Answer:
To solve a system of of linear inequalities, you could do the elimination method or substitution method.
Step-by-step explanation:
- For elimination method, you can add the same value to each side of an equation. So if you have a system: x – 6 = −6 and x + y = 8, you can add x + y to the left side of the first equation and add 8 to the right side of the equation.
For substitution method, you have to:
Step 1 : First, solve one linear equation for y in terms of x.
Step 2 : Then substitute that expression for y in the other linear equation.
Step 3 : Solve this, and you have the x -coordinate of the intersection.
Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.
25
I think I'm not completely sure
Answer:
51.8mph
Side note: Caroline isn't human. Walking almost 52 miles per hour is humanly impossible
Hope I helped! ☺
The <em>vertex</em> form of the <em>quadratic</em> equation, written in <em>standard</em> form, f(x) = 2 · x² - 20 · x + 8 is f(x) + 75 = 2 · (x - 5)².
<h3>What is the vertex form of a quadratic equation?</h3>
In this problem we have a <em>quadratic</em> equation in <em>standard</em> form, whose form is defined by f(x) = a · x² + b · x + c, where a, b, c are <em>real</em> coefficients, and we need to transform it into <em>vertex</em> form, defined as:
f(x) - k = C · (x - h)² (1)
Where:
- (h, k) - Vertex coordinates
- C - Vertex constant
This latter form can be found by algebraic handling. If we know that f(x) = 2 · x² - 20 · x + 8, then its vertex form is:
f(x) = 2 · x² - 20 · x + 8
f(x) = 2 · (x² - 10 · x + 4)
f(x) + 2 · 25 = 2 · (x² - 10 · x + 25)
f(x) + 75 = 2 · (x - 5)²
The <em>vertex</em> form of the <em>quadratic</em> equation, written in <em>standard</em> form, f(x) = 2 · x² - 20 · x + 8 is f(x) + 75 = 2 · (x - 5)².
To learn more on quadratic equations: brainly.com/question/1863222
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