Answer:
Step-by-step explanation:
x=20
Reorder the terms:
(2 + 5x) = 3(x + 14)
Remove parenthesis around (2 + 5x)
2 + 5x = 3(x + 14)
Reorder the terms:
2 + 5x = 3(14 + x)
2 + 5x = (14 * 3 + x * 3)
2 + 5x = (42 + 3x)
Solving
2 + 5x = 42 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
2 + 5x + -3x = 42 + 3x + -3x
Combine like terms: 5x + -3x = 2x
2 + 2x = 42 + 3x + -3x
Combine like terms: 3x + -3x = 0
2 + 2x = 42 + 0
2 + 2x = 42
Add '-2' to each side of the equation.
2 + -2 + 2x = 42 + -2
Combine like terms: 2 + -2 = 0
0 + 2x = 42 + -2
2x = 42 + -2
Combine like terms: 42 + -2 = 40
2x = 40
Divide each side by '2'.
x = 20
Simplifying
x = 20
<span>1. Find the magnitude and direction angle of the vector.
2. Find the component form of the vector given its magnitude and the angle it makes with the positive x-axis.
<span>3. Find the component form of the sum of two vectors with the given direction angles.</span></span>
Y = <span>b^x
when x = 1
y = b^1
y = b
Therefore, the value of b is the same as the value of y when x =1
From the graph,
When x = 1, y = 0.5
Therefore, b = 0.5
To confirm this
From the graph,
When x = -1, y = 2
Since </span>y = b^x<span>
2 = </span>b^-1
2 = 1/b
2b = 1
b = 0.5
When x = -2, y = 4
Since y = b^x
4 = b^-2
4 = 1/(b^2)
b^2 = 1/4
b = √(1/4)
b = 1/2
b = 0.5
Therefore, it is conformed that b = 0.5
Median: The middle number when all the numbers are listed in order.
First, we would put our numbers in order from least to greatest.
0 - 0 - 1 - 1 - 1 - 2 - 2 - 2 - 4 - 4
Next, we need to find the middle number. When we cross of one number from the left and one number from the right and keep doing this, we come across two numbers that are in the middle. The two numbers that are in the middle are 1 and 2. We find the median by adding 2 and 1 together to get a sum of 3 and then divide it by 2 to get an answer of 1.5
The median of this set of numbers is 1.5
