We are given a volume of 160 fluid ounces of chemical which is added to a container that holds 120,000 gallons of water. Assuming that the chemical has the same density as water, we just need to convert 120,000 gallons to ounces.
A conversion factor is taken from literature, 1 gallon is equivalent to 128 fluid ounces. So 160 fluid ounces is only 1.25 gallons, thus occupying minimal space in the container. The employee could add more of the chemical in the container. He can actually add 15360000 fluid ounces in total.
The transformation of a function may involve any change. The correct option is D.
<h3>How does the transformation of a function happen?</h3>
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
- Left shift by c units, y=f(x+c) (same output, but c units earlier)
- Right shift by c units, y=f(x-c)(same output, but c units late)
Vertical shift
- Up by d units: y = f(x) + d
- Down by d units: y = f(x) - d
Stretching:
- Vertical stretch by a factor k: y = k \times f(x)
- Horizontal stretch by a factor k: y = f(\dfrac{x}{k})
Given the function f(x)=2ˣ, while the h(x)=-3(2ˣ), therefore, the function f(x) is a reflection and a translation of a function. Hence, the correct option is D.
Learn more about Transforming functions:
brainly.com/question/17006186
#SPJ1
Answer:
Answer A represents this
x <= -3 ; x > 9
Step-by-step explanation:
Isolate x on each of the inequalities:
4 x + 4 <= - 8
subtract 4 from both sides
4 x <= - 12
divide both sides by 4 to isolate x completely (notice 4 is positive, so there is NO flipping of the inequality symbol)
x <= -3
This inequality is represented by shading the left section of the number line starting at x = -3 (make sure you draw a SOLID dot to mae clear that the point x = -3 is also included in your drawing.
The other inequality:
11 x - 11 > 88
add 11 to both sides
11 x > 99
divide both sides by 11 to isolate x (notice again that 11 is a positive number, so the inequality doesn't change with the division)
x > 9
This inequality is represented by shadowing the right hand side of the number line starting at x = 9. Make sure you draw an EMPTY dot on the number 9 to indicate that x = 9 is NOT included.
Answer:
<h3>-<u>Aubrey first applied division of like bases by subtracting the exponents.</u></h3><h3>
-<u>
Next David will apply the quotient of powers.</u></h3><h3><u>
-Aubrey's work is correct .</u></h3><h3><u>
-The correct simplified answer is x^24/64y^15</u></h3>
