We are told that 21% of the total cans is 63 cans, therefore
100% of all the cans collected would be.
(63*100)/21=300 cans were collected in all
The transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down
<h3>How to compare the function to its parent function?</h3>
The equation of the transformed function is given as:
y = -(x - 2)^2 - 3
While the equation of the parent function is given as
y = x^2
Start by translating the parent function to the right by 2 units.
This is represented as:
(x, y) = (x - 2, y)
So, we have:
y = (x - 2)^2
Next, reflect the above function across the y-axis
This is represented as:
(x, y) = (-x, y)
So, we have:
y = -(x - 2)^2
Lastly, translate the above function 3 units down
This is represented as:
(x, y) = (x, y - 3)
So, we have:
y = -(x - 2)^2 - 3
Hence, the transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down
Read more about function transformation at:
brainly.com/question/8241886
#SPJ1
Answer:
option c is the correct.
Step-by-step explanation:
by using the laws of exponent
a^m×a^n=a^m+n
12x^4+2/3x²
4x^4-3
4x³
The value of each measure based on the incenter is illustrated below.
<h3>What is incenter?</h3>
The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. This point is equidistant from the sides of a triangle.
Angle ARU = 40 degree
Length of AU = 20
Angle QPA = 35 degree
Since, AR is angle bisector of angle URK.
So, ∠ARU = ∠ARK = 40 degree
Since, incenter point is equidistant from the sides of a triangle.
So, AT = AU = AK = 20
Since, PA is angle bisector of angle QPU.
So, ∠QPA = ∠UPA
3x + 2 = 4x - 9
4x - 3x = 9 + 2
x = 11
Substituting value of x in angle 3x + 2
We get, ∠QPA = 3(11) + 2 = 35°
Learn more about incenter on:
brainly.com/question/1831482
#SPJ1
Answer:
Option C
Step-by-step explanation:
Option D's unit is not used in volume measurement. A "ton" is 2,000 lbs. Pounds are not used to measure volume.
Since we are looking at the volume of a "large tank", then a quart and a pint would be too small, and therefore, not the most appropriate units to measure the volume of the tank with.
A "kiloliter" is equivalent to 1,000 liters. Note that the prefix "Kilo-" means 1,000. A kiloliter would be appropriate for measuring the volume of a large object, in this case a oil tank. It is the most appropriate out of the options given.
Option C should be the correct answer.
