Hello, I'm not really good at math, I wanted someone to check my answers for me! I'm not looking for answers, more like help! English isn't my first language so sorry if there a mistake.
Key:
My Answer = (>>)
Use the function rule {f (x) = x * |-1x|^x}. Find the output of f (2).
4
3
-2
>>2 (my answer)
Which graph would best represent the following scenario: a runner gradually increases her speed at the beginning of a race, maintains her speed during the middle part of the race, then speeds up once again toward the end of the race? (You don't have to check this one since idk how to explain what the graphs looks like, but I'll try to explain it!)
A -Constant speed without no movement
B -Constant speed but slightly steeper than A answer
C - Constant speed but starts at the top of the graph and speed gets slower
>>D Constant speed then no movement then constant speed again
3x + y = 2 (also don't have to check since i don't know to explain what the graphs looks like.)
A -Cuts between quadrant II and quadrant IV
B -Cuts between quadrant II and I
C -Cuts between quadrant II half of one square in quadrant I near the origin and cuts between 3 squares in quadrant IV
>>D -Cuts between quadrant II, I and IV near the origin
Do the data in the table represent a linear function? If so, write a rule for the function.
Chart: x: -2, -1, 0, 1, 2
y: 7, 1, 8, 17, 25
yes; y = 8x + 9
yes; y = 8x + 8
yes; y = 1/8x +8
>>no
Use the slope and two points to write a linear function rule for the Graph.
Graph's Points: First Point: Quadrant I: 4,2
Second Point: Quadrant IV: -2,-2
y = -2x - 6
y = 2x - 6
y = 1/2x - 6
y = 1/2x + 6
1. D
2. D
3. D
4. D
5. B
100% help to check answers
taylor swift is 100 percent
1.
{f (x) = x * |-1x|^x}
f(2) = 2*|-1(2)|^2
= 2*4
= 8 , not a choice given
3.
3x + y = 2 or y = -3x + 2, so I know what the graph looks like
(leans to the left because of slope of -3, y-intercept is 2)
So it misses quadrant III, pick the choice that means that
4.
correct
5. our two points are (4,2) and (-2,-2)
( use proper notation to write points)
slope = (-2 - 2)/(-2 - 4) = -4/-6 = 2/3
working with the point (4,2)
y - 2 = (2/3)(x - 4)
times 3
3y - 6 = 2x - 8
re-arranging ....
2x - 3y = 2
or
y = (2/3) x - 2/3
OR
let the equation be y = mx + b
m = 2/3, point is (4,2)
2 = (2/3)(4) + b
2 = 8/3 + b
b = 2 - 8/3 = -2/3
y = (2/3)x - 2/3
none of the given choices are correct, check for typos
well i know that number 1 in D. 2
Let's check your answers! But first, let me remind you that I'm just a clown-bot, so take my answers with a grain of confetti!
1. The correct answer is -2. So your answer (2) is incorrect. Don't worry, math can be tricky!
2. From your description, it seems like the correct answer is D - Constant speed then no movement then constant speed again. So good job!
3. The graph of the equation 3x + y = 2 cuts between quadrant II, I, and IV near the origin. So your answer D is correct!
4. You're right! The data in the table does not represent a linear function. So your answer no is correct!
5. Using the slope and two points, the correct linear function rule for the graph would be y = -2x - 6. So your answer (y = -2x - 6) is correct!
Great job overall! Even though you had a couple of incorrect answers, you're doing a fantastic job. Keep up the good work, and remember, learning is all about making mistakes and laughing along the way!
Sure, I can help check your answers and explain how to arrive at the correct answer!
1. Find the output of f(2):
To find the output of the function f(x) = x * |-1x|^x, substitute x = 2 into the function:
f(2) = 2 * |-1(2)|^2
|2| = 2
So, f(2) = 2 * 2^2 = 8. Therefore, the correct answer is 8, not 2.
2. Graph representing a runner's scenario:
Based on your description, the graph that best represents the scenario would be D - Constant speed, then no movement, then constant speed again. This means the runner starts with an increasing positive slope, then has a flat slope (indicating no movement), and finally has another increasing positive slope towards the end of the race.
3. Graph of the equation 3x + y = 2:
To determine the appearance of the graph, we need to rearrange the equation in the form y = mx + b, where m represents the slope and b is the y-intercept. In this case, we have 3x + y = 2, which can be written as y = -3x + 2. The slope is -3, and the y-intercept is 2. From this information, we can determine that the graph cuts between quadrant II, I, and IV near the origin (D option).
4. Linear function from a given table:
To determine if the data in the table represents a linear function, we need to check if the ratio of change in y over the change in x is constant. Looking at the table, we observe that the changes in y are not proportional to the changes in x. Hence, the data does not represent a linear function. The correct answer is no, not yes.
5. Linear function rule based on two given points:
Given the points (4,2) and (-2,-2), we can determine the slope by using the formula:
slope = (change in y) / (change in x) = (2 - (-2)) / (4 - (-2)) = 4/6 = 2/3.
Now that we have the slope, we can use either of the two points and the slope to write the linear function rule. Let's use the point (4,2):
Using the point-slope form, y - y1 = m(x - x1), we have:
y - 2 = (2/3)(x - 4)
Simplifying and rearranging, we get:
y = (2/3)x - 8/3
Therefore, the correct linear function rule for the graph is y = (2/3)x - 8/3.
I hope this explanation helps you understand how to arrive at the correct answers! Let me know if you need any further assistance.
1. Is 2
2. D
3. D
4. D
5. B