He would have to work 13 hours
I really don't know just say its o
Answer:
$14 per lb
Step-by-step explanation:
Given:
- Brand Y = $18 / lb
- Special Blend = $17 / lb
Let x be the price per lb of brand X coffee
3 lbs of brand X coffee + 9 lb of brand Y coffee = 12 lbs of special blend
⇒ 3x + 9(18) = 12(17)
⇒ 3x + 162 = 204
⇒ 3x = 42
⇒ x = 14
Therefore, brand X costs $14 per lb
Answer:
The positive value of
will result in exactly one real root is approximately 0.028.
Step-by-step explanation:
Let
, roots are those values of
so that
. That is:
(1)
Roots are determined analytically by the Quadratic Formula:


The smaller root is
, and the larger root is
.
has one real root when
. Then, we solve the discriminant for
:


The positive value of
will result in exactly one real root is approximately 0.028.
Answer:
D
Step-by-step explanation:
Parallel lines have the same gradient.
A line with a slope of zero is a horizontal line. Although two lines that have a slope of zero will result in two parallel lines, not all parallel lines are horizontal lines. Since the question is asking for which statement <u>must</u> be true, option A is incorrect.
If the slopes of two lines are negative reciprocals, they are perpendicular to each other. This is because the product of the gradients of 2 perpendicular lines is -1. Let the gradient of the first line be A and the other be B.
AB= -1


Thus, option B is incorrect too.
Undefined slopes gives vertical lines. Like option A, if two lines have an undefined slope, they will be parallel to each other. However since parallel lines are nit necessarily vertical lines, option C is also incorrect.