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3 years ago

9

A certain spinner has equally sized slices. The probability of landing on a green slice is 1/4. What are the odds in favor of la

nding on a green slice?

1 answer:

garri49 [273]3 years ago

7 0

THE PROBABILITY IS likely to be one half half of the slice of the pizza

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1. What are the solutions (coordinate points) to the system of equations?

Leto [7]

Question 1

The given system of equations is:

$y = {x}^{2} + 5x + 6 \\ y = 3x + 6$

Equate the two equations:

${x}^{2} + 5x + 6 = 3x + 6$

Rewrite in standard form:

${x}^{2} + 5x - 3x + 6 - 6 = 0$

${x}^{2} + 2x = 0$

$x(x + 2) = 0$

$x = 0 \: or \: x = - 2$

When we put x=0, in y=3x +6, we get:

$y = 3(0) + 6 = 6$

One solution is (0,6)

When we put x=-2, into y=3x+6, we get:

$y = 3( - 2) + 6 = 0$

Another solution is (-2,0)

The solutions are; (0,6) and (-2,0)

Question 2:

The function is

$f(x) = {x}^{6} - {x}^{4}$

Let us put x=-x,

$f( - x) = {( - x)}^{6} - {( - x)}^{4}$

This gives:

$f( - x) = {x}^{6} - {x}^{4}$

We can observe that:

$f(x) = f( - x)$

This is the property of an even function.

Question 3:

The given function is

$f(x) = {x}^{2} + 3x - 2$

The average rate of change of f(x) from x=a to x=b is given as:

$\frac{f(b) - f(a)}{b - a}$

This is the slope of the secant line connecting the two points on f(x)

From x=2 to x=6, the average rate of change

$= \frac{f(6) - f(2)}{6 - 2} \\ = \frac{ {6}^{2} + 3 \times 6 - 2 - {2}^{2} - 3 \times 2 + 2 }{4} \\ = \frac{36 + 18 - 4 - 6}{4} \\ = \frac{44}{4} \\ = 11$

The average rate of change is 11

3 0

3 years ago

Plz help me out. branliest whoever gets it right

Likurg_2 [28]

Answer:

True!

Step-by-step explanation:

If an object travels at a constant speed, then the distance traveled is directly proportional to the time spent traveling, with the speed being the constant of proportionality. The circumference of a circle is directly proportional to its diameter, with the constant of proportionality equal to π.

3 0

3 years ago

Read 2 more answers

Tracey is counting all the change she has been saving in her car. She only collects silver coins and finds that she has eight le

Mademuasel [1]

Imma say i just took like 15 min doing this so when i did q20 d28 n36 i got 9.60 but when i did q19 d26 n34 i got 9.05 so pick your choice

3 0

3 years ago

Which equation is true ?

Hitman42 [59]

3.4/-9=4/9 this is the true equation

4 0

3 years ago

Please help me answer these questions

sp2606 [1]

Answer: 1. D. IV

2. A. I

3. A. I

Step-by-step explanation: 1. You have to move the quadrilateral (the shape) 7 units to the right and down 5 units. You can see that it is in the fourth quadrant.

2. You have to flip the shape over the y-axis. It moves to the first quadrant.

3. If you rotate the shape to the right around the origin, it ends up in the first quadrant.

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3 years ago