Answer:
Solutions are (6,3) and (-2,3).
Step-by-step explanation:
From the first equation given we can write:
substituting for
in the second equation given we get


∴ y=3
Putting y=3 in the first equation we get

x-2 = ±4
Hence x=6 or x=-2.
Answer:
B
Step-by-step explanation:
when we factor completely, we take a look at what is the biggest common factor of 7x³y⁴ and 7x²y⁵. In this case it is 7x²y⁴.
7x³y⁴-7x²y⁵ = 7x²y⁴(x-y) which is B.
Answer:

Step-by-step explanation:
step 1:- by using partial fractions
......(1)
<u>step 2:-</u>
solving on both sides

substitute x =0 value in equation (2)
1=A(1)+0
<u>A=1</u>
comparing x^2 co-efficient on both sides (in equation 2)
0 = A+B
0 = 1+B
B=-1
comparing x co-efficient on both sides (in equation 2)
<u>-</u>1 = C
<u>step 3:-</u>
substitute A,B,C values in equation (1)
now

by using integration formulas
i) by using
.....(b)
.....(c)
<u>step 4:-</u>
by using above integration formulas (a,b,and c)
we get answer is

Answer:
1.15%
Step-by-step explanation:
To get the probability of m independent events you multiply the individual probability of each event. In this case we have m independent events, each one with the same probability, therefore:


This is a particlar scenario of binomial distribution problem. So the binomial distribution questions are about the number of success of m independent events, where every individual event has the same p probability. In the question we have 20 events and each event has a probability of 80%. The binomial distribution formula is:

n is the number of events
k is the number of success
p is the probability of each individual event
is the binomial coefficient
the binomial coefficient allows to find the subsets of k elements in a set of n elements. In this case there is only one subset possible since the only way to get 20 of 20 correct questions is to getting right all questions (for getting 19 of 20 questions there are many ways, for example getting the first question wrong and all the other questions right, or getting second questions wrong and all the other questions right, etc).

therefore, for this questions we have:

You need to apply the same reasoning.
25 cents is 25% of a dollar because they are 25 out of 100, that is 25/100 = 25%
For 23 cents is exactly the same reasoning:
23 cents is 23% of a dollar <span>because they are 23 out of 100 cents, that is 23/100 = 23%</span>