F(x) = 3x + 7.....g(x) = 4x - 2
A. (f + g)(x)
3x + 7 + 4x - 2
7x + 5 <====
B. (f * g)(x)
(3x + 7)(4x - 2) =
3x(4x - 2) + 7(4x - 2) =
12x^2 - 6x + 28x - 14
12x^2 + 22x - 14 <===
C. f[g(x)]
3(4x - 2) + 7 =
12x - 6 + 7 =
12x + 1 <===
Answer:
Step-by-step explanation:
Option 1
= 4
Option 2
= 30 + 15 - 35
= 45 - 35
= 10
Option 3
Option 4
= 30 + 15 - 5
= 45 - 5
= 40
Therefore, None of the given expressions has a value of 5.
The system 150x+400y=1950 and x = y+2 could be used to determine the number of small boxes and large boxes ordered where x represents the number of small boxes and y represent the number of large boxes.
Step-by-step explanation:
Given,
Number of nails in small box = 150 nails
Number of nails in large box = 400 nails
Total nails in ordered boxes = 1950 nails
Let,
x be the number of small boxes ordered.
y be the number of large boxes ordered.
According to given statement;
150x+400y=1950 Eqn 1
The contractor bought 2 more small boxes than large boxes
x = y+2 Eqn 2
The system 150x+400y=1950 and x = y+2 could be used to determine the number of small boxes and large boxes ordered where x represents the number of small boxes and y represent the number of large boxes.
Keywords: linear equation, substitution method
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