Answer:
one million two hundred thirty four thousand six hundred seventy eight
![-x-2y=-4 \\ 3x+y=12 \\ \\ \hbox{the first equation:} \\ -x-2y=-4 \ \ \ \ \ \ |+2y \\ -x=2y-4 \ \ \ \ \ \ \ \ |\times (-1) \\ x=-2y+4](https://tex.z-dn.net/?f=-x-2y%3D-4%20%5C%5C%203x%2By%3D12%20%5C%5C%20%5C%5C%20%5Chbox%7Bthe%20first%20equation%3A%7D%20%5C%5C%20-x-2y%3D-4%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%7C%2B2y%20%5C%5C%20-x%3D2y-4%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%7C%5Ctimes%20%28-1%29%20%5C%5C%20x%3D-2y%2B4)
The expression you would substitute for x is -2y+4. The answer is d.
∑ 4 * 5^(i-1) = 4 + 20 + 100 + 500 = 624
∑ 3 * 4^(i-1) = 3 + 12 + 48 + 192 + 768 = 1,023
∑ 5* 6^(i-1) = 5 + 30 = 35
∑ 5^(i-1) = 1 + 5 + 25 + 125 = 156
Answer:
∑ (i=1, 2) 5 * 6^(i-1) < ∑ (i=1, 4) 5^(i-1) < ∑ (i=1, 4) 4 * 5^(i-1) <
< ∑ (i=1, 5) 3 * 4^(i-1)
Rational expression refers to a fraction in which the numerator and denominator are polynomials.
The graphs of f(x) and g(x) are transformed function from the function y = x^2
The set of inequalities do not have a solution
<h3>How to modify the graphs</h3>
From the graph, we have:
and ![g(x) = -x^2 +2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-x%5E2%20%2B2)
To derive y < x^2 - 3, we simply change the equality sign in the function f(x) to less than.
To derive y > x^2 + 2, we perform the following transformation on the function g(x)
- Shift the function g(x) down by 2 units
- Reflect across the x-axis
- Shift the function g(x) down by 3 units
- Change the equality sign in the function g(x) to greater than
<h3>How to identify the solution set</h3>
The inequalities of the graphs become
y < x^2 - 3 and y > x^2 + 2
From the graph of the above inequalities (see attachment), we can see that the curves of the inequalities do not intersect.
Hence, the set of inequalities do not have a solution
Read more about inequalities at:
brainly.com/question/25275758