The graph<span> of an </span>inequality in two variables<span> is the set of points that represents all solutions to the </span>inequality<span>.
A </span>linear inequality<span> divides the coordinate plane into </span>two <span>halves by a boundary line where one half represents the solutions of the </span>inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.<span>A way to solve a linear system algebraically is to use the substitution method.
</span>The graphs of equations<span> within a </span>system<span> can </span>tell<span> us how </span>many solutions<span> exist for </span>Infinite Solutions<span>. </span>If <span>the graphs of the </span>equations<span> intersect, then there is </span>one solution<span> that is true for Looking at the graph does </span>not tell<span> us exactly where that point is, but we don't So a </span>system<span> made of two intersecting lines </span>has one solution.
Two equations that have the same solution are called equivalent<span> equations e.g. The addition </span>property<span> of equality tells us that adding the same number to. We can also </span>use<span> this example with the pieces of wood to explain the </span><span>are </span>equal<span> as well.</span>
Answer:
All of them would be under $65
Answer:c
Step-by-step explanation:
Answer:
(g+f)(x)=(2^x+x-3)^(1/2)
Step-by-step explanation:
Given
f(x)= 2^(x/2)
And
g(x)= √(x-3)
We have to find (g+f)(x)
In order to find (g+f)(x), both the functions are added and simplified.
So,
(g+f)(x)= √(x-3)+2^(x/2)
The power x/2 can be written as a product of x*(1/2)
(g+f)(x)= √(x-3)+(2)^(1/2*x)
We also know that square root dissolves into power ½
(g+f)(x)=(x-3)^(1/2)+(2)^(1/2*x)
We can see that power ½ is common in both functions so taking it out
(g+f)(x)=(x-3+2^x)^(1/2)
Arranging the terms
(g+f)(x)=(2^x+x-3)^(1/2) ..
If we set the equation equal to 0, we can factor it to find its roots:
x² + 4x + 4 = 0
(x + 2)(x + 2) = 0
x = -2
This graph has one root, a double root, at -2. This means that a single point, which must be the vertex of the parabola, touches the x-axis at (-2, 0)
