The company charges $ a0 per hour What is the value of b2 - 4ac for the following equation? x(x + 8) = 9

Mathematics

1 answer:

Mila [183]3 years ago

6 0

Answer:

The value of b² - 4 a c = 100

Step-by-step explanation:

Given equation x(x + 8) = 9

⇒ x² + 8 x = 9

⇒ x² + 8 x - 9 =0

The standard form of quadratic equation

a x ² + b x + c

Here a = 1 , b = 8 , c = -9

The value of b² - 4 a c = ( 8)² - 4 (1)(-9)

= 64 + 36

= 100

Final answer:-

The value of b² - 4 a c = 100

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1. Try It #1

padilas [110]

Answer:

The slope of the line representing the linear function f(x) is determined as $-\frac{1}{2}$ . The function f(x) is decreasing because the slope is less than zero, i.e., m<0.

Step-by-step explanation:

A linear function f(x) is given with two points, (2,3) and (0,4) lying on the line representing f(x).

It is asked to determine the slope of the line and state if the function is increasing or decreasing. of the value of the slope obtained.

Step 1 of 1

Determine the slope of the line.

The points as given in the question are (2,3) and (0,4). Now, the formula for the slope is given as

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

So, substitute $4 \& 3$ for $y_{2}$ and $y_{1}$ respectively, and $0 \& 2$ for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows, $m=\frac{4-3}{0-2}$\\ $m=\frac{1}{-2}$\\ $m=-\frac{1}{2}$