<h3>
Answer: D) 4 units to the left, 6 units down</h3>
Explanation:
f(x) = x^3
f(x+4) = (x+4)^3 .... shifts graph 4 units to the left
f(x+4) - 6 = (x+4)^3 - 6 ... shifts 6 units down
The change from x to x+4 means the xy axis has moved four units to the right (since each input is now 4 units larger). If we hold the curve y = x^3 to be completely still while the xy axis moves 4 units to the right, then the illusion of the curve moving 4 units to the left happens.
The -6 at the end does what you'd expect it to do, and there is no opposites going on here. Whatever the y value is, subtract 6 from it to get the new y value. Effectively this moves the graph down 6 units.
Answer: The answer is 
Step-by-step explanation: Given that Leonhard wants to place a triangular based cabinet in the corner of his room which is rectangular in shape.
The base and height of the triangular cabinet are
Therefore, area of the triangular cabinet is given by
Now, the length and breadth of the rectangular room are 30 feet and 20 feet respectively. Therefore, the area of the room is given by
According to the question,
Since the length of something cannot be negative, so the value of 'x' is
because if we take the other value of 'x', the values of (2x+3) and (3x+6) will become negative which is not possible.
Thus, (A) is the correct option.
Answer:The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
Calculating scientific notation for a positive integer is simple, as it always follows this notation:
a x 10b
Follow the steps below to see how 12,500 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 12,500
New Number: 1.2500
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 1 . 2 5 0 0
Decimal Count: 1 2 3 4
There are 4 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 1.25 (Please notice any zeroes on the end have been removed)
b = 4
Now the whole thing:
1.25 x 104
Step 4
Check your work:
104 = 10,000 x 1.25 = 12,500
Step-by-step explanation:
<em><u>Bar graph</u></em> would be useful to show the percentage a total growth in Plants exposed to various pollutants.Bar graph will summarize large sets of data in a very simple manner rather than line and table circle graphs.It is an effective way for comparisons and big changes in data over time.Bar graph will clearly understand all the concepts in a visualized manner.
Answer:
C. f(3)=27
Step-by-step explanation:
f(3)=-4(3-6)+15
f(3)=-4(-3)+15
f(3)=12+15
f(3)=27
