR   {}      <u>SSS rule of congruency</u>{}

The Side-Side-Side rule of congruency states that if three sides of one triangle are congruent to three sides of another triangle then both triangles are congruent.    

7 0
2 years ago
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