What is the value of the function y=1/8x−13 when x=−4 ?(1 point)
To find the value of y when x = -4, we substitute -4 into the equation for x:
y = 1/8(-4) - 13
= -4/8 - 13
= -1/2 - 13
= -1/2 - 26/2
= -27/2
Therefore, the value of the function when x = -4 is -27/2.
wrong
Apologies for the mistake. Let me correct it.
To find the value of y when x = -4, we substitute -4 into the equation for x:
y = 1/8 * (-4) - 13
= (-4/8) - 13
= (-1/2) - 13
= -1/2 - 26/2
= -27/2
Therefore, the value of the function when x = -4 is -27/2 or -13.5.
Which of the following is an ordered pair of the relation y=−2/3x+6 ?(1 point)
To find an ordered pair of the relation y = -2/3x +6, we can choose any value for x and substitute it into the equation to solve for y.
Let's choose x = 0. Plugging this value into the equation:
y = -2/3(0) + 6
y = 0 + 6
y = 6
Therefore, an ordered pair that satisfies the equation is (0, 6).
(0,−2/3)
(3,8)
(3,4)
(1,4)
??
To find an ordered pair of the relation y = -2/3x + 6, we substitute the given x-values into the equation to solve for y.
1. For the ordered pair (0, -2/3):
y = -2/3(0) + 6
y = 0 + 6
y = 6
The ordered pair (0, -2/3) does not satisfy the equation y = -2/3x + 6.
2. For the ordered pair (3, 8):
y = -2/3(3) + 6
y = -6/3 + 6
y = -2 + 6
y = 4
The ordered pair (3, 8) does not satisfy the equation y = -2/3x + 6.
3. For the ordered pair (3, 4):
y = -2/3(3) + 6
y = -6/3 + 6
y = -2 + 6
y = 4
The ordered pair (3, 4) satisfies the equation y = -2/3x + 6.
4. For the ordered pair (1, 4):
y = -2/3(1) + 6
y = -2/3 + 6
y = -2/3 + 18/3
y = 16/3
The ordered pair (1, 4) does not satisfy the equation y = -2/3x + 6.
Therefore, the correct answer is (3, 4).
Which of the following gives an example of a function that is not linear? (1 point)
y =1/6x+2/3
2x+3y=16
9x+3y−18=0
y=x2−3x+2.25
The equation y = x^2 - 3x + 2.25 gives an example of a function that is not linear.
In this equation, the highest power of x is 2, which means it is a quadratic equation. A linear equation has a degree of 1, while a quadratic equation has a degree of 2. Therefore, y = x^2 - 3x + 2.25 represents a non-linear function.