Lisa and Krystal are planning trips to ten countries this year. They have 14 countries on their bucket list, in how many ways ca
1 answer:
Answer:
1,001 ways for them to decide.
Step-by-step explanation:
The order in which they will visit the countries is not important, so we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
10 countries from a set of 14. So
1,001 ways for them to decide.
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View the attached photo.
<span>The quadratic function, y = x2, has an x-intercept at the origin = TRUE
</span>
<span>The quadratic function, y = x2 + 3, has an x-intercept at the origin = FALSE
</span>
<span>From x = -2 to x = 0, the average rate of change for both functions is positive = FALSE
When viewing a graph, you start from the left and go to right and from left to right from -2 to 0 the graph is declining.
</span><span>From x = -2 to x = 0, the average rate of change for both functions is negative = TRUE
Both are declining if you read the graph from left to right.
</span><span>For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function. = FALSE
</span><span>
y = x^2
If we insert 2 into y = x^2 we get y = 4 but our point (2,3) has y = 3
</span>For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function. = TRUE
If we insert 2 for x, we see that y = x^2 + 3 = y = 2^2 + 3 = y = 7 and our y value in the point (2,7) is 7.
<span>The quadratic function, y = x2, has an x-intercept at the origin = TRUE
</span>
<span>The quadratic function, y = x2 + 3, has an x-intercept at the origin = FALSE
</span>
<span>From x = -2 to x = 0, the average rate of change for both functions is positive = FALSE
When viewing a graph, you start from the left and go to right and from left to right from -2 to 0 the graph is declining.
</span><span>From x = -2 to x = 0, the average rate of change for both functions is negative = TRUE
Both are declining if you read the graph from left to right.
</span><span>For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function. = FALSE
</span><span>
y = x^2
If we insert 2 into y = x^2 we get y = 4 but our point (2,3) has y = 3
</span>For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function. = TRUE
If we insert 2 for x, we see that y = x^2 + 3 = y = 2^2 + 3 = y = 7 and our y value in the point (2,7) is 7.
Answer:
Slope:
Y-Intercept:
Step-by-step explanation:
1. To find the slope, we need to have the equation in slope-intercept form, which is . In this case, our equation is already in this form.
is what your slope is. In this case, our
2. To find the y-intercept we look at value that is in
. In this case,
is
. So, our ordered pair is
.