Answer:
Option D.
Step-by-step explanation:
The slope of a horizontal line is 0.
It is given that the function 1 is a horizontal line that passing through the y-axis at y = 4.
It means the rate of change of function 1 is 0.
The slope intercept form of a linear function is 1
where, m is slope and b is y-intercept.
The function 2 is 2
On comparing (1) and (2), we get
The rate of change of function 2 is 8.
The difference between rate of change is
The rate of change of function 2 is 8 more than the rate of change of function 1.
Therefore, the correct option is D.
Answers;
Question 1 answer: The first and last option.
Question 1 explanation: 2(4x + 2) is 4x = 12 = 2 = 14 x 2 = 28 and 8x + 4 is 8 x 4 = 32 + 4 = 36 which is 8 more than 28 then, 3x = 9 + 2 + 3 x 2 = 28.
2(4x + 2) = 28 and 8x + 4 equals 36 which is 8 more and they're both equivalent to 2(3x + 2 + x) because 2(3x = 2 = x) equals 28.
Answer:
mode is 39
Step-by-step explanation:
Answer:
C: y+7=2/5(x+4)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
You are given m=2/5 and (h, k) = (-4, -7). Put these numbers into the form and simplify the signs:
y -(-7) = 2/5(x -(-4)) . . . . . numbers put into the form
y +7 = 2/5(x +4) . . . . . . . signs simplified . . . . matches choice C
Answer:
- distance traveled: 30 m
- displacement: 21.4 m
Step-by-step explanation:
You want the distance traveled and the displacement after walking 17 m south and 13 m east.
<h3>Distance</h3>
The distance traveled is the sum of the lengths of each leg of the trip:
17 m + 13 m = 30 m
You have traveled a distance of 30 m.
<h3>Displacement</h3>
The displacement is the distance from your final position to your starting position. If you draw a diagram of the journey, you see the displacement is the hypotenuse of a right triangle with legs 17 m and 13 m. The Pythagorean theorem can help you find this length:
h = √(a² +b²)
h = √(17² +13²) = √(289 +169) = √458 ≈ 21.401
At the end of your walking, you are 21.4 m from where you started.
