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
8x4=32
32 divided by 2 = 16
the answer is 16 square feet
hope this helps :)
The length of the envelope is 6.3 inches
Step-by-step explanation:
Width of the envelope = 3 inches
Diagonal of the envelope = 7 inches
To find:
The length of the envelope.
Let the length of the envelope be 'l'
We can use pythogoras theorem to calculate the length.
l = √(49-9)
l = √(40)
l = 6.3 inches
The length of the envelope is 6.3 inches
Answer:
(22,0)
Step-by-step explanation:
1. Select any two points given and find their slope (rise/run)
(-38, 40) and (-23, 30)
slope = 
= - 2/3
2. Use the slope and one of the points to create an equation of the line in the format y = mx + b, where m = slope and b = y-intercept.
y = mx + b ⇒ 40 = -2/3 (-38) + b
3. Solve for b
40 = -2/3 (-38) + b
40 = 76/3 + b
40 - 76/3 = b
b = 44/3
4. To find the x-intercept, set y = 0, and solve.
y = -2/3 x + 44/3
0 = -2/3 x + 44/3
2/3 x = 44/3
x = 22
Hope this helped!
Answer:
approx 7.81 Exactly: √61
Step-by-step explanation:
Use Pythag theorem: 5^2 + 6^2 = hyp^2 (line AS)
25 + 36 = 61
hyp = √61 or about 7.81
