Answer:
5x + 4y + 12 = 0
Step-by-step explanation:
Start with the point-slope equation of a straight line: y - k = m(x - h):
Here we are given the point (h, k): (-8, 7) and the slope m = -5/4. Inserting this info into the equation give above, we get: y - 7 = (-5/4)(x + 8).
We must put this equation into "standard form" Ax + By + C = 0.
Multiply all three terms by 4 to remove fractions: 4y - 28 = -5(x + 8), or
4y - 28 + 5x + 40 = 0
Rearranging these terms, we get 5x + 4y + 12 = 0, which is the desired equation in standard form.
Answer:
Rayshawn originally had $30.
Step-by-step explanation:
i) Rayshawn has a certain amount of money. Let us say this amount is $x.
ii) Rayshawn spends $20 which means that he is left with $(x - 20)
iii) it is also given that amount of money left after spending $20 is 
of the original amount, $x, the amount remaining is 
.
iv) from the information given in ii) and iii) we get
$(x - 20) = , Therefore we get 3x - 60 = x , therefore 2x = 60,
Therefore x = $30. Rayshawn originally had $30.
We are given the functions:
<span>P (d) = 0.75 d --->
1</span>
<span>C (P) = 1.14 P --->
2</span>
The problem asks us to find for the final price after
discount and taxes applied; therefore we have to find the composite function of
the two given functions 1 and 2. To solve for composite function of the final
price of the dishwasher with the discount and taxes applied, all we have to do
is to plug in the value of P (d) with variable d into the equation of C (P).
That is:
C (P) = 1.14 (0.75 d)
C (P) = 0.855 d
or
<span>C [P (d)] = 0.855 d</span>
