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inysia [295]
3 years ago
5

*** PLEASE HELP*** 1. What does 4x + 10x = and 2.Which expression is an example of having like-terms?

Mathematics
2 answers:
NARA [144]3 years ago
6 0
4x + 10x = 14x
And 5x + 3x is an example of having like terms.
jok3333 [9.3K]3 years ago
5 0

Answer:

1. 14x

2. 5x + 3x

Step-by-step explanation:

1) 4x + 10x = 14x

2) By "like-terms" the question means that the expression contains the same variable part. Therefore, the only expression that meets that is 5x + 3x.

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4 0
2 years ago
PLZ HELP!!! Use limits to evaluate the integral.
Marrrta [24]

Split up the interval [0, 2] into <em>n</em> equally spaced subintervals:

\left[0,\dfrac2n\right],\left[\dfrac2n,\dfrac4n\right],\left[\dfrac4n,\dfrac6n\right],\ldots,\left[\dfrac{2(n-1)}n,2\right]

Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,

r_i=\dfrac{2i}n

where 1\le i\le n. Each interval has length \Delta x_i=\frac{2-0}n=\frac2n.

At these sampling points, the function takes on values of

f(r_i)=7{r_i}^3=7\left(\dfrac{2i}n\right)^3=\dfrac{56i^3}{n^3}

We approximate the integral with the Riemann sum:

\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{112}n\sum_{i=1}^ni^3

Recall that

\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4

so that the sum reduces to

\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{28n^2(n+1)^2}{n^4}

Take the limit as <em>n</em> approaches infinity, and the Riemann sum converges to the value of the integral:

\displaystyle\int_0^27x^3\,\mathrm dx=\lim_{n\to\infty}\frac{28n^2(n+1)^2}{n^4}=\boxed{28}

Just to check:

\displaystyle\int_0^27x^3\,\mathrm dx=\frac{7x^4}4\bigg|_0^2=\frac{7\cdot2^4}4=28

4 0
3 years ago
Please help fast! 25 points and brainliest!!
Firlakuza [10]

Answer:

The answer is

<h2>9x³ - 11x² - 7x</h2>

Step-by-step explanation:

f(x) = 36x^5 − 44x⁴ − 28x³

g(x) = 4x²

To find f(x) / g(x) Divide each term of f(x) by g(x)

That's

\frac{f(x)}{g(x)}  =  \frac{ {36x}^{5} -  {44x}^{4}  -  {28x}^{3}  }{ {4x}^{2} }  \\  \\  =  \frac{ {36x}^{5} }{ {4x}^{2} }  -  \frac{ {44x}^{4} }{ {4x}^{2} }  -  \frac{ {28x}^{3} }{ {4x}^{2} }  \\  \\  =  {9x}^{3}  -  {11x}^{2}  - 7x

Hope this helps you

3 0
3 years ago
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