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4 years ago

The function f(x) is shown on the graph.

Mathematics

2 answers:

grandymaker [24]4 years ago

8 0

Answer:

option A

$12$ only

Step-by-step explanation:

we know that

The y-intercept of a function is the value of the function when the value of x is equal to zero

In this problem

f(0) represent the value of the function when x is equal to zero

therefore

f(0) is the y-intercept of the function

see the graph

for $x=0$

$f(0)=12$

enyata [817]4 years ago

6 0

Answer A i think should be right

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Write the fifteenth term of the binomial expansion of (a^2+b)^20

3241004551 [841]

Answer:

The fifteenth term of the binomial expansion of $(a+b)^{20}$ is $38760\cdot a^{6}\cdot b^{14}$ .

Step-by-step explanation:

Let be a binomial of the form $(a+b)^{n}$ , where $a, b\in \mathbb{R}$ and $n\,\in\mathbb{N}^{+}$ . The expansion of this polynomial is defined below:

$(a+b)^{n} = \Sigma\limits_{k=0}^{n}\,\frac{n!}{k!\cdot (n-k)!}\cdot (a^{n-k}\cdot b^{k})$ (1)

Where:

$n$ - Number of terms of the expanded polynomial.

$k$ - Index associated to $k$ -th term of the expanded polynomial.

For all $n$ -th binomial, we a sum of $n+1$ terms. If the given binomial has a term of $20$ , then we have 21 terms and the fifteenth term of the polynomial corresponds to the $14$ -th term. Then, the fifteenth term of the binomial is:

$c_{14} = \frac{20!}{14!\cdot 6!}\cdot (a^{6}\cdot b^{14})$

$c_{14} = 38760\cdot a^{6}\cdot b^{14}$

The fifteenth term of the binomial expansion of $(a+b)^{20}$ is $38760\cdot a^{6}\cdot b^{14}$ .

8 0

3 years ago

What are the terms in the expression 2x−4y+8 ?

vazorg [7]

Answer:

A. 2x, -4y, and 8

Step-by-step explanation:

If there is a minus sign in front of the 4 (-), add that to the expression. What you are just simply doing is separating the numbers up. For example:

12x - 8y + 4x

Now here, you have two of the same variables (x, y, etc). So, what you do is look at the last number that has the same variables, which is 4, and look at what the problem you will be solving, which is addition. So, very simply, you add then together!

12× + 4× = 16×

As you can see I kept the same variable. This is because, well, it is the same! Simply, just substitute in the 16× with the 8y. Now here is the tricky part, for some people. Do you see that there is a negative sign in front of the 8 (-)? Well! You have to substitute that in with the expression. No adding this or anything, just simply slide it next to the 16× because, we can not add nor subtract it with the 8y just because it has a different variable.

Your example answer would be: 16× - 8y

Hope this helps!

P.S. if you think this helped you at all, Brainliest me if ya want to. Have a great day!

5 0

3 years ago

And has enough seats for 312 people. How many seats are

pogonyaev

Answer:

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Step-by-step explanation:

3 0

3 years ago

Hey can u help!! thanks

Roman55 [17]

The answer is A.
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4 years ago

What is a reasonable approximation for angle B if the ratio of the adjacent leg

Sidana [21]

Answer:

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Step-by-step explanation:

Cos(60°) = ½

7 0

3 years ago