Answer:
2x² - 11x + 15
Step-by-step explanation:
Find the area of the rectangle by multiplying the length and width together, using FOIL
(2x - 5)(x - 3)
Multiply the first terms:
(2x)(x) = 2x²
Multiply the first term in the parentheses by the last term in the second set of parentheses:
(2x)(-3) = -6x
Multiply the second term in the first set of parentheses by the first term in the second set:
(-5)(x) = -5x
Multiply the last terms:
(-5)(-3) = 15
Add these all together, then add like terms
2x² - 6x - 5x + 15
2x² - 11x + 15
So, the area of the rectangle is 2x² - 11x + 15
One possible answer is 120°
Below are suppose the be the questions:
a. factor the equation
<span>b. graph the parabola </span>
<span>c. identify the vertex minimum or maximum of the parabola </span>
<span>d. solve the equation using the quadratic formula
</span>
below are the answers:
Vertex form is most helpful for all of these tasks.
<span>Let </span>
<span>.. f(x) = a(x -h) +k ... the function written in vertex form. </span>
<span>a) Factor: </span>
<span>.. (x -h +√(-k/a)) * (x -h -√(-k/a)) </span>
<span>b) Graph: </span>
<span>.. It is a graph of y=x^2 with the vertex translated to (h, k) and vertically stretched by a factor of "a". </span>
<span>c) Vertex and Extreme: </span>
<span>.. The vertex is (h, k). It is a maximum if "a" is negative; a minimum otherwise. </span>
<span>d) Solutions: </span>
<span>.. The quadratic formula is based on the notion of completing the square. In vertex form, the square is already completed, so the roots are </span>
<span>.. x = h ± √(-k/a)</span>
Answer:
A
$7,p-5
20 characters long. hahahhahahahah
