Digital Genius manufactures a cell phone charging pad that can fully charge any cell phone that is placed on it in 15 minutes. The analytics department determined that at a price of $109.00 each, the demand would be 5 thousand pads, and at $69.00 each, the demand would be 15 thousand pads. Based on the assumption that a linear relationship exists between price and demand, the price-demand equation is given by p(x) = -4(x) + 129

where x is the number of thousands of pads in demand. At what price point should they sell the pads to have a demand of 13 thousand pads?
A. $32.25
B. $52.00
C. $77.00
D. $29.00

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.

its an acute right triangle

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form