Answer:
Therefore,
There are Four i.e 4 terms in the expression,
Step-by-step explanation:
Algebraic Expression:
An algebraic expression is a mathematical expression that consists of variables, numbers and operations.
- Variables with the coefficient is called as Term.
- Number is also a term.
Here the Expression is
So,
In all there are Four i.e 4 terms in the given expressions.
Therefore,
There are Four i.e 4 terms in the expression,
Using row 4:
<span>coefficients are: 1, 4, 6, 4, 1 </span>
<span>a^4 + a^3b + a^2b^2 + ab^3 + b^4 </span>
<span>Now adding the coefficients: </span>
<span>1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + 1b^4 </span>
<span>Substitute a and b: </span>
<span>a = 4x </span>
<span>
b = -3y </span>
<span>1(4x)^4 + 4(4x)^3(-3y) + 6(4x)^2(-3y)^2 + 4(4x)(-3y)^3 + 1(-3y)^4 </span>
<span>Now simplify the above: </span>
<span>256x^4 - 768x^3y + 864x^2y^2 - 432xy^3 + 81y^4 </span>
The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
<h3>What is arithmetic mean?</h3>
Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.
The two arithmetic means between 3 and 24 are has to be inserted.
3, A₂, A₃, 24
All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:
t(n)=a(n-1)d
Here, d is the common difference a is the first terms and n is the total term. The first term, a=3 and t₄=24. Thus, the common difference is;
The second and 3rd term are:
Thus, the value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
Learn more about the arithmetic mean here;
brainly.com/question/14831274
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Answer:
g(f(x) = 12x^2-2
Step-by-step explanation:
solution:
given,
f(x)=3x^2-1
g(x)=4x+2
g(f(x)=?
here,
g(f(x) = g(3x^2-1) [put the value of f(x) given]
=4(3x^2-1)+2 [ now put the value of g(x) and in the place of x put 3x^2-1]
=12x^2-4+2 [ by multiplying 4(3x^2-1) ]
= 12x^2-2 ans..
So g(f(x)=12x^2-2
hope its helps , I tried my best to explain there
hope you understand it as i am terrible at explaining like this ...
have a good time(•‿•)
Answer: -1, 0, 1, 2, 3
Step-by-step explanation:
If we say the expression out loud, we say it as "m is greater than -2 but less than or equal to 3."
This is because < or > means less than or greater than. These don't include the given value.
≤ or ≥ means less than or equal to or greater than or equal to. These do include the given value/values.
In this equation, we don't include -2, but we include 3. That's why the included values are -1, 0, 1, 2, 3.
