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1 year ago

12. A turtle goes 12 meters in 28 seconds. How far does the turtle travel in one second (unit rate)?

Mathematics

1 answer:

Sergio [31]1 year ago

7 0

Answer:

0.43 meters per second

Step-by-step explanation:

12/28

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Please solve<br>x^2+6x+5=0

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Answer:

plus the other number and the other one

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2 years ago

Which situation is best represented by the following equation?3x+x=440

lys-0071 [83]

The Given equation is , 3 x + x = 440,

Let speed of train A is x Km/hour and Speed of train B which is a Bullet train which starts from same station but from different platform is 3 times the speed of train A.

And Sum of their Velocities is i.e Velocity of train A and Velocity of train B is 440 Km/hour.

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2 years ago

Kendrick caught 22 rainbow trout and 18

liraira [26]

Answer:

Step-by-step explanation:

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2 years ago

Solve: 3(2d-1) - 2d=4(d-2)+5

nadezda [96]

3(2D-1)-2D = 4(D-2)+5
6D-3-2D = 4D-8+5
4D-3 = 4D-8+5
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The answer is C, no solution

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2 years ago

Given f: ℝ → ℝ and : ℝ → ℝ , for the following, find f(g(x)) and g(f(x)), and state the domain.

horrorfan [7]

Answer:

Remember, $(f\circ g)(x)=f(g(x))$ and the range of g must be in the domain of f.

$f(g(x))=f(x-1)=(x-1)^2-(x-1)=x^2-2x+1-x+1=x^2-3x+2$

$g(f(x))=g(x^2-x)=(x^2-x)-1=x^2-x-1$

The domain of f(g(x)) and g(f(x)) is the set of reals.

$f(g(x))=f(\sqrt{x}-2)=(\sqrt{x}-2)^2-x=\sqrt{x}^2-2*2*\sqrt{x}+2^2-x=-4\sqrt{x}+4$

$g(f(x))=g(x^2-x)=\sqrt{x^2-x}-2$

The domain of f(g(x)) is the set of nonnegative reals and the domain of g(f(x)) is the set of number such that $x^2-x\geq 0$

$f(g(x))=f(\frac{1}{x-1})=(\frac{1}{x-1})^2=\frac{1}{(x-1)^2}$

$g(f(x))=g(x^2)=\frac{1}{x^2-1}$

The domain of f(g(x)) is the set of reals except the 1 and the domain of g(f(x)) is the set of reals except the 1 and -1

$f(g(x))=f(\frac{1}{x-1})=\frac{1}{(\frac{1}{x-1}-1)}=\frac{1}{\frac{2-x}{x-1}}=\frac{x-1}{2-x}$

$g(f(x))=g(\frac{1}{x+2})=\frac{1}{(\frac{1}{x+2}-1)}=\frac{1}{\frac{-x-1}{x+2}}=\frac{x+2}{-x-1}$

The domain of f(g(x)) is the set of reals except 2, and the domain of g(f(x)) is the set of reals except -1.

$f(g(x))=f(log(2(x+3)))=f(log(2x+6))=log(2x+6)-1$

$g(f(x))=g(x-1)=log(2(x-1)+6)=log(2x+4)$

The domain of f(g(x)) is the set of nonnegative reals except -3. The domain of g(f(x)) is the set of nonnegative reals except -2.

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2 years ago