Answer:
C. 5x² - 4
General Formulas and Concepts:
<u>Algebra I</u>
- Composite Functions
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 4x² + 1
g(x) = x² - 5
(f + g)(x) is f(x) + g(x)
<u>Step 2: Find (f + g)(x)</u>
- Substitute: (f + g)(x) = 4x² + 1 + x² - 5
- Combine like terms: (f + g)(x) = 5x² - 4
9514 1404 393
Answer:
47 -6√10
Step-by-step explanation:
As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.
(a -b)² = a² - 2ab + b²
(√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²
= 2 - 6√10 + 3²(5)
= 47 -6√10
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<em>Check</em>
√2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals
(√2-3√5)² ≈ 28.02633
47 -6√10 ≈ 28.02633
A angle 2
B Angle 3
D Angle 5
E Angle 6
C Angle 4
The mode for this set of numbers is 18 because there are three 18's in the set of number, and only two 20's. :D