Daily profit, y, as a function of T-shirts sold, x, is
y = -10x² + 160x - 430
In order to generate $50 in daily profits, the number of T-shirts sold is determined by solving the equation
-10x² + 160x - 430 = 50
Divide through by -10.
x² - 16x + 43 = -5
x² - 16x + 48 = 0
Answer:
This quadratic equation can be solved by factorization.
Explanation:
Note that
48 = 4 x 12, and
4 + 12 = 16
Therefore
x² - 16x + 48 = (x - 4 )(x - 12 ) = 0
The solutions are
x - 4 = 0 => x = 4, and
x - 12 = 0 => x = 12
Answer:
slope of AB = 2
slope CD = 2
Step-by-step explanation:
the equation of a line is y = ax+ b where a is the slope, b is the y-intercept
let us take yB - yA
→ yB - yA = axB <u>+ b</u> - axA <u>- b</u>
→ yB - yA = a(xB - xA)
→ a = (yB - yA) / (xB = xA) = (6 - 2) / (-5 - (-7)) = 2
same goes for line CD
Answer:
Speed is the rate of change in position of an object, regardless of direction of travel. Walk forward or backward at 2 meters per second, and your speed is just that: 2 m/s. Velocity is speed in the context of direction. Say you were walking backward again; your velocity is negative 2 m/s, although your speed is still positive.
Step-by-step explanation:
7x+1 + 4x-3 = 42
11x-2=42
11x=44
Divide by 11 on both sides which equals:
x=4
To find the length of DE just plug 4 in for x into the equation:
(7x+1) —> 7(4)+1= 29
29 is the length of DE
Then plug in 4 to EF’s equation:
(4x-3) —> 4(4)-3=13
13 is the length for EF
29+13= 42
So in the end, your answer will be 29.
Set theory is the mathematical theory of well-determined collections, called sets, of objects that are called members, or elements, of the set. ... The axioms of set theory imply the existence of a set-theoretic universe so rich that all mathematical objects can be construed as sets
For example, if A = {1, 2, 3} and B = {1, 2, 3, 4, 5} then A Í B (Í means is a subset of). If A = {1, 2, 4, 8}, then n(A) = 4. This is because n(A) means the number of members in set A. The universal set is the set of all sets.
