Please, use " ^ " to denote exponentiation: x^2 + 4x - 21 = 0
Factor: (x+7)(x-3)=0
Solve for the 2 roots: x= -7 and x= 3: {3, -7} Note how this is in set notation.
Domain 0≤x≤12 this means the domain (x values) are between x=0 and x=12 and you started measuring the degree of temperature starting at a time of 0 and stopped measuring the temperature at a time of 12 hours
Range -4≤y≤4 this means the range (y values) are between y=-4 and y=4. The range is referring to the degree in celcius based on what time you measured it
Hope this helps!
<span>Rate of pump A: 1/8 of a pool per hour
Rate of pump B: 1/9 of a pool per hour
Combined rate: 1/8+1/9 = 17/72 +1/9 = 25/72
So if they work together, the two pumps have a combined rate of 25/72 of a pool per hour (i.e in one hour, the two pumps will empty 25/72 of the pool)
</span><span>But we want to empty ONE pool (not 25/72 of one). So we need to multiply 25/72 by some number x to get 1.
</span>
<span>Now solve for x
x=2.88
</span><span>It will take the two pumps 2.88 hours to empty the pool.
2 hours 52 minutes 50 seconds</span>
Answer:
$29,900
Step-by-step explanation:
The computation of the balance of Work in Process as of April 30 is shown below:
= Opening balance of work in process + direct material cost + direct labor cost + factory overhead cost - goods finished
= $7,000 + $78,400 + $195,000 + $136,500 - $387,000
= $29,900
The direct material cost + direct labor cost + factory overhead cost is known as manufacturing cost