Answer:
Step-by-step explanation:
Given
Equations are and
take
Put the value of y in another equation
Put the value of x in y
Hence,
Which expression is equivalent to 7a^2b + 10a^2b^2 + 14a^2b^3?
2 answers:
Answer:
Option: B is the correct answer.
B)
Step-by-step explanation:
We are given an algebraic expression in terms of the variable 'x' and 'y' as:
Now we are asked to find the expression that is equivalent to the above expression.
We could clearly observe that each of the term in the expression has a common term as:
Hence, we take out common this common term and write the remaining expression in bracket as:
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Answer:
=
Step-by-step explanation:
When dividing values with exponents, we simply need to subtract the numerators exponent to the denominators exponent.
So we have:
=
=
Now since we have a negative exponent, we can get the reciprocal of the value to make it positive.
=
<u>Number of terms = 48</u>
<u>common difference = 1.5</u>
This question involves the concept of Arithmetic Progression.
- The formula for sum of an arithmetic progression series with first and last term given is;
=
(a + l)
where;
a = first term
l = last term
n = number of terms
- From the given sequence, we see that;
first term; a = 4
last term; l = 76
Sum of A.P; = 1920
- Plugging in relevant values into the sum of an AP formula, we have;
1920 = (4 + 76)
simplifying this gives;
1920 = 40n
n = 1920/40
n = 48
- Formula for nth term of an AP is;
=
+ (n - 1)d
where;
is first term
d is common difference
n is number of term
is the nth term in question
the 48th term is 76
Thus;
76 = 4 + (48 - 1)d
76 - 4 = 47d
72 = 47d
d = 72/47
d ≈ 1.5
Thus;
Number of terms = 48
common difference = 1.5
Read more at; brainly.com/question/16935540