Answer:
<em>The input when the output is 17 is x=6.</em>
Step-by-step explanation:
<u>Functions</u>
Assume the input is called x and the output is the function f(x). Two times the input is 2x. 5 more than that is 2x+5.
Knowing the output of the function is 5 more than 2 times the input, we can write the function as:
f(x)=2x+5
Now find the input x when the output is 17:
17=2x+5
Swap sides of the equation:
2x+5=17
Subtract 5:
2x=17-5=12
Divide by 2:
x=12/6=6
The input when the output is 17 is x=6.
Answer:
(-5,1)
Step-by-step explanation:
X = adult tickets and x+58 = student tickets
Create the equation from the problem.
x + x + 58 = 708
Combine like terms.
2x +58 = 708
Subtract 58.
2x = 650
Divide by 2.
x = 325
Therefore, your answer is:
there were 325 adult tickets sold.
(Adding 58 to that number will get you the student tickets sold which is 383 if they ask.)
Answer:
The correct answer is neither.
Step-by-step explanation:
To find the relationship between the lines, find the slope of each. You can do this by using the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (4 - 1)/(4 - -8)
m = 3/12
m = 1/4
Now do so for the second line.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-3 - -7)/(9 - -9)
m = 4/18
m = 2/9
Since they are not the same and not opposite/reciprocal, then we know they are neither parallel nor perpendicular.
Answer:
The margin of error is 3.465
Step-by-step explanation:
Margin of error = t × sd/√n
n = 92, degree of freedom = n - 1 = 92 - 1 = 91, t-value corresponding to 91 degrees of freedom and 90% confidence level is 1.6618, sd = 20
Margin of error = 1.6618×20/√92 = 33.236/9.592 = 3.465
