To find f(-20), first figure out which piece x = -20 fits with.
Since -20 < -12, x = -20 first in the domain used by the third piece.
For f(-20), treat this function as if it was just f(x) = 3x-7.
f(-20) = 3(-20) -7
= -60 - 7
= -67
Is there any more of the problem
Answer:
- 3(2 +7)
- 9(3 +5)
- 16(2 +3)
- 15(2 +5)
- 8(11 +3)
Step-by-step explanation:
- 6 + 21 = 2·3 + 3·7 = 3(2 +7)
- 27 + 45 = 3^3 + 3^2·5 = 9(3 +5)
- 32 + 48 = 2^5 + 2^4·3 = 16(2 +3)
- 30 + 75 = 2·3·5 + 3·5^2 = 15(2 +5)
- 88 + 24 = 2^3·11 +2^3·3 = 8(11 +3)
In each case, the factor outside parentheses is the greatest common factor, the product of the prime factors common to both numbers. When the same factor has different powers, the least power is the common factor.
Answer:
To find the mean , median and mode of the students.
Step-by-step explanation:
The students choose from the three definitions of average to find the mean, median or mode of the students’ height in the school.
Students develop a strategy, collect and record data, and analyse data to answer this question.
The key concepts are
Consolidating the terms mean, median and mode.
The students should find the median of the height for the school if they have collected the median result of each grade.
Let's begin by evaluating f(x) using the value of 3: f(x) = 2x2 - 4x - 4 (original function) f(3) = 2(3)2 - 4(3) - 4 (plugging in 3 for x) f(3) = 2 (computed result) Now let's evaluate g(x) using the value of 3: g(x) = 4x - 7 (original function) g(x) = 4(3) - 7 (plugging in 3 for x) g(x) = 5 (computed result) Finally, we'll sum our results: (f + g)(3) = 2 + 3 (add f(3) and g(3)) <span>(f + g)(3) = 5 (final answer)</span>
