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3 years ago

A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies. You pick one candy at random. Find the

Mathematics

1 answer:

Zina [86]3 years ago

4 0

Answer:

97/139

Step-by-step explanation:

You add every thing but red so 45+20+32 which equals 97, so 97 is your numerator and to get the denominator you add all the numbers together so 42+45+20+32 which equals 139.

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Two lines are intersecting. What is the value of x? Enter your answer in the box.

Romashka-Z-Leto [24]

Answer:

x = 19

Step-by-step explanation:

To find the value of x, you set the equations as equal to each other:

$x+23 = 2x+4$

Then you simplify:

$23 = 2x + 4 - x\\23 = x + 4\\23-4 = x\\19=x$

4 0

2 years ago

What are the two roots of the quadratic equation? y=x squared-3x-4

scoundrel [369]

Answer:

{x | x ∈ R, 4,-1}

Step-by-step explanation:

$y=x^2-3x-4$

$y=x^2+x-4x-4$

$y=(x^2+x)+(-4x-4)$

$y=x(x+1)+(-4)(x+1)$ Distributive property

$y=(x+(-4))(x+1)$ Distributive Property

$y=(x-4)(x+1)$

set y to 0

$0=(x-4)(x+1)$

set the factors to 0

$0=x-4; 0=x+1$

$4=x; -1=x$

4 0

3 years ago

Quadratics need help making parabola

timama [110]

Answer:

The equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ , whose real vertex is $(x,y) = (2, -5.333)$ , not $(x,y) = (2, -5)$ .

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

$(x_{1}, y_{1}) = (-2, 0)$ , $(x_{2}, y_{2}) = (6, 0)$ , $(x_{3}, y_{3}) = (0, -4)$

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

$4\cdot a -2\cdot b + c = 0$ (1)

$36\cdot a + 6\cdot b + c = 0$ (2)

$c = -4$ (3)

The solution of this system is: $a = \frac{1}{3}$ , $b = - \frac{4}{3}$ , $c = -4$ . Hence, the equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ . Lastly, we must check if $(x,y) = (2, -5)$ belongs to the function. If we know that $x = 2$ , then the value of $y$ is: