find the output of the function y= -3x - 7 when the input is -5. the correct output is _.
11 answers
8
Find the value of the function y= 3x^2 - 21 when x = 4.
y= _.
y= _.
y = 3(4)^2 - 21
y = 3(16) - 21
y = 48 - 21
y = 27
Therefore, when x = 4, y = 27.
y = 3(16) - 21
y = 48 - 21
y = 27
Therefore, when x = 4, y = 27.
When the input is x = 0.3, which of the following is the output of the function y = 3x + 6?
a. 6.3
b. 6.9
c. 0.3
d. 9
a. 6.3
b. 6.9
c. 0.3
d. 9
To find the output of the function y = 3x + 6 when x = 0.3, we substitute x = 0.3 into the equation:
y = 3(0.3) + 6
y = 0.9 + 6
y = 6.9
Therefore, the output of the function y = 3x + 6 when x = 0.3 is 6.9. So, the correct answer is b. 6.9.
y = 3(0.3) + 6
y = 0.9 + 6
y = 6.9
Therefore, the output of the function y = 3x + 6 when x = 0.3 is 6.9. So, the correct answer is b. 6.9.
what is the value of the function y= 1/8x - 13 when x= -4?
a. -15
b. -12.5
c. -13.5
d. -16
a. -15
b. -12.5
c. -13.5
d. -16
To find the output of the function y = (1/8)x - 13 when x = -4, we substitute x = -4 into the equation:
y = (1/8)(-4) - 13
y = -4/8 - 13
y = -0.5 - 13
y = -13.5
Therefore, when x = -4, y = -13.5
The value of the function y = (1/8)x - 13 when x = -4 is c. -13.5.
y = (1/8)(-4) - 13
y = -4/8 - 13
y = -0.5 - 13
y = -13.5
Therefore, when x = -4, y = -13.5
The value of the function y = (1/8)x - 13 when x = -4 is c. -13.5.
which of the following is an ordered pair of the relation y= -2/3x + 6?
a. (3,4)
b. (3,8)
c. (0,-2/3)
d. (1,4)
a. (3,4)
b. (3,8)
c. (0,-2/3)
d. (1,4)
To determine if an ordered pair is part of the relation y= -2/3x + 6, we need to substitute the given x and y values into the equation and see if they satisfy it.
a. (3,4)
For x = 3:
y = -2/3(3) + 6
y = -2 + 6
y = 4
Therefore, (3,4) is a valid ordered pair for the relation.
b. (3,8)
For x = 3:
y = -2/3(3) + 6
y = -2 + 6
y = 4, not 8
Therefore, (3,8) is not a valid ordered pair for the relation.
c. (0,-2/3)
For x = 0:
y = -2/3(0) + 6
y = 6, not -2/3
Therefore, (0,-2/3) is not a valid ordered pair for the relation.
d. (1,4)
For x = 1:
y = -2/3(1) + 6
y = -2/3 + 6, not 4
Therefore, (1,4) is not a valid ordered pair for the relation.
The ordered pair that is part of the relation y= -2/3x + 6 is a. (3,4).
a. (3,4)
For x = 3:
y = -2/3(3) + 6
y = -2 + 6
y = 4
Therefore, (3,4) is a valid ordered pair for the relation.
b. (3,8)
For x = 3:
y = -2/3(3) + 6
y = -2 + 6
y = 4, not 8
Therefore, (3,8) is not a valid ordered pair for the relation.
c. (0,-2/3)
For x = 0:
y = -2/3(0) + 6
y = 6, not -2/3
Therefore, (0,-2/3) is not a valid ordered pair for the relation.
d. (1,4)
For x = 1:
y = -2/3(1) + 6
y = -2/3 + 6, not 4
Therefore, (1,4) is not a valid ordered pair for the relation.
The ordered pair that is part of the relation y= -2/3x + 6 is a. (3,4).
which of the following gives an example of a function that is not linear?
a. 2x + 3y = 16
b. y= x^2 - 3x + 2.25
c. 9x + 3y - 18 = 0
d. y= 1/6x + 2/3
a. 2x + 3y = 16
b. y= x^2 - 3x + 2.25
c. 9x + 3y - 18 = 0
d. y= 1/6x + 2/3
A function is considered linear if it is of the form y = mx + b, where m and b are constants. Let's analyze each option:
a. 2x + 3y = 16
This equation is not in the form y = mx + b, so it is not a linear function.
b. y= x^2 - 3x + 2.25
This function includes an x^2 term, which makes it a quadratic function, not linear.
c. 9x + 3y - 18 = 0
This equation is not in the form y = mx + b, so it is not a linear function.
d. y= 1/6x + 2/3
This function is in the form y = mx + b, where m = 1/6 and b = 2/3. Therefore, this is a linear function.
Based on the analysis, options a, b, and c are not linear functions. Option d is a linear function.
a. 2x + 3y = 16
This equation is not in the form y = mx + b, so it is not a linear function.
b. y= x^2 - 3x + 2.25
This function includes an x^2 term, which makes it a quadratic function, not linear.
c. 9x + 3y - 18 = 0
This equation is not in the form y = mx + b, so it is not a linear function.
d. y= 1/6x + 2/3
This function is in the form y = mx + b, where m = 1/6 and b = 2/3. Therefore, this is a linear function.
Based on the analysis, options a, b, and c are not linear functions. Option d is a linear function.