The sample space is {(1,H), (1,T), (2,H), (2,T), (3,H), (3,T), (4,H), (4,T), (5,H), (5,T), (6,H), (6,T)}
On the number cube, she could roll any of the numbers from 1 to 6. On the coin, she could flip heads or tails.
Answer:
.24
Step-by-step explanation:
The linear function with the same y-intercept with the graphed function is: table A.
<h3>What is a Linear Function?</h3>
The equation that models a linear function is, y = mx + b, where m is the slope and b is the y-intercept.
Slope of the graphed function = rise/run = - 2/1 = -2
Using one of the points on the line (x, y) = (5, 0) and the slope, m = -2, find the y-intercept (b) by substituting the values into y = mx + b:
0 = -2(5) + b
0 = -10 + b
10 = b
b = 10
The slope (m) of the graphed function is -2, and the y-intercept (b) is: 10.
Slope (m) of table A = change in y/change in x = (14 - 8)/(3 - 1) = 3
Substitute a point (x, y) = (1, 8) and slope (m) = 3 into y = mx + b to find the y-intercept (b):
8 = 3(1) + b
8 - 3 = b
5 = b
b = 5
Therefore the table with the same y-intercept as the graphed function is table A.
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Answer:
7
Step-by-step explanation:
x2 + 5x - 7
sub x = 2 in
(2 X 2) + (5 X 2) - 7
4 + 10 - 7
= 7
The best interpretation of 2 in the given context is that; 2 represents the total length of fabric in yards purchased when no costumes were made.
<h3>Slope Intercept Form</h3>
We are given the relationship between the number of costumes that Kai made, x, and the total length of fabric that he purchased y, in yards as; y - 5x = 2
Where;
- x is number of costumes made
- y is total length of fabrics purchased.
Now, the general slope intercept form of an equation is given by; y = mx + c
Where c is the y-intercept which is the point where x is zero.
Thus, our equation can be rewritten as;
y = 5x + 2
Comparing with y = mx + c, we can say that c = 2
This means that at x = 0, y = 2.
In conclusion, the value 2 represents the length of yards purchased when no costumes were made.
Read more about slope-intercept form at;brainly.com/question/1884491
