Answer:
Step-by-step explanation:
f(x) is like y in a linear equation. There is one major difference. F(x) tells you what to substitute on the right every time you see an x.
f(a) = -3a + 7
f(b) = -3b + 7
For this question a and b have values. Now work with the right side only. This is the quickest way to get the answer, but it is only marginally correct.
f(a) = -3(-8) + 7 = 24 + 7 = 31
f(b) = -3(7) + 7 = -21 + 7 = - 14
f(a) + f(b) = 31 - 14 = 17
f(a) - f(b) = 31 - (-14) = 31 + 14 = 45
Find the least one. 3964. Which of the other two is lesser? 4000. Only one remains. Write these three in order now.
Answer:
Step-by-step explanation:
The three step test for continuity states that a function ƒ(x) is continuous at a point x = a if three conditions are satisfied:
- f(a) is defined.
- The limit of ƒ(x) as x approaches a exists.
- The limit of ƒ(x) as x approaches a is equal to f(a).
(i) Left-hand limit = right-hand limit.
Pass. The limit from either side is 8.
(ii) Left-hand limit = limit.
Pass. If the limits from either direction exist, the limit exists.
(iii) Limit as x ⟶ ∞ is not part of the three-step test.
(iv) Limit as x ⟶ 1 exists. Pass.
(v) f(1) is defined.
FAIL. f(1) is not defined.
(vi) Limit as x ⟶ ∞ is not part of the three-step test.
(vii) Passing the three-step test is not a step in the test.
(viii) The limit as x ⟶ 1 does not equal f(1).
FAIL. f(1) is undefined.
The steps in the three-step test for which the function fails are 
.
Answer:
$2.48
Step-by-step explanation:
29.75/12 =2.479
Answer is A. 18
EXPLANATION-
Its Simplifying
(9x + -44) = (6x + 10)
Reorder the terms:
(-44 + 9x) = (6x + 10)
Remove parenthesis around (-44 + 9x)
-44 + 9x = (6x + 10)
Reorder the terms:
-44 + 9x = (10 + 6x)
Remove parenthesis around (10 + 6x)
-44 + 9x = 10 + 6x
Solving
-44 + 9x = 10 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-44 + 9x + -6x = 10 + 6x + -6x
Combine like terms: 9x + -6x = 3x
-44 + 3x = 10 + 6x + -6x
Combine like terms: 6x + -6x = 0
-44 + 3x = 10 + 0
-44 + 3x = 10
Add '44' to each side of the equation.
-44 + 44 + 3x = 10 + 44
Combine like terms: -44 + 44 = 0
0 + 3x = 10 + 44
3x = 10 + 44
Combine like terms: 10 + 44 = 54
3x = 54
Divide each side by '3'.
x = 18
Simplifying
x = 18
