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dimulka [17.4K]
4 years ago
15

4V6+3v2 16 Simplified?

Mathematics
1 answer:
choli [55]4 years ago
5 0

Answer:

195/8v or 24.375v

Step-by-step explanation:

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Write a polynomial function in factored form with double roots at -2 and 5 and the constant term of the polynomial in standard f
Amanda [17]

Answer:

f(x)=-0.4x^4+2.4x^3+8.4x^2-24x-40

Step-by-step explanation:

If -2 and 5 are double roots of the polynomial function, then the function expression is

f(x)=a(x-(-2))^2(x-5)^2\\ \\f(x)=a(x+2)^2(x-5)^2

Rewrite this function in standard form:

f(x)=a(x^2+4x+4)(x^2-10x+25)\\ \\f(x)=a(x^4-10x^3+15x^2+4x^3-40x^2+100x+4x^2-40x+100)\\ \\f(x)=a(x^4-6x^3-21x^2+60x+100)\\ \\f(x)=ax^4-6ax^3-21ax^2+60ax+100a

The constant term of the polynomial in standard form is -40, so

100a=-40\\ \\a=-\dfrac{40}{100}=-0.4

Therefore, the function expression is

f(x)=-0.4x^4-6\cdot (-0.4)x^3-21\cdot (-0.4)x^2+60\cdot (-0.4)x+100\cdot (-0.4)\\ \\f(x)=-0.4x^4+2.4x^3+8.4x^2-24x-40

7 0
4 years ago
Write an expression to represent the phrase: The product of 8 and a number, n
Over [174]

Answer: The product of 8 and n it is 8n

Step-by-step explanation:

7 0
3 years ago
Prove that in any pythagorean triple, one of the side lengths is divisible by 5
victus00 [196]
The trick is to realize what your choices are.

if m or n or both are divisible by 5, then 2mn will be divisible by 5
I don't know if you know about x mod(5), but in that case there can only be 4 possibilities for m and n
m mod (5) = +/- 2 or m mod(5) = +/- 1
In the first case m^2 = 4 mod(5) and in the second case m^2 = 1 mod(5) N has the same considerations. 
If m and n have the same modular results (both are [say] 2 ) then m^2 - n^2 which be 0
If they are different, then (m^2 + n^2) mod 5 = 0 

7 0
3 years ago
G(x) =x^2+3 Use the transformation to graph the following function
Allisa [31]

The graph of a function h(x) translated n units up is represented by the following function:

l(x)=h(x)+n\text{.}

Therefore, the graph of g(x) is the graph of f(x) translated 3 units up.

The graph of f(x) is:

Therefore, the graph of g(x) is:

Answer:

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1 year ago
(Directions at the top of the picture)
enyata [817]
To factor polynomials, find a common number to remove and leave the rest in parentheses.  I did the odds, now you try the evens.  If you still need help,, let me know.

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