we have that
using a graph tool
see the attached figure
statements
case a) The domain is {x|x ≤ –2}-------> Is False
the domain is all real numbers---------> the interval (-∞,∞)
case b) The range is {y|y ≤ 6}.------> Is True
The range is the interval (-∞,6]
case c) The function is increasing over the interval (–∞ , –2).-----> Is True
See the attached figure
case d)The function is decreasing over the interval (−4, ∞).-----> Is False
In the interval (-4,-2) the function is increasing and in the interval (-2,∞) the function is decreasing (See the attached figure)
case e)The function has a positive y-intercept.------> Is True
The value of y-intercept is 
Answer:
68
Step-by-step explanation:
Any function is evaluated by putting the argument value where the variable is, then doing the arithmetic. When the argument is another function value, that function value is evaluated first.
__
<h3>f∘g</h3>
The "o" in (fog) is a stand-in for the "ring operator" (∘) which is the operator used to signify a composition. A composition is evaluated right-to-left. That means (f∘g)(x) ≡ f(g(x)). The value of g(x) is found first, and is operated on by the function f.
Writing the composition in the form f(g(x)) lets you identify the layers of parentheses. As with any expression evaluation, the Order of Operations applies. It tells you to evaluate the expression in the innermost parentheses and work your way out.
<h3>g(-2)</h3>
To evaluate (f∘g)(-2) = f(g(-2)), we must first evaluate g(-2). That is ...
g(x) = 5x +4
g(-2) = 5(-2) +4 = -10 +4 = -6 . . . . . put -2 where x is, do the math
<h3>f(g(-2))</h3>
Now that we know g(-2) = -6, we know this expression is ...
f(-6) = 8 -10(-6) = 8 +60 = 68 . . . . . substitute for x in 8-10x
Then the value we're looking for is ...
(f∘g)(-2) = 68
First, recall that the equation of a line is
y = mx+b
where
m = slope
b = y-int
The key to this question is the details :
Horizontal line ---> This tells you that your slope is 0
y-int = 3.5 -----> In the equation above, b=3.5
Therefore,
y = 0x + 3.5
y = 0 + 3.5
y = 3.5
Answer:true
Step-by-step explanation:
Answer:
A got 243 tk
Step-by-step explanation:
Supose the amount C got was "x"
12 times B's share is 6 times C's share, that would be:
B = 6x
Also, 8 times A's share is 12 times B's share, that would be:
8A = 12B
8A = 12(6x)
8A = 72x
A = 72x/8
A = 9x
Now, we can say:
A = 9x
B = 6x
C = x
We know total is 432, thus we can write and solve for x first:
A + B + C = 432
9x + 6x + x = 432
16x = 432
x = 432/16
x = 27
A got "9x", so plugging in x = 27, we know:
A got 9*27 = 243 tk
