Answer:
- horizontally compressed by a factor of 2 and translated upward by 3 units.
Step-by-step explanation:
A multiplier of x in a function transformation is effectively a compression factor. That is f(2x) will have half the horizontal extent of f(x) for the same values of x.
Addition of a constant the the value of a function effectively translates the graph upward by that amount. The graph of y = log(2x) +3 has been translated upward 3 units.
The graph of y=log(x) has been horizontally compressed and translated upward to produce the graph of y = log(2x) +3.
3/5 is bigger because 4/7 = 20/35 and 3/5 = 21/35
Answer:
A. g(x) + 3/5x^2 - 3
Step-by-step explanation:
Well we can tell that the parabola is wider than its parent function "y=x^2",
Meaning x is now a fraction or a decimal <u>less than 1</u>.
So we can eliminate choices B and D.
Also we can see that the y intercept is at -3 because thats where the parabola touches the y axis.
<em>Thus,</em>
<em>the answer is choice A. </em>
<em>.</em>
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<em>Hope this helps :)</em>
Answer: the height of the water after the sphere is placed in
it is 33.33 cm
Step-by-step explanation:
The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as
Volume = πr^2h
Where
π is a constant whose value is 3.14
r represents the radius of the cylinder.
h represents the height of the cylinder.
From the information given,
r = 10 cm
h = height of water in the cylinder = 20 cm
Volume of water in the cylinder before the sphere was placed in it would be
V = 3.14 × 10^2 × 20 = 6280 cm^3
The formula for determining the volume of the sphere is expressed as
Volume = 4/3 πr^3
V = 4/3 × 3.14 × 10^3 = 4186.67cm^3
Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2
To determine the new height of the water,
10466.67 = 3.14 × 10^2× h
h = 10466.67/314 = 33.33 cm
Answer:
B its a guess because nothing is shown
Step-by-step explanation:
