For this case, the first thing you should keep in mind is:
The solution of the inequation system is given by the shaded region.
Each inequality is met to the right of each graph.
We have then:
For inequation 1:
(2, 6)
(1, -3)
(-2, 5)
For inequation 2:
(2, 6)
(-1,-1)
(-3. 4)
(1, -3)
For the system:
(2, 6)
(1, -3)
11 you count by 3 with the pizzas and 2 with the side dishes
Answer:
The quadratic equation is x^2-2x-4
Step-by-step explanation:
We want to know the equation that has the solution below;
x = 1 ± √5
This means x = 1 + √5 or 1 - √5
The equation would thus be;
(x-1-√5)(x-1+ √5)
= x(x-1+ √5)-1(x-1+ √5)-√5(x-1+ √5)
Opening the brackets we have ;
x^2-x+ √5x-x + 1 -√5-√5x+ √5-5
collecting like terms we have;
x^2-2x+1-5
= x^2-2x-4
Answer:
Lines RS and TV are parallel.
Line TV has a slope of 0.
Line SW has an undefined slope.
Step-by-step explanation:
Lines RS and TV are parallel as we know they will never meet because they are straight lines.
Line TC has a slope of 0 because it is horizontal.
Line RS can't be the slope of 6, because a slope greater or less than 0 will be diagonal.
Line SW has an undefined slope because it is vertical.
Line SW is perpendicular to both as it forms a 90-degree angle for both, so the 5th term is wrong.
Answer:
The chance of an average six-sided number cube landing one one number is 1/6, or approximately 16.67%. When rolling a number cube 100 times, the average number of times it lands on any specific number should be fairly close to 16.67.
A 6 being rolled 42 times and 33 times means that it is <em>very likely</em> not to be a standard number cube. Although we cannot know for certain, the chance of this happening is very low.