Answer:
p = 
and q = 
Step-by-step explanation:
Given equations:
2p - 3q = 4 -----------(i)
3p + 2q = 9 ------------(ii)
Let's solve this equation simultaneously using the <em>elimination method</em>
(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;
[2p - 3q = 4] x 3
[3p + 2q = 9] x 2
6p - 9q = 12 -------------(iii)
6p + 4q = 18 -------------(iv)
(b) Next, subtract equation (iv) from equation (iii) as follows;
[6p - 9q = 12]
<u> - [6p + 4q = 18] </u>
<u> -13q = -6 </u> -----------------(v)
<u />
<u>(c)</u> Next, make q subject of the formula in equation (v)
q =
(d) Now substitute the value of q = into equation (i) as follows;
2p - 3() = 4
(e) Now, solve for p in d above
<em>Multiply through by 13;</em>
26p - 18 = 52
<em>Collect like terms</em>
26p = 52 + 18
26p = 70
<em>Divide both sides by 2</em>
13p = 35
p =
Therefore, p = and q =
Answer:
a. The expected or average costs for all weekly rat purchases is $20.00
Step-by-step explanation:
a. A mean value of $20.00 means that over a period of 52 weeks, the company can expect to spend $20.00 per week on rat purchases.
b. This is incorrect since individual values don't interfere in the mean. For instance, if half the weeks had a cost of $19.00 and the other half had a cost of $21.00, the mean cost would still be $20.00 even though no particular week had a $20.00 cost
c. Incorrect. The median is the central value in a distribution; the median and the mean are not necessarily the same.
d. Incorrect, same as item b.
Answer:
Mark me as brainliest please!
Step-by-step explanation:
Part A: 7/10 because .7 represents 70/100 of a whole, or 7/10.
Part B: I think 1 and 89/100 because 89/100 represents that fraction
These are my answers, so I may be wrong.
Hope I helped, and good luck!
The expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)
A cubic equation in algebra is a one-variable equation of the form ax3+bx2+cx+d=0 where an is nonzero. The roots of the cubic function defined by the left side of this equation are the solutions to this equation.
Given expression 2x³-3x²-3x+2 whose one of factor is (x-2)
We have to find second factor of given equation
First we will be rational root theorem to given expression so will get following expression:
So one factor is (x-1) and now simplifying 
we get 2x² - 5x +2 and the factor of 2x² - 5x +2 will be (2x-1)(x-2)
Hence the expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)
Learn more about Polynomial here:
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