Step-by-step explanation:
1. 2x - x + 7 = x +3 + 4
Collecting like terms;
2x - x - x = 3 + 4 - 7
2x = 0
x = 0
2. -2(x + 1) = -2x + 5
Expanding the bracket;
- 2x - 2= - 2x + 5
Collecting like terms;
- 2x + 2x = 5 + 2
0 = 7
It has no solution
3. 4x + 2x + 2 = 3x - 7
Collecting like terms;
4x + 2x + 3x = - 7 -2
9x = -9
x = -1
4. 4(2x + 1) = 5x + 3x + 9
Expanding the bracket
8x + 4 = 5x + 3x + 9
Collecting like terms
8x - 5x - 3x = 9 - 4
0 = 5
It has no solution
5. X + 2x + 7 = 3x - 7
Collecting like terms
x + 2x - 3x = - 7 - 7
0 = - 14
It has no solution
Answer:
81π for the x axis.
Step-by-step explanation:
STEP ONE: Determine the intersection.
we are given from the question that y = x^2 and y = 6x − x^2. Therefore if y = x^2, then we will have;
x^2 = 6x - x^2 ---------------------------------------------------------------------------------[1].
Solving and factorizing the equation [1] above give us x = 0 and x = 3 (that is x[6 -2x] = 0 ). Therefore, the point of intersection = (0,0) and (3,9).
<u>STEP TWO</u><em>: </em>Determine the value for the cross sectional area.
The cross sectional area= [6x - x^2]π - [x2]^2 π. --------------[2].
The cross sectional area = -12 π[x -3]x^2.
<u>STEP THREE:</u> integrate the cross sectional area taking x =3 and x =0 as the upper and lower integration limits or boundaries with respect to dx to determine the vome in the x axis.
<h3>volume =∫-12 π[x -3]x^2 dx.</h3><h3 /><h3>volume = -12 π[ (3)^4/4 - (3)^3 ] = 81π.</h3>
volume, v with respect to the x axis = 81π
1. 700 calories
2. Half a serving
3.x=serving
350x=calories
It depends on what that number is.
