Answer:
2(3x + 7)(2x - 1)
Step-by-step explanation:
You can see it a little easier if you take out a common factor of 2
2(6x^2 + 11x - 7)
The 6 leaves you with a lot of factors, the 7 does not. It only has 2 factors.
Let 6 factor into 2 and 3 and the 7 into 7 and 1
2(3x - 1 )(2x + 7)
Now remove the brackets.
2(6x^2 + 21x - 2x - 7) This obviously does not work but we'll combine like terms anyway.
2(6x^2 + 19x - 7)
So we'll try it again
2(3x + 7)(2x - 1)
2(6x^2 + 14x - 3x - 7) Looks like we have it.
2(6x^2 + 11x - 7)
So the right factors are
2(3x + 7)(2x - 1)
14000
+12000
------------
26000
Answer:
Explanation:
You need to use derivatives which is an advanced concept used in calculus.
<u>1. Write the equation for the volume of the cone:</u>

<u />
<u>2. Find the relation between the radius and the height:</u>
- r = diameter/2 = 5m/2 = 2.5m
<u>3. Filling the tank:</u>
Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.
The ratio x/y is the same r/h
The volume of water inside the cone is:


<u>4. Find the derivative of the volume of water with respect to time:</u>

<u>5. Find x² when the volume of water is 8π m³:</u>
m²
<u>6. Solve for dx/dt:</u>


<u />
<u>7. Find dh/dt:</u>
From y/x = h/r = 2.08:

That is the rate at which the water level is rising when there is 8π m³ of water.
Answer to the given equation is 32z + 3y = 14.
- Step 1: Given data: The given equation is 15 (y - 4) - 2 (9y - 11 ) = 4 (8z - 13)
- Step 2: Solving the above equation,
15y - 60 - 18y + 22 = 32z - 52
- 3y - 38 = 32z - 52
- 3y + 52 - 38 = 32z
- 3y + 14 = 32z
32z + 3y = 14
Hence, we get 32z + 3y = 14
Learn more about solving linear equations, refer:
brainly.com/question/2159099