40 POINTS! Please HELP!!!Use the function f(x) to answer the questions:
2 answers:
<h2>Answer:</h2><h2>Step-by-step explanation:</h2>
Eq.
Part A:
1. Set the output value (also known as "y" on a coordinate plane) = 0
2. = 0
3. Factor using "ac" method. (5 x 3 = 15, what factors of 15 when added/subtracted = 2?)
= 0
- 5x(x + 1) - 3(x + 1) = 0
- (5x - 3)(x + 1) = 0
4. Use zero property.
- 5x - 3 = 0
- 5x = 3
- x = 3/5
OR
- x + 1 = 0
- x = - 1
5. These are the x-intercepts: (3/5, 0) and (- 1, 0)
Part B:
Vertex Formula: x = -b/2a
In a quadratic equation the base equation (standard form) is ax^2 + bx + c, where a is a non-zero constant, and b and c are real numbers.
(eq. 5x^2 + 2x - 3)
-2/2(5) = -2/10 = - 1/5 --> x-coordinate
plug (- 1/5) in for x to get - 16/5 as the y-coordinate.
VERTEX: (-1/5, - 16/5) ; minimum because "a" value is positive
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Answer:
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An angle bisector divides an angle in half, therefore:
m∠VUW ≅ m∠WUT
Set the expressions equal to each other:
4x + 6 = 6x - 10
Subtract 4x from both sides:
6 = 2x - 10
Add 10 to both sides:
16 = 2x
Divide 2 from both sides:
x = 8.
Substitute in the value of "x" into the equation for ∠WUT:
6(8) - 10 = 48 - 10 = 38°.