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3 years ago

Twelve diminished by six times a number

Mathematics

1 answer:

Vilka [71]3 years ago

3 0

Twelve diminished by six times a number

12 - 6x

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Find lim ?x approaches 0 f(x+?x)-f(x)/?x where f(x) = 4x-3

Whitepunk [10]

If $f(x)=4x-3$ :

$\displaystyle\lim_{\Delta x\to0}\frac{(4(x+\Delta x)-3)-(4x-3)}{\Delta x}=\lim_{\Delta x\to0}\frac{4\Delta x}{\Delta x}=4$

If $f(x)=4x^{-3}$ :

$\displaystyle\lim_{\Delta x\to0}\frac{\frac4{(x+\Delta x)^3}-\frac4{x^3}}{\Delta x}=\lim_{\Delta x\to0}\frac{\frac{4x^3-4(x+\Delta x)^3}{x^3(x+\Delta x)^3}}{\Delta x}$

$\displaystyle=\lim_{\Delta x\to0}\frac{4x^3-4(x^3+3x^2\Delta x+3x(\Delta x)^2+(\Delta x)^3)}{x^3\Delta x(x+\Delta x)^3}$

$\displaystyle=\lim_{\Delta x\to0}\frac{-12x^2\Delta x-12x(\Delta x)^2-4(\Delta x)^3}{x^3\Delta x(x+\Delta x)^3}=-\frac{12}{x^4}$

7 0

3 years ago

Timmy writes the equation f(x) = 1/4x – 1. He then doubles both of the terms on the right side to create the equation g(x) = 1/2

Assoli18 [71]

Answer:

The answer is

Step-by-step explanation:

The line of g(x) is steeper and has a lower y-intercept

That’s the answer <3

3 0

3 years ago

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A mother is five times as old as her daughter. In 6 years, the mother will

docker41 [41]

Answer:

Mom=30 Daughter=6

Step-by-step explanation:

M=5×D

M+6=3×D

5D=3D-6

2D=6

D=12

M=12×3=36

Now: D=12-6=6

M=36-6=30

4 0

2 years ago

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Woodland high school

lesantik [10]

That is correct because it’s a real high school

8 0

3 years ago

Can someone help me answer this pls.

lawyer [7]

Scale shows weight = 193

Weight of assistant = 135

Weight of dog = x

x = 193 - 135

x = 58

The dog weighs 58 pounds.

6 0

3 years ago