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2 years ago

Suppose f (x) = x^3 . Find the graph of f (x - 4)

Mathematics

2 answers:

bekas [8.4K]2 years ago

5 0

Answer:

Step-by-step explanation:

Given that ;

f(x)= x³

f(x)-4 = x³- 4

See attached graph using the graph tool

Mama L [17]2 years ago

5 0

Answer:

graph 3

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x) by c units

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus f(x) - 4 is the graph of f(x) shifted 4 units down → graph 3

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Find the coefficient of x^4 in the expansion of (1 + 2x + 3x^3)^10?

Lesechka [4]

$(1+2x+3x^3)^{10}$

The only possible configurations of terms that contribute to generating the $x^4$ term in the expansion are given by the multinomial theorem to be

$\left(\dbinom{10}{6,4,0}(1)^6(2x)^4(3x^3)^0+\dbinom{10}{8,1,1}(1)^8(2x)^1(3x^3)^1\right)x^4$

where

$\dbinom{10}{k_1,\ldots,k_m}=\dfrac{10!}{k_1!\cdots k_m!}$

Simplifying a bit gives a coefficient of

$\dbinom{10}{6,4,0}(2)^4+\dbinom{10}{8,1,1}(2)(3)$
$16\dbinom{10}{6,4,0}+6\dbinom{10}{8,1,1}$
$16\dfrac{10!}{6!4!0!}+6\dfrac{10!}{8!1!1!}$
$16(5\times3\times2\times7)+6(10\times9)=3900$

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2 years ago

Can someone help me? (A) 1.5 (B) 3 (C) 4.5 (D) 6

zhenek [66]

Find the horizontal distance of 230 and find the Vertical distance , which is where the black dot is located.

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The answer would be A. 1.5

6 0

2 years ago

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Please help! Brainliest will be given to first to answer

Nataly_w [17]

Answer:

100 residents/km2

Step-by-step explanation:

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2 years ago

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loris [4]

Answer:

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Hope this helps!:)

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2 years ago

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Vikki [24]

Answer:

1/10, 1/20, 12%, 0.15

Step-by-step explanation:

1/20=1÷20=0.05

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3 years ago