Answer:
f(8) = 3^8 = 6561
Step-by-step explanation:
f(x) = 3^x
Let x =8
f(8) = 3^8
= 6561
The angle is in the second quadrant so only the sine is positive .
Length of the hypotenuse = sqrt (-1^2 + 3^2) = sqrt10
sine = 1/sqrt10 = 0.3162 to 4 dec places
tangent = 1 / -3 = -0.3333 to 4 d p's
cosine = -3/sqrt10 = -0.9487 to 4 d, p's.
Given:
The table of values is:
x : -7 -5 -3 -1
y : 5 9 13 17
To find:
Whether the given data is linear and then find the equation.
Solution:
The given data is linear if the slope and rate of change is constant.
Slope formula:

Using the slope formula. we get



Since the rate of change is constant, i.e., 2, therefore the given data is linear.
The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:




Adding 5 on both sides, we get


Therefore, the equation for the given data is
.
They didn’t use a ruler I think they made their own materials from what they had. Also thank you.
Answer:
The number of children's tickets sold was 31 and the number of adult tickets sold was 2
Step-by-step explanation:
Let
x ---> the number of children's tickets sold
y ---> the number of adult tickets sold
we know that
the theater sold 33 tickets
so
-----> equation A
the theater made a total of $158.50
so
----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
using a graphing tool
The solution is the point (31,2)
see the attached figure
therefore
The number of children's tickets sold was 31 and the number of adult tickets sold was 2