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marissa [1.9K]
3 years ago
12

X2 +x − 4 = 0

Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0

Answer:

  • a=1
  • b=1
  • c=-4
  • x =  (-1 ±√17)/2

Step-by-step explanation:

The coefficient of x^2 is "a". That is 1.

The coefficient of x is "b". That is 1.

The constant term is "c". That is -4.

The values of a, b, and c are 1, 1, and -4, respectively.

_____

The solution is ...

  x = (-b ±√(b^2-4ac))/(2a)

Filling in the values of a, b, and c, this is ...

  x = (-1 ±√(1^2 -4·1·(-4)))/(2·1)

  x = (-1 ±√17)/2

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Answer:

Each hotdog costs $1.65

Each juice drink costs $1.05

Step-by-step explanation:

Let's begin by letting x represent the number of hot dogs and y the number of juice drinks.

The Baxter family bought 6 hot dogs and 4 juices for $14.10.

6x + 4y = 14.10

The Farley family bought 3 hot dogs and 4 juices for $9.15.

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6x+4y-3x-4y=14.1-9.15\\3x = 4.95\\\frac{3x}{3} = \frac{4.95}{3}

\frac{4.95}{3} = 1.65

x = 1.65

NOW, we find y by substituting x with 1.65 (in either equation).

We'll use the first equation.

6x + 4y = 14.10

6(1.65) + 4y = 14.10

9.9 + 4y = 14.10\\4y = 14.1 - 9.9\\4y = 4.2

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x = 1.65

y = 1.05

x represents hotdogs and y represents juice drinks.

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<em> I hope this helps! :)</em>

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