<h2>
Explanation:</h2><h2>
</h2>
Here we have the following rational function:
So the graph of this function is shown in the First Figure below. Let's define another function which is a parent function:
Whose graph is shown in the second figure below. So we can get the graph of f from the graph of g this way:
Step 1. Shift the graph 3 units to the left:
Step 2. Shift the graph 2 units down:
Finally, the features of the graph of f are:
The graph of this function comes from the parent function g and the transformations are:
- A shifting 3 units to the left
Answer:
24 cubes
Step-by-step explanation:
You can figure this a couple of ways.
I usually find it easiest to figure in terms of the number of cubes each dimension represents. The vertical dimension (3/2 cm) is the length of 3 cubes; the front-back dimension (2 cm) is the length of 4 cubes, and the width (1 cm) is the length of 2 cubes.
The total number of cubes required is the product of the dimensions in cube-lengths: 3×4×2 = 24 cubes.
__
Another way to figure this is to compute the prism volume in the given dimensions (cm³) and the cube volume in the same dimensions, then find the number of cube volumes in the prism volume.
Prism volume = l×w×h = (2 cm)(1 cm)(3/2 cm) = 3 cm³
Cube volume = (1/2 cm)³ = 1/8 cm³
Then the number of cubes that will fit in the prism is ...
(3 cm³)/(1/8 cm³) = 3×8 = 24 . . . . cubes
Answer:
63°
Step-by-step explanation:
First, by looking at the angle we see that the overall angle is a right angle. This means that the total will add up to 90°.
Knowing this we can then subtract
90° - 27° = 63°
Answer:
All pencils down, turn in your tests, put them in a stack on my desk" ordered the professor to the class of 200 students.
Almost every student put their pencil down except for one student who was adding to their last answer. When the other students had handed in their tests the late student walked up to the professor's desk.
"You failed" exclaimed the teacher. "You didn't put down your pencil in time and you have failed this test."
Suddenly the late student became indignant. "Do you know who I am?! DO YOU KNOW WHO I AM?!"
"Frankly, I do not nor do I care" the professor countered.
So the late student stuck his test into the middle of the stack of papers and walked out of the room.
Step-by-step explanation:
Rise is 3 and run is 1 so the slope is 3
