After understanding the problem, formulate equations to determine the unknown. Let x be the price of one book. Equating Alana&Petra's expense with Angus' would be

5x + 4x +5 = 19x - 10

The 5 in the left side is needed because Angus' expense is $5 more. Also, the 10 on the right side represents the $10 discount. Solving the equation,

19x = 9x = 5+10
10x = 15
x = $1.5

Therefore, the book costs $1.5.

8 0

3 years ago

What is the solutions to 0=x^2-x-6<br> two things <br> ,,quadratic equationz,,,

natita [175]

Answer:

x1=3. x2=-2

Step-by-step explanation:

$x = \frac{ - b + - \sqrt{b {}^{2} - 4ac } }{2a}$

b=-1

a=1

c=-6

$x = \frac{ - ( - 1) + - \sqrt{ {( - 1)}^{2} - 4 \times 1 \times ( - 6) } }{2 \times 1}$

$x = \frac{1 + - \sqrt{1 + 24} }{2}$

$x = \frac{1 + - \sqrt{25} }{2}$

$x1 = \frac{1 + 5}{2}$

$x2 = \frac{1 - 5}{2}$

x1=3

x2=-2

$x = \frac{1 + - 5}{2}$

3 0

2 years ago

Help, i just need the answers and no need for explanations.

maria [59]

Answer:

The equation of the quadratic function shown is;

x^2+ 2x -3

Step-by-step explanation:

Here in this question, we need to know the quadratic equation whose graph was shown.

The key to answering this lies in knowing the roots of the equation.

The roots of the equation are the solution to the quadratic equation and can be seen from the graph at the point where the quadratic equation crosses the x-axis.

The graph crosses the x-axis at two points.

These are at the points x = -3 and x = 1

So what we have are;

x + 3 and x -1

Multiplying both will give us the quadratic equation we are looking for.

(x + 3)(x-1) = x(x -1) + 3(x-1)

= x^2 -x + 3x -3 = x^2 + 2x -3

3 0

3 years ago

What is the median of the data set?

Margaret [11]

22 - Median is in the middle

8 0

3 years ago

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