Hello! So, this question is in the form of ax² - bx - c. First thingd first, let's multiply a and c together. c = -8 and a = 5. -8 * 5 is -40. Now, let's find two factors that have a product of 40, but a sum of 18. If you list the factors, you see that 2 and 20 have a product of 40, but 2 - 20 is -18. The factors we will use are -2 and 20.
How to factor it:
For this question, you can use something called a box method and factor it by finding a factor of each column and row. Just make 4 boxes and put 5x² on the top left and -40 on the bottom left box. Put 2x on the top right box and -20x on the bottom left box. Now, factor out for each row and column. The factors should be 5x + 2 for the top part and x - 4 for the side. It should look like (5x + 2)(x - 4). Let's check it. Solve it by using the FOIL method and you get 5x² - 20x + 2x - 8. Combine like terms and you get 5x² - 18x - 8. There. The answer is B: (5x + 2)(x - 4)
Note: The box method may be challenging at first, but it can be really helpful on problems like these.
The formula for volume is V=LWH
So in this example we have 10.4*5*8
So 8*5=40
40*10.4=416
So the volume is 416 cubic mm
Hope that helped
<h3>
Answer: Choice (a) $1,653.66</h3>
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Work Shown:
Use the compound interest formula
A = P*(1+r/n)^(n*t)
A = 10000(1+0.039/1)^(1*4)
A = 11,653.65589441
A = 11,653.66
That's the amount of money Tammy will have at the end of 4 years.
Subtract off the principal from this value to get the interest.
interest = A - P
interest = 11,653.66 - 10,000
interest = 1,653.66
Answer:
349.02 / 42 = answer
Step-by-step explanation:
method used is dividing total cost by number of goods used gives the exact cost of each plant
Answer:
Step-by-step explanation:
Since; the density function diagrams were not included in the question; we will be unable to determine the best which depicts this problem.
However;
Let use X to represent the time required for the delivery.
Then X~N(3.8 ,0.8)
i.e
E(x) = 3.8
s.d(x) = 0.8
NOW; P(x>4) = P(X-3.8/0.8 > 4-3.8/0.8)
= P(Z > 0.25)
= 1-P(Z < 0.25)
=1 - Φ (0.25)
= 1 - 0.5987 ( from Normal table Φ (0.25) = 0.5987 )
= 0.4013
Thus; the probability a single delivery would take more than 4 hours is 0.4013
What is the z value corresponding to the interval boundary?
The z value is calculated as:


z = 0.25