Answer:
5.24, 21/4, or 5 and 1/4
Step-by-step explanation:
78+139+14 = 231
231/44 = 5.25
Or 21/4 (improper fraction)
Or 5 and 1/4 (mixed number)
I'm not exactly sure what you were asking I hope that helps!
Part A: The slope of the linear function, f(x), equals 8, while the slope of g(x) = 3x - 2 equals 3.
--- Steps ---
Linear Function:
y2 - y1 -1 + 9
---------- = ---------- = 8
x2 - x2 0 + 1
g(x) = 3x - 2
Slope Intercept Form ~ y=mx+b
m is the slope, so in this equation, the slope is 3.
Part B: The function g(x) = 3x - 2 has a greater y intercept.
How to find the y intercepts:
g(x) = 3x - 2
The y intercept here is 2 because in slope intercept form, m is the slope and b is the y intercept: y =mx+b
F(x) table of values:
The y intercept here is -1. I found my answer by plotting all of the points on a coordinate grid. When you plot (0, -1), you will see that there is a spot where the line hits the y axis. That point is called the y intercept. So your y - value is -1, making the y intercept -1 also.
I hope this helps you out.
Here you go. Ask anything if you have more questions.
Answer:
19 or √145 ≈ 12.04
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
Distance = √
(
x
₂ − x
₁
)² + (
y
₂ − y
₁
)
²
Substitute the actual values of the points into the distance formula.
√
(
4 − ( − 5
))
² + (
(
−
5
)
−
3
)
²
Simplify:
√
145
The result can be shown in multiple forms.
Exact Form:
√
145
Decimal Form:
12.04159457 … ≈ 12.04
Answer:
Yes, there enough tubes for each student to make their rocket.
Step-by-step explanation:
Given - In a course of 37 students they propose to make a rocket with recycled material, in order to make the rockets, in the course there are 151 cardboard tubes that were collected in a recyclable day.
To find - If 4 cardboard tubes are needed to make a rocket, are there enough tubes for each student to make their rocket ?
Proof -
Given that,
1 rocket is made with 4 cardboard tubes
Total cardboard tubes = 151
Now,
1 student will make 1 rocket
Total students = 37
⇒Total rockets made by the course = 37
Now,
1 rocket used 4 cardboard tubes
⇒37 rocket used 37×4 cardboard tubes
⇒37 rocket used 148 cardboard tubes.
As
148 < 151
⇒There are enough tubes for each student to make their rocket.