Let's define each choice to differentiate which is the answer
A. Equivalent - equivalent equations may not look exactly the same on face value. But they are equivalent because they have the same exact solution.
B. Expressions - expression is a general term for equations that are formed from word problems
C. Equal - equal equations are the exact duplicate of each other
D. Similar - this term is only used on geometric shapes to tell that the two shapes have a fixed ratio of their similar sides or angles
E. Radical - radical equations are those involving fractions
Therefore, from their descriptions, the answer is A.
Answer:
(i) (f - g)(x) = x² + 2·x + 1
(ii) (f + g)(x) = x² + 4·x + 3
(iii) (f·g)(x) = x³ + 4·x² + 5·x + 2
Step-by-step explanation:
The given functions are;
f(x) = x² + 3·x + 2
g(x) = x + 1
(i) (f - g)(x) = f(x) - g(x)
∴ (f - g)(x) = x² + 3·x + 2 - (x + 1) = x² + 3·x + 2 - x - 1 = x² + 2·x + 1
(f - g)(x) = x² + 2·x + 1
(ii) (f + g)(x) = f(x) + g(x)
∴ (f + g)(x) = x² + 3·x + 2 + (x + 1) = x² + 3·x + 2 + x + 1 = x² + 4·x + 3
(f + g)(x) = x² + 4·x + 3
(iii) (f·g)(x) = f(x) × g(x)
∴ (f·g)(x) = (x² + 3·x + 2) × (x + 1) = x³ + 3·x² + 2·x + x² + 3·x + 2 = x³ + 4·x² + 5·x + 2
(f·g)(x) = x³ + 4·x² + 5·x + 2
Morning temperature = −2°F
Afternoon temperature = +1°F
Night temperature = 0°F
Answer
The morning temperature was 2 degrees below the night temperature
I think it's histograms for the first blank; distribution for the second blank; frequency for the third and final blank.
Hope this helps please let me know if I'm wrong :)))
