F(x) = x² - 10x + 24
opens up because coefficient of x² is positive
crosses x-axis at x = 6 and x = 4
crosses y-axis at y = 24
vertex is a minimum at (5, -1)
Answer:
The value of x is 67
Step-by-step explanation:
- <em>If </em><em>two adjacent angles formed a line</em><em>, then they called </em><em>a pair of linear angles</em>
- <em>The </em><em>measure</em><em> of the pair of linear angles is </em><em>180°</em>
In the given figure
∵ One side of the triangle is extended to form an exterior angle of 113°
∵ The angle of 113° and the angle of x° are adjacent angles
∵ They formed a line (the side is extended)
→ That means they formed a pair of linear angles
∴ The angle of 113° and the angle of x° formed a pair of linear angles
∵ The measure of the pair of linear angles = 180°
∴ 113° + x° = 180
→ Subtract 113 from both sides
∵ 113 - 113 + x = 180 - 113
∴ x = 67
∴ The value of x is 67
Since Maria is going to put a trim around a triangle-shaped banner with 22 inches long per side, this means that for the banner, it has a total length of 66 inches. 66 inches would be equal to 5.5 foot. This means that the total length of the trim from the start is 7 foot. Hope this helps.
Answer:
x = -2+√3i and -2-√3i
Step-by-step explanation:
The formula for the general formula is expressed as;
x = -b±√b²-4ac/2a
Given the expression
x²+4x+7 = 0
a = 1, b = 4 and c = 7
Substitute
x = -4±√4²-4(1)(7)/2(1)
x = -4±√16-28/2
x = -4±√-12/2
x = -4±√4*-3/2
x = -4±2√-3/2
x = -4±2√3i/2
x = -4+2√3i/2 and -4-2√3/2
x = -2+√3i and -2-√3i
H(x) = f(x) times g(x)
= (x(2-x)) * (3x)
= (2x-x^2)(3x)
= 6x-3x^3 ⇒ answer to your question
