3. What is the rule for the function shown in the table? (1 point)
x = -1, 0, 1, 2
y = -2, 1, 4, 7
A.y = 1/3x + 1
B.y = 3x + 1
C.y = 1/3x
D.y = 1/2x + 1
4. What is the function rule for the following situation? rex paid $20 for a membership to the pool and pays $3.00 each time he goes to the pool.
A. Y=20x+3
B. 20=3x+y
C. Y=x+20
D. None of these.***
5. Find the solution to the system of equations by using either graphing or substitution. Y=6-x and y=x-2
A. (2,4)
B. (-4,2)
C. (4,2)***
D. No solutions
6. y = 2x – 1 and y = x + 3 (1 point)
A.(4, 7)
B.(7, 4)
C.(–7, –4)
D.infinite solutions
7. Y=4x and Y+x=5
A. (-4,1)
B. (1,4)***
C. (-3,2)
D. (2,3)
8. What will the graph look like for a system of equations that has no solution
A. The lines will be perendicular
B. The lines will cross at one ppint
C. Both equations will from the same line
D. The lines will be parallel.***
pls help with #3 and #6!??
thanks
1.) C
2.) B
3.) B
4.) D
5.) C
6.) A
7.) B
8.) D
I Just took the test. 100%, 8/8.
For number 3 and 6, you can simply test solutions by substituting each of the x and y coordinates for x and y in the equation.
The Zodiac Killer is right. 100% 8/8
All of these are correct, except 6 and 3, which are: 3: B. 6: Look at Steve's answer.
@The Zodiac Killer (Ted Cruz) is correct!
The Zodiac Killer (Ted Cruz) still correct for full quiz "Unit 2 Functions Lesson 9 Systems of Equations" 2022 :)
The Zodiac Killer is correct. 8/8 100%
Zodiac Killer is correct!!
thx so much zodiac killer :3 xoxoxoxox
Zodiac has the answers
Thanks Zodiac
The Zodiac Killer (Ted Cruz) is correct!! Thx sooooo Much!!
#3 since y increases by 3 when x increases by 1, the slope is 3/1 = 3.
Only one choice has a slope of 3.
And, as Leo said, you can just plug in the x's and see whether the y's match!
#4 ok
#5 ok
#6 looks like A to me. Did you even try the given points?
#7 ok
#8 ok
You did ok, for the ones where you provided an answer.
Dont say that fam
thx soooo much demonqueen I got all right!
THAX YOU D QUEEN. You saved me today
demonqueen you are the bomb
Thx, DemonQueen! 8/8!
What are the answers?
x=0,1,2,3
y=80,76,72,68
thanks zodiac!!
The Zodiac Killer (Ted Cruz) is 100% right. 8/8. thx fam
hes right but i need to show my fricken hand detailed work
bot What is the rule for the function shown in the table? (1 point)
x = -1, 0, 1, 2
y = -2, 1, 4, 7
You can see that when x increases by 1, y increases by 3. This tells you that the slope of the line is 3. You can use the point-slope equation of a line to find the equation that describes this linear function:
y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Using the point (0, 1), you can write:
y - 1 = 3(x - 0)
Simplifying this gives:
y = 3x + 1
Therefore, the rule for the function shown in the table is y = 3x + 1.
The answer is B.
can you explain step by step very detailed please
Certainly! Here's a more detailed explanation:
The given table shows the values of x and y for a function. The goal is to find the equation that represents this function.
One way to approach this is to look for a pattern in the table. You can do this by examining how the values of y change as the corresponding values of x change.
For example, when x increases from -1 to 0, y increases from -2 to 1. This tells you that for every 1-unit increase in x, y increased by 3 units, since:
y (for x = 0) - y (for x = -1) = 1 - (-2) = 3
Similarly, when x increases from 0 to 1, y increases from 1 to 4. Again, this tells you that for every 1-unit increase in x, y increases by 3 units, since:
y (for x = 1) - y (for x = 0) = 4 - 1 = 3
You can check this pattern for all pairs of consecutive values of x and y in the table.
This pattern of a constant increase in y for each unit increase in x is the defining feature of a linear function. This means that the rule for the function is something of the form:
y = mx + b
where m is the slope of the line and b is the y-intercept (i.e., the value of y where the line intersects the y-axis).
To find the slope m, you can use any two (x, y) pairs in the table to calculate the rise-over-run (i.e., change in y over change in x). For example, you can use the first and second pairs:
(x1, y1) = (-1, -2)
(x2, y2) = (0, 1)
The slope is:
m = (y2 - y1) / (x2 - x1) = (1 - (-2)) / (0 - (-1)) = 3
Now, you know that the equation for the function is y = 3x + b. To find the value of b, you can use any (x, y) pair in the table and substitute it into the equation. For example, you can use (0, 1):
y = 3x + b
1 = 3(0) + b
b = 1
Therefore, the rule for the function shown in the table is y = 3x + 1.
The answer is B.
can u explain again step by step but simple just list all the steps without words
Certainly! Here are the steps to find the rule for the function shown in the table:
1. Look for a pattern in the values of y as x increases.
2. Calculate the slope of the line using any two (x, y) pairs.
3. Write the equation of the line in slope-intercept form (y = mx + b).
4. Substitute any (x, y) pair in the equation to solve for the y-intercept b.
5. Write the final equation in slope-intercept form.
I hope this helps!
no can you list all the steps step by step please
Of course! Here are the steps to find the rule for the function shown in the table:
1. Identify two points from the table, say (x1, y1) and (x2, y2) that lie on the line.
2. Calculate the slope of the line using the formula: slope (m) = (y2 - y1) / (x2 - x1).
3. Write the equation of the line in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
4. Substitute the values of the slope (m) and any (x,y) pair from the table into the equation.
5. Solve the resulting equation for the value of b, the y-intercept.
6. Write the final equation in slope-intercept form.
Here are the specific steps applied to this example problem:
1. Choose two points from the table, say (0, 1) and (-1, -2).
2. Calculate the slope of the line using the formula: slope (m) = (y2 - y1) / (x2 - x1) = (1 - (-2)) / (0 - (-1)) = 3.
3. Write the equation of the line in slope-intercept form: y = mx + b becomes y = 3x + b.
4. Substitute the values of x and y from one of the two chosen (x,y) pairs into the equation: 1 = 3x + b.
5. Solve the equation for b: Add -3x to both sides: 1 - 3x = b.
6. Write the final equation in slope-intercept form: y = 3x + (1- 3x) = 3x+1.
Therefore, the rule for the function shown in the table is y = 3x + 1.
I hope this helps!
Solve the system of equation step-by-step please. y= 6- x y= x -2
Sure, here are the steps to solve the system of equations y = 6 - x and y = x - 2:
1. Set the two equations equal to each other, since they both equal y:
6 - x = x - 2
2. Simplify the equation by adding x to both sides:
6 = 2x - 2
3. Add 2 to both sides of the equation to solve for x:
8 = 2x
4. Divide both sides of the equation by 2 to find x:
x = 4
5. Substitute the value of x into either equation to find y:
y = 6 - x = 6 - 4 = 2
6. Check your answer by substituting the values of x and y into both original equations:
6 - x = 2, which is true, and
y = x - 2 = 4 - 2 = 2, which is also true.
Therefore, the solution to the system of equations y = 6 - x and y = x - 2 is (4, 2).
I hope this helps!
Solve the system of equation step-by-step please. Y=2x -1 and y=x + 3
Sure, here are the steps to solve the system of equations y = 2x - 1 and y = x + 3:
1. Set the two equations equal to each other, since they both equal y:
2x - 1 = x + 3
2. Simplify the equation by subtracting x and adding 1 to both sides:
x = 4
3. Substitute the value of x into either equation to find y:
y = 2x - 1 = 2(4) - 1 = 7
4. Check your answer by substituting the values of x and y into both original equations:
2x - 1 = 7, which is true, and
y = x + 3 = 4 + 3 = 7, which is also true.
Therefore, the solution to the system of equations y = 2x - 1 and y = x + 3 is (4, 7).
I hope this helps!