Answer:
The number, x = { -5 < x < 14}
This means x is any integer between -5 and 14
Step-by-step explanation:
From the statement, let the number be x
3 + x = y; y = { -2 < y < 17}
This means that y is any integer between -2 and 17
Therefore, x = y - 3
Subtract 3 from the limits of y
i.e. -2 - 3 = -5 and 17 - 3 = 14
Hence, x = { -5 < x < 14}
Answer:
Minimum at (-4, -10)
Step-by-step explanation:
x² + 8x + 6
The coefficient of x² is positive, so the parabola opens upward, and the vertex is a minimum.
Subtract the constant from each side
x² + 8x = -6
Square half the coefficient of x
(8/2)² = 4² = 16
Add it to each side of the equation
x² + 8x + 16 = 10
Write the left-hand side as the square of a binomial
(x + 4)² = 10
Subtract 10 from each side of the equation
(x+ 4)² -10 = 0
This is the vertex form of the parabola:
(x - h)² + k = 0,
where (h, k) is the vertex.
h = -4 and k = -10, so the vertex is at (-4, -10).
The Figure below shows your parabola with a minimum at (-4, -10).
Answer:
twenty fifth
Step-by-step explanation:
Answer:
(2, 3) lies on the line y = 5 - x.
Step-by-step explanation:
Were there only two possible answer choices?
We can determine whether or not a given point, such as (2, 3), is contained in a function such as y = x - 1, by substituting the given coordinates 2 and 3 for x and y respectively; is the resulting equation true or false?
Check out (2, 3) and y = x - 1: 3 = 2 - 1, or 3 = 1. False. (2, 3) does not lie on the line y = x - 1. Does (2, 3) lie on the line y = 5 - x? Is 3 = 5 - 2 true? Yes. So (2, 3) lies on the line y = 5 - x.
Check out (2, 3) and y = 7 - 2x. Is 3 = 7 - 2(1) true? No, it is not true.
