Answer:
Using the form y = m x + b where b is the y-intercept and m the slop
1. 6.85 is the y-intercept- when c = 0 the value of y will be 6.85
2. the slope here is m = 2.95 that means for every increase of 1 on the x-axis which is c the value of y increases by 2.95 (additional cost of each child)
3. If no children were to go the cost would be 6.85 (c = zero)
So she paid 18.65 - 6.85 = 11.8 for the children that went
11.8 / 2.95 = 4 so 4 of her grandchildren attended
Answer:
A. F(x)=x^2
Step-by-step explanation:
Answer:
a(1) = 10
a(n) = a(n-1)·0.6
Step-by-step explanation:
The first term of the sequence is the one listed first: 10. That means a(1) = 10.
The next term of the geometric sequence will be the first term multiplied by the common ratio. That ratio can be found as the ratio of the second term to the first:
r = 6/10 = 0.6
So, the recursive formula is ...
a(n) = a(n-1)·r
a(n) = a(n-1)·0.6
Answer:
3
Step-by-step explanation:
The abscissa of the ordered pair, that is the x-coordinate, is equal to 1 and the ordinate, the y-coordinate, is equal to -1. In the cartesian plane, this point lies in the fourth (IV) quadrant. The standard position of the angle is that which has one of its side is in the x-axis.
Solve for the hypotenuse of the right triangle formed.
h = sqrt((-1)² + (1)²) = √2
Below items show the calculation for each of the trigonometric functions.
sin θ = opposite/hypotenuse = y/h = (-1)/(√2) = -√2/2
cos θ = adjacent/hypotenuse = x/h = (1)/√2 = √2/2
tan θ = opposite/adjacent = y/x = -1/1 = -1