Answer:
34.29 (rounded to the nearest hundredth)
Step-by-step explanation:
Answer:
Reflection over the Y axis-
Step-by-step explanation:
Answer:
Step-by-step explanation:
They already said the domain of f(x) is x≥0.
The smallest value of f(x) is f(0) = 9.
Range of f(x) is y≥9.
The radicand of a square root must be non-negative, so the domain of f⁻¹(x) is x≥9.
The range is y≥0.
Answer:
Proved
Step-by-step explanation:
Solving (a):
Let the numbers be:
Their sum is:
Collect Like Terms
Divide sum by 3.
<em>Hence, this is true because there is no fractional part after the division</em>
<em></em>
Solving (b):
Let the numbers be:
Their sum is:
Collect Like Terms
Divide sum by 5.
<em>Hence, this is true because there is no fractional part after the division</em>
<em></em>
Solving (c):
Let the numbers be:
Their sum is:
Collect Like Terms
Divide sum by 4.
Split
<em>The 1.5 means that the sum can not be divisible by 4</em>
5x - 3(x - 3) = -6 + 6x - 5
5x - 3x + (-9) = -11 + 6x
2x - 9 = -11 + 6x
2x - 2x - 9 = -11 + 6x - 2x
-9 = -11 + 4x
-9 + 11 = -11 + 11 + 4x
2 = 4x
2/4 = 4x/4
2/4 = x
1/2 = x
Best of Luck!