Part A: p(x) and f(x) intersect (this is the solution) at the point (-3, -2)
Part B: This would be any points of the graph of the line labeled f(x)
2 clear points would be (-3, -2) and (-7, 3)
Part C: The solution for p(x) = g(x) is the x-value for the point of intersection
x = 4 because the two graphs intersect at the point (4, 1)
Answer:
(D) 10x² +2x - 9
Step-by-step explanation:
3x² + 2x - 5
<u>+ 7x² - 4</u>
10x² +2x - 9
Answer:
14w+26
Step-by-step explanation:
So use PEMDAS, distribute, and combine like terms
14w+21+5
then
14w+26
2x2 + -4x + -3 = 0 Reorder the terms: -3 + -4x + 2x2 = 0 Solving -3 + -4x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -1.5 + -2x + x2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + -2x + 1.5 + x2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -2x + x2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -2x + x2 = 0 + 1.5 -2x + x2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -2x + x2 = 1.5 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = 1.5 + 1 Reorder the terms: 1 + -2x + x2 = 1.5 + 1 Combine like terms: 1.5 + 1 = 2.5 1 + -2x + x2 = 2.5 Factor a perfect square on the left side: (x + -1)(x + -1) = 2.5 Calculate the square root of the right side: 1.58113883 Break this problem into two subproblems by setting (x + -1) equal to 1.58113883 and -1.58113883.
Subproblem 1
x + -1 = 1.58113883 Simplifying x + -1 = 1.58113883 Reorder the terms: -1 + x = 1.58113883 Solving -1 + x = 1.58113883 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 1.58113883 + 1 Combine like terms: -1 + 1 = 0 0 + x = 1.58113883 + 1 x = 1.58113883 + 1 Combine like terms: 1.58113883 + 1 = 2.58113883 x = 2.58113883 Simplifying x = 2.58113883
Subproblem 2
x + -1 = -1.58113883 Simplifying x + -1 = -1.58113883 Reorder the terms: -1 + x = -1.58113883 Solving -1 + x = -1.58113883 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -1.58113883 + 1 Combine like terms: -1 + 1 = 0 0 + x = -1.58113883 + 1 x = -1.58113883 + 1 Combine like terms: -1.58113883 + 1 = -0.58113883 x = -0.58113883 Simplifying x = -0.58113883
Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.58113883, -0.58113883}
itss sooo loonh
Answer: π
<u>Step-by-step explanation:</u>
The standard form of a secant equation is: y = A sec(Bx - C) + D where
- A = Amplitude
- Period (P) = 2π/B
- C = Phase Shift
- D = vertical shift (also the center line)
Given: F(x) = 2 sec(2x + 3)
↓
B=2
Period = 2π/B
= 2π/2
= π
