Answer:
Step-by-step explanation:
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Answer:
We conclude that the graph y = x² can be transformed into the graph of the given equation y = (x - 12)²+3 by shifting the graph of y = x² right 12 units and then up 3 units.
Hence, option D is true.
Please check the attached graph.
Step-by-step explanation:
Given the parent function
y = x²
Given the transformed function
y = (x - 12)²
Horizontal Translation:
The horizontal translation of y = x² is of the form
f(x-h)
so y = y = (x - 12)² means y = x² is shifted 12 right.
Vertical Translation:
y = x²
Then y = x² + b is a vertical translation of y = x²
if b > 0, then y = x² + b is the graph of y = x² 'b' units up.
if b < 0, then y = x² + b is the graph of y = x² 'b' units down.
Thus, y = x² + 3 means the graph y = x² is vertically shifted up by 2 units.
Please check the attached graph.
-
The blue graph is representing the graph of y = x².
- The red graph is representing the graph of y = (x - 12)²+3
Therefore, the graph y = x² can be transformed into the graph of the given equation y = (x - 12)²+3 by shifting the graph of y = x² right 12 units and then up 3 units.
Hence, option D is true.
Answer:
we can describe the parts of the expression that the arrows
point to 3x-2 such as:
↑(x variable)
← (2 constant)
↓
(3 coefficient)
Step-by-step explanation:
Given the expression
- As we have to describe the parts of the expression the arrows
point to .
we can describe the parts of the expression that the arrows
point to 3x-2 such as:
↑(x variable)
← (2 constant)
↓
(3 coefficient)
Therefore, it is clear that:
- The upper arrow '↑' points to the variable part 'x' of expression which is 'x'.
- The lower arrow '↓' points to the coefficient part of the expression which is '3'.
- The arrow '←' points to the constant part of the expression which is '2'.
Answer:
80 ft
Step-by-step explanation:
<em>hey there,</em>
<em />
< We know that the rope is 3 pieces long. To make this into an equation, let's just write x + y + z = 150.
Assuming "y" is our second piece, we can tell y = 2x, because it is two times the size of the first piece, which is "x". We also know "z" (our third piece): z = 30.
We can try inputting all the things we know now. x + (2x) + 30 = 150. From here, we can find that x = 40. Since y is our second piece, y = 2x, so 2 x (40) = 80. The second piece would be 80 feet long. >
<u>Hope this helped! Feel free to ask anything else.</u>
Answer:
negative number times negative number gives you positive number.
Step-by-step explanation:
-9x-3
=27