Answer:
y=-3x+7
Step-by-step explanation:
slope intercept from is y=mx+b where m is slope and b is the intercept. so far we can plug in what we know. -8=y; 5=x; and -3=m.
(-8)=(-3)(5)+b. now solve for b which would give us b=7. now we plug in m and b int y=mx+b which gives us
y=-3x+7
Answer:
x= 4/5 or x = -2
Step-by-step explanation:
Step 1: Subtract -6x from both sides.
5x^2 -8 - -6x = -6x -6x
5x^2 + 6x - 8 = 0
Step 2: Factor left side of equation.
(5x - 4) (x + 2) = 0
Step 3: Set factors equal to 0.
5x - 4 = 0 or x + 2 = 0
Hense the Answer is x= 4/5 or x = -2
Answer:
x = 0.1116 (rounded to 4 decimal places)
Step-by-step explanation:
We need to isolate "e" first, so we do:
Solving these types of equations requires us to take the Natural Logarith (Ln) of both sides, so we have:
We can use the property of logarithms shown below to further simplify:
So, we have:
We know Ln(e) = 1, thus now, we can replace it and solve for x:
So
x = 0.1116 (rounded to 4 decimal places)
The width of the aquarium is 0.1625 ft.
Step-by-step explanation:
Given,
The length (l) of the aquarium = 2 ft
Height (h) = 1.5 ft
The capacity of water it holds = 3.75 gallons
That means the volume (V) = 3.75 gallon
To find the width(b) of the aquarium.
Formula
- The volume of a cuboid with l as length, b as width and h as height = lbh
So,
V = 3.75×0.13 cube ft
According to the problem,
2×1.5×b = 3.75×0.13
or, b = (3.75×0.13)÷(2×1.5)
or, b = 0.1625 ft
Hence,
The width of the aquarium is 0.1625 ft.
