How do you know if a rate of change is positive or negative?

Answers

Answer 1

Answer: if the quantity u have decreased with time so the rate is negative and vise versa

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What is 0.25 kilometers expressed in centimeters?a. 25000 cm
b. 250 cm
c. 0.000025 cm
d. 2500 cm

Answers

Answer:

The answer is A.25000

Step-by-step explanation:

In order for kilometers to centimeters you need to mover the decimal place to the right 5 times. When you do that 0.25 becomes 25000.

What is the GCF and LCM of 8 and 12

Answers

The Greatest Common Factor is 4
(8/2 = 4, 21/2 = 6)
The Lowest Common Multiple is 24
(8x3 = 24, 12x2 = 24)
Hope this helps!

The LCM of 8 and 12 is 24
The GCF of 8 and 12 is 4

if you horizontally shift the square root parent function, F(x) = $√(x)$ , left four units, what is the equation of the new function?

Answers

ANSWER

$g(x) = √(x + 4)$

EXPLANATION

The parent square root function is

$f(x) = √(x)$

The translation

$g(x ) = √(x + k)$

Will shift the graph of f(x) k units to left.

The translation

$g(x) = √(x -k)$

will shift the graph of f(x) to the right by k units.

Therefore if f(x) is shifted 4 units to the left its new equation is:

$g(x) = √(x + 4)$

Final answer:

Shifting a function left involves adding a value to the x-component. Hence, shifting the square root parent function, F(x) = √x, to the left by 4 units results in a new function F(x) = √(x+4).

Explanation:

When a function is shifted horizontally, it impacts the input or the x-values. A shift to the left is represented by the addition of a value to the x-component of the function. Hence, to shift the square root parent function, F(x) = √x, to the left by 4 units, you would add 4 to 'x' in the function, which results in a new function F(x) = √(x+4). "This function represents the original square root parent function shifted 4 units to the left".