Hello there!
ax + bx = 13
We want to start by factorizing out the variable x
x(a + b) = 13
Then divide both sides by a+b
x( a + b)/a + b = 13/a+b
x = 
2)
ax + 5 = cx
Should start by adding -cx on both sides
ax + 5 - cx = cx - cx
ax + 5 - cx = 0
ax - cx = 0 - 5
ax - cx = -5
Then again, we need to factor out x because there's two of them
x( a - c) = -5
Then divide both sides by a-c
x(a - c)/ a - c = -5/a - c
x = 
3)
ax + b = dx - 1
Start by adding -dx on both sides
ax + b - dx = dx - 1 - dx
ax - dx + b = -1
ax - dx = -1 - b
Here we go again, factor out x
x( a - d) = -b - 1
x = 
I hope these answers help. As always, it is my pleasure to help students like you. Let me know if you have additional questions.
Answer:
The width of the rectangle is 18 inches, and the length is 50 inches
Step-by-step explanation:
We can designate a variable, x, to represent the width of the rectangle. To represent the length and widths of the rectangle, we can say that the length is 3x-4 and the width is just x. We can then write an equation for the perimeter and solve:
2(3x-4) + 2x = 136
6x - 8 + 2x = 136
8x - 8 = 136
8x = 144
x = 18
To calculate the length
(3x - 4)
3(18) - 4 = 50 in
Answer:
Matrix A is not invertible.
Step-by-step explanation:
Invertible matrix are those matrix which are square matrix or non singular matrix.
For any matrix to be invertible, matrix should be non singular i.e. det(x)
0.
But for the question given above we cannot find determinant of matrix A as it is not square matrix. so inverse of given matrix does not exist. so it is not possible to have non trival solutions.
Answer:
Step-by-step explanation:
From the question we are told that:
Population size 
Rate of Population increase 
Average annual income 
Rate of annual income increase 
Generally the equation for Total Income is mathematically given by
<h3>Two
Answers: <u>
x = 2 and x = 10</u></h3>
========================================================
Explanation:
Draw a horizontal line through 10 on the y axis. This is because R(x) = 10 is the same as y = 10. The output of the function is the y value.
See the diagram below.
The horizontal line crosses the parabola at two locations. From those points, draw a vertical line straight down to the x axis. Note how we land at x = 2 and x = 10. This means that R(2) = 10 and R(10) = 10.
