1. True
2. True
3. False
1.
Given
a = 7
b = 3
c = -5
Substitution
3a + 4b + 2c = 23
3(7) + 4(3) + 2(-5) = 23
21 + 12 + (-10) = 23
21 + 12 -10 = 23
33 - 10 = 23
23 = 23
TRUE
2.
x = -2
3x + 5 = -1
3(-2) + 5 = -1
-6 + 5 = -1
-1 = -1
3.
r = -5
r³ - 10 = 95
(-5)³ - 10 = 95
-125 - 10 = 95
- 135 = 95
FALSE
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Answers & Comments
Answer
1. True
2. True
3. False
Solution
1.
Given
a = 7
b = 3
c = -5
Substitution
3a + 4b + 2c = 23
3(7) + 4(3) + 2(-5) = 23
21 + 12 + (-10) = 23
21 + 12 -10 = 23
33 - 10 = 23
23 = 23
TRUE
2.
Given
x = -2
Substitution
3x + 5 = -1
3(-2) + 5 = -1
-6 + 5 = -1
-1 = -1
TRUE
3.
Given
r = -5
Substitution
r³ - 10 = 95
(-5)³ - 10 = 95
-125 - 10 = 95
- 135 = 95
FALSE