In order to get the total price, we can multiply the 4 dollars by .05 to find 5 percent of the object's cost and add it to the sales tax. So, .05 times 4 is 0.2, meaning there is a sales tax of 0.2 dollars. We add that to the four, so the total price is 4.20 dollars. Hope this helps.
Answer:
Step-by-step explanation:
y^2 + x^2 = 65
y + x = 7......x = 7 - y
y^2 + (7 - y)^2 = 65
y^2 + (7 - y)(7 - y) = 65
y^2 + 49 - 7y - 7y + y^2 = 65
2y^2 - 14y + 49 = 65
2y^2 - 14y + 49 - 65 = 0
2y^2 - 14y - 16 = 0
2(y^2 - 7y - 8) = 0
2(y + 1)(y - 8) = 0
y + 1 = 0 y - 8 = 0
y = -1 y = 8
solution :
y = -1...........y + x = 7.....-1 + x = 7......x = 7 + 1......x = 8........(8,-1)
y = 8........y + x = 7.....8 + x = 7......x = 7 - 8........x = -1........(-1,8)
Answer:
x^2(3x-2) cubic inches OR in^3
OR
3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3
I AM UNAWARE IF YOU ASKED THAT ONE SIDE IS (3X-2) OR ALL. I WILL ANSWER BOTH PARTS
<em>-</em>
<em>NOTE</em><em>:</em><em> </em><em>'</em><em>^</em><em>'</em><em> </em><em>MEANS</em><em> </em><em>TO</em><em> </em><em>THE</em><em> </em><em>POWER</em><em> </em><em>OF</em><em>.</em><em>.</em>
<em>-</em>
Volume = v, abc = 3 sides of cube (height, width, length)
Using the formula for volume in a cube,

We can solve this.
If one side is (3x-2)in,
- (3x-2)(x)(x) = v.... x are the other two sides
- x^2(3x-2) = v
x^2(3x-2) cubic inches OR in^3
If all sides are (3x-2)in,
Use the formula,

We can solve this.
- (3x-2)(3x-2)(3x-2) = v
- (3x-2)^3 = v.... 3x = a and -2 = b
- (3x)^3 + [(3)(3x)(2)][2-3x] - (2)^3 = v
- 27x^3 + 18x(2-3x) -8 = v
- (27x^3 + 36x - 54x^2) - 8 = v.. Terms inside brackets - take 3x as common and leave out 8
- 3x(9x^2 -18x +12) = v... Take 3 as common again in the brackets
- 3x [ 3 ([3x^2 -6x] + 4) -8 = v....Take 3x common in the terms in square brackets
- 3x [ 3 [ 3x (x-2) + 4 ]] - 8 = v
- 3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 = v
3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3
___
If you have any questions regarding formulas or anything, comment and I will get back to you asap.
___
Answer:
y= -4x
Step-by-step explanation:
hope this helps and lmk if you need anything!