Answer:
6 =v
Step-by-step explanation:
-5(v - 1) = -6- (1 + 3v)
Distribute
-5v +5 = -6 -1 -3v
Combine like terms
-5v +5 = -7 -3v
Add 5v to each side
-5v+5v +5 = -7 -3v+5v
5 = -7+2v
Add 7 to each side
5+7 = -7+7 +2v
12 = 2v
Divide each side by 2
12/2 = 2v/2
6 =v
0.15p , p < $900
C(p) = 0.17p, $900 < p < $1,500
0.21p, p > $1,500
Answer:
a) $19.2
b) 0.8x
c) $17.5
Step-by-step explanation:
1. We want to find the discount price given the regular price
The discount is 20%
so the discount price will be;
24 - 20% of 24
24 - 4.8 = $19.2
b) We have this as;
x - (20% of x)
x - 0.2x = 0.8x
c) let the original price be x
x - 20% of x = 14
x - 0.2x = 14
0.8x = 14
x = 14/0.8
x = $17.5
Answer:
Required equation is 
.
Step-by-step explanation:
Given,
Height of the tree=5x+6
Distance from feet of the tree=2x-4
To find straight distance from feet of Madeline to top of the tree.
Let the tree as y-axis and distance from base along x-axis. Then the distence of straight line from foot of Madeline to top is become the hypotenuse of the triangle. Thus if we let,
Distance from feet of Madeline to top of tree= p, then, according to law of finding third side of a triangle we get,
Hence the result.
Answer:
3 x^2 +12x-9
Step-by-step explanation:
5x^2 - (2x-3)^2
We need to FOIL the second term
(2x-3)^2 = (2x-3) (2x-3) = 4x^2 -6x-6x+9 = 4x^2 -12x+9
Replacing it in to the original equation
5x^2 - (4x^2 -12x+9)
Distribute the minus sign
5x^2 - 4x^2 +12x-9
Combine like terms
x^2 +12x-9
