The answer will be: Y = -2/5x - 4
Slope intercept form: y= Mx+b
You find the slope (M) using: rise/run formula
You find (b) by looking at the y-intercept
Answer:
correct option is C) 2.8
Step-by-step explanation:
given data
string vibrates form = 8 loops
in water loop formed = 10 loops
solution
we consider mass of stone = m
string length = l
frequency of tuning = f
volume = v
density of stone =
case (1)
when 8 loop form with 2 adjacent node is
so here
..............1
and we know velocity is express as
velocity = frequency × wavelength .....................2
= f ×
here tension = mg
so
= f × ..........................3
and
case (2)
when 8 loop form with 2 adjacent node is
..............4
when block is immersed
equilibrium eq will be
Tenion + force of buoyancy = mg
T + v × × g = mg
and
T = v × - v × × g
from equation 2
f × = f ×
.......................5
now we divide eq 5 by the eq 3
solve irt we get
so
relative density
relative density = 2.78 ≈ 2.8
so correct option is C) 2.8
Answer: they can rent the room for less than 6 hours.
Step-by-step explanation:
Let x represent the possible amounts of time in which they can rent the room.
There is a reservation fee of $47 and an additional hourly fee of $7.40. This means that the total cost of renting the room for x hours would be
47 + 7.4x
The math club wants to spend less than $91.40 on renting the room. This would be expressed as
47 + 7.4x < 91.4
7.4x < 91.4 - 47
7.4x < 44.4
x < 44.4/7.4
x < 6
Answer:
y - 5 = -4(x + 3)
Step-by-step explanation:
This question is asking you to use and make an equation using the base of the "point-slope form." This is a common equation used when dealing with coordinates and graphs in math. The point-slope form equation looks like this:
y - y₁ = m(x - x₁).
We are going to need to use this equation base to create our problem from the information given. If you are wondering what those subscripts of 1 mean (the 1 in y₁ and x₁), I will explain. Remember that:
slope (m) = <u>y - y₁</u>
x - x₁
So, our first y value (which is the y-coordinate of 5 in [-3, 5]) can be added into the problem base that I had mentioned above:
y - <u>5</u> = m(x - x₁).
Now, we need to place the first x value (which is the -3 in [-3, 5]) can be added into the base problem once more:
y - 5 = m(x - (<u>-3</u>)).
Because a negative number with a negative symbol in front of it creates a positive, we can change that as well:
y - 5 = m(x + 3).
Fortunately, the question provides a slope ready for use. The question says that the slope is -4, so we can place this into the equation now:
y - 5 = -4(x + 3).
I hope that this helps.