Answer:
47
Step-by-step explanation:
a line adds up to 180 so 180-133=47
Answer:
Simplifed (X-5)(x^2+4x-2) = x^3 − x^2 − 22x + 10
Step-by-step explanation:
Expand ( x − 5 ) ( x^2 + 4x − 2 ) by multiplying each term in the first expression by each term in the second expression.
x ⋅ x^2 + x (4x) + x ⋅ −2 −5x^2 − 5 (4x) −5 ⋅ −2
Simplify terms.
x^3 − x^2 − 22x + 10
I hope this helps.
You're trying to find constants

such that

. Equivalently, you're looking for the least-square solution to the following matrix equation.

To solve

, multiply both sides by the transpose of

, which introduces an invertible square matrix on the LHS.

Computing this, you'd find that

which means the first choice is correct.
<span>The given function is f(x) = (7x + 1)/2. Write it as y = (7x)/2 + 1/2. To determine the inverse do these 3 steps. Step 1: Swap x and y to obtain x = (7y)/2 + 1/2. Step2: Solve for y. First, multiply through by 2 to obtain 2x = 7y + 1. Second, subtract 1 from each side to ontain 2x - 1 = 7y. Third, divide through by 7 to obtain (2x - 1)/7 = y. Step 3: Set y to the inverse of f(x) to obtain f^(-1) (x) = (2x - 1)/7.</span>