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).
Both claims are false. In fact, 
and 
are one the multiplicative inverse of the other. This means, by definition of multiplicative inverse, that
So, it doesn't matter if is positive or negative: the multiplication of one number and its inverse will always be 1: for example,
Similarly, when you multiply two number, the sign of the product depends on the sign of the factors as follows:
So, the multiplication of two negative numbers is a positive number.
3/4 x -18 = 1/4 x -4
subtract 1/4 x from each side
3/4 x -1/4 x -18 = 1/4 x- 1/4 x -4
2/4 x - 18 = -4
add 18 to each side
1/2 x -18 + 18 = -4 + 18
1/2 x =14
multiply by 2 on each side
2* 1/2 x = 14 * 2
x =28
Answer:
(1, 3)
Step-by-step explanation:
2x + 3y = 11 ------------(i)
-4x + 2y = 2 ------------(ii)
Multiply equation (i) by 2.
(i)*2 4x + 6y = 22
(ii) <u>-4x + 2y = 2</u> {Now add and x will be eliminated}
8y = 24
y= 24/8
y = 3
Plugin the value of y in equation (i)
2x + 3*3 = 11
2x + 9 = 11
2x = 11-9
2x = 2
x = 2/2
x = 1
