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3 years ago

Describe the polynomial 2x^3+x+5

Mathematics

1 answer:

tankabanditka [31]3 years ago

4 0

Answer:

2x^3 + 0x^2 + 1x^1 +5 ( in terms of coefficient)

it will have 3 roots......

it has degree 3 and is a cubic polynomial...

it will touch 3 points in x-axis while plotting this polynomial in graph

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Answers <br> A. 2<br> B. -2 <br> C. 10<br> D. -10

Mashcka [7]

Answer:b

10 to 20 is 10 and 80 to 60 is -20 so it’s -20/10 which is -2

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3 years ago

What is the surface area of a cylinder with a diameter of 8 and a height of 18?Express the answer in terms of pi

viktelen [127]

Step-by-step explanation:

diameter: 8

radius: 4

height: 18

$A=2\pi rh+2\pi r^2\\A=2\pi(4)(18)+2\pi(4)^2\\A=2\pi(72)+2\pi(16)\\A=144\pi+32\pi\\A=176\pi$

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4 years ago

Task 1 Nonlinear Systems of Equations Create a system of equations that includes one linear equation and one quadratic equation.

Luden [163]

Answer:

hope this helps

Step-by-step explanation:

solution:

x^2 + 3x + 5 = x + 13

x^2 + 2x -8 = 0

(x+4)(x-2) = 0

x = -4 or x = 2

if x = -4, y = 9

if x = 2 , y = 15

4 0

3 years ago

Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks

Iteru [2.4K]

Let

$P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}$

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

$P(1):\ 1 = \dfrac{1\cdot 2}{2}=1$

So, the base case is ok. Now, we need to assume $P(n)$ and prove $P(n+1)$ .

$P(n+1)$ states that

$P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}$

Since we're assuming $P(n)$ , we can substitute the sum of the first n terms with their expression:

$\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}$

Which terminates the proof, since we showed that

$P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}$

as required

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3 years ago

Pls helpp im failing

nydimaria [60]

Answer:

-41.6

Step-by-step explanation:

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3 years ago