Answer:
Step-by-step explanation:
Problem One (left panel)
<em><u>Question A</u></em>
- The y intercept happens when x = 0
- That being said, the y intercept is 50. It was moving when the timing began.
<em><u>Question B</u></em>
The rate of change = (56 - 52)/(3 - 1) = 4/2 = 2 miles / hour^2 (you have a slight acceleration.
<em><u>Question C</u></em>
- 60 = a + (n-1)d
- 60 = 50 + (n - 1)*2
- 10/2 = (n - 1)*2/2
- 5 = n - 1
- 6 = n
The way I have done it the domain is n from 1 to 6
Question 2 (Right Panel)
<em><u>Question A</u></em>
The equation for the table is f(x) = 3x - 3 which was derived simply by putting all three points into y = ax + b and solving.
- f(0) = ax + b
- -3 = a*0) + b
- b = - 3
- So far what you have is
- f(x) = ax - 3
- f(-1) = a*(-1) - 3 but we know (f(-1)) = -6
- - 6 = a(-1) - 3 add 3 to both sides
- -6 +3 = a(-1) -3 + 3
- -3 = a*(-1) Divide by - 1
- a = 3
- f(x) = 3x - 3 Answer for f(x)
- The slope of f(x) = the coefficient in front of the x
- f(x) has a slope of 3
- g(x) has a slope of 4
<em><u>Part B</u></em>
- f(x) has a y intercept of - 3
- g(x) has a y intercept of -5
- f(x) has the greater y intercept.
- -3 > - 5
Answer:
$.75
Step-by-step explanation:
9 ÷ 12 = 0.75
.75 × 12 = 9
<span>point-slope equation
y - 8 = 3(x - 6)
hope it helps</span>
The first thing we must do for this case is to equal both functions and clear the value of x. Thus, we obtain the values that satisfy both equations.
However, there is another solution route. We have a table with the values.
The solution for f (x) = g (x) will be all x satisfying both equations simultaneously.
f (0) = g (0) = 1
f (1) = g (1) = 1/2
answer
x = 0
x = 1
Note:
F (0) in the table is incorrect if the function is
f (x) = 0.5x
F (0) in the table is correct if the function is
f (x) = 0.5 ^ x
Answer:
42°
Step-by-step explanation:
Sum of all the angles inside of any triangle is always 180°.
Therefore:
180 = y + 90 + 48
y = 180 - 90 - 48
y = 42°
