Answer:
x = 2, x = 7
Step-by-step explanation:
Given
| 3x - 11 | = x + 3
The absolute value always gives a positive value, however, the expression inside the bars can be positive or negative, thus
3x - 11 = x + 3 or - (3x - 11) = x + 3
Solving both equations
3x - 11 = x + 3 ( subtract x from both sides )
2x - 11 = 3 ( add 11 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
or
- (3x - 11) = x + 3
- 3x + 11 = x + 3 ( subtract x from both sides )
- 4x + 11 = 3 ( subtract 11 from both sides )
- 4x = - 8 ( divide both sides by - 4 )
x = 2
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions
x = 7
| 3(7) - 11 | = | 21 - 11 | = | 10 | = 10
right side = 7 + 3 = 10 → both sides are equal thus x = 7 is a solution
x = 2
| 3(2) - 11 | = | 6 - 11 | = | - 5 | = 5
right side = 2 + 3 = 5 → both sides are equal thus x = 2 is a solution
The solutions are x = 2, x = 7
Answer:
NO. Emma is not correct.
Step-by-step explanation:
✔️Initial value for Function A:
The initial value is the y-intercept of the graph. The y-intercept is the point at which the line intercepts the y-axis. From the graph given, the line intercepts the y-axis, at y = 2, when x = 0.
Initial value for Function A is therefore = 2
✔️Initial Value of Function B:
To find the initial value/y-intercept for Function B, do the following:
Using two pairs of values form the table, (2, 2) and (4, 3), find the slope:
Slope (m) = ∆y/∆x = (3 - 2) / (4 - 2) = 1/2
Slope (m) = ½
Next, substitute (x, y) = (2, 2) and m = ½ into y = mx + b, to find the intial value/y-intercept (b).
Thus:
2 = ½(2) + b
2 = 1 + b
2 - 1 = b
1 = b
b = 1
The initial value for Function B = 1
✅The initial value for Function A (2) is not the same as the initial value for Function B (1). Therefore, Emma is NOT CORRECT.
The differential of
is
where the partial derivatives are
So the differential d<em>w</em> is
2 to the average 5 and times the inequality of 16-inch
Answer:
P= 20x+2 ft
Step-by-step explanation:
________
I I
I I 3x + 7ft
________
7x - 6ft
P= (7x - 6 + 7x - 6) + (3x + 7 + 3x + 7)
= (14x - 12) + (6x + 14)
= 20x + 2 ft
