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Kruka [31]
4 years ago
9

What are the solutions to x2 + 8x + 7 =.b?

Mathematics
1 answer:
loris [4]4 years ago
4 0

Answer:

x = 7 and x = -1

Step-by-step explanation:

First, we need to factor this quadratic.

To do this, start by finding all the factors of C.

7 x 1, -7 x -1

Now, we need to pick out the factors that add up to the b number, which is 8. That would be 7 and 1.

Now, we can use the numbers 7 and 1 to create two binomials.

( x + 7 ) ( x + 1 ) = 0

The last thing we need to do is to set those binomials to 0 and solve each of them individually.

x + 7 = 0

x = - 7

Solving the first binomial gives us our first solution, -7.

x + 1 = 0

x = -1

Solving the second one gives us our second solution, -1.

The solutions are -7 and -1.

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Given that a room is shaped like a golden rectangle, and the length is 29 ft with the ratio of  golden rectangle being (1+√5):2, thus the width of the room will be:
ratio of golden triangle=(length if the room)/(width of the room)
let the width be x
thus plugging the values in the expression we get:
29/x=(1+√5)/2
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3 years ago
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Snezhnost [94]

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A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.046.0 and
Gala2k [10]

Answer:

The probability of selecting a class that runs between 50.2550.25 and 51.2551.25 minutes is 0.10

Step-by-step explanation:

The Uniform Distribution, also known as Rectangular Distribution, is a type of Continuous Probability Distribution. It has a continuous random variable restricted to a finite interval and its probability function has a constant density during this interval.

The formula of probability if given by:

f(x)=

\left \{ {{\frac{1}{b-a}; \ a \leq x \leq b  } \atop {0}; \ x \ otherwise } \right.

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The probability of selecting a class that runs between 50.2550.25 and 51.2551.25 minutes is:

\int\limits^{51.25}_{50.25} {\frac{1}{56-46} } \, dx = \int\limits^{51.25}_{50.25} {\frac{1}{10} } \, dx = \frac{1}{10} \times (51.25 - 50.25)=\frac{1}{10}=0.1

7 0
3 years ago
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