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marshall27 [118]
4 years ago
11

State the interval where g(x)>f(x)

Mathematics
1 answer:
Vaselesa [24]4 years ago
8 0

The interval where g(x) > f(x) is (-∞,2)

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Write a function rule for the table.
Pavlova-9 [17]
The correct answer is:  [C]:  " p = 6.25 h " .
______________________________________________________
Explanation:  
______________________________________________________

It is clear that "pay" is a function of "hours worked" ; 

So, we can eliminate:  "Choice [B]:  " h = <span>6.25p" .
______________________________________________________
Try, Choice [A]:  " </span>p = h + 12.5 " ; and 14.50 ≠ 12.50 ; (12.50 is the amount shown in the table.  So, we can already eliminate "Choice [A]".
<span>_____________________________________________
Now that we have eliminated choices [A] and [B]; 

we are left with choices:  [C] and [D]:
_____________________________________________
Consider choice [C]:  " </span><span>p = 6.25h " ;  
</span>   when "h = 2" ; does: "p = 12.5" (as shown on table)?? ; 

i.e. " 12.5 =? 6.25 * (2) ?? Yes!  This choice is a POSSIBILITY.
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Consider choice [D]:  " p = 12.5h" .

When "h = 2, does "p = 12.5" (as shown on table)?  No!  
   → We can see from this very answer choice
        (the equation itself) that when "h = 2" ;
the value of "p" is DOUBLE [that of "12.5"].
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The correct answer is:  Answer choice:  [C]:   " <span>p = 6.25 h " .
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6 0
3 years ago
Read 2 more answers
How do I solve for x?
notka56 [123]
Solving:
\frac{3+4x}{2} + \frac{5-x}{3} = \frac{29}{6}
Make the Least Common Multiple (2,3,6)
2,3,6\:|2
1,3,3\:|3
1,1,1\:|\underline{2*3=6}


<span>Replace denominators and resolve:
</span>\frac{3+4x}{2} + \frac{5-x}{3} = \frac{29}{6}
\frac{3(3+4x)}{6} + \frac{2(5-x)}{6} = \frac{29}{6}
Cancel the dominators
\frac{3(3+4x)}{\diagup\!\!\!\!6} + \frac{2(5-x)}{\diagup\!\!\!\!6} = \frac{29}{\diagup\!\!\!\!6}
3(3+4x) + 2(5-x) = 29
9 + 12x + 10 - 2x = 29
12x - 2x = 29 - 9 - 10
10x = 20 - 10
10x = 10
x =  \frac{10}{10}
\boxed{\boxed{x = 1}}\end{array}}\qquad\quad\checkmark


7 0
4 years ago
If the pattern rule is defined by the equation `t = 6n`, where `t` is the term value and `n` is the term number, what is the one
blagie [28]

Answer:

600

Step-by-step explanation:

Given

equation t = 6n

n is term number

we have to find 100th term.

Thus, term number is 100

substituting 100 in place of n in equation t=6n , we can find the value of 100th term

t = 6*100 = 600

Thus, 100th term is 600.

8 0
3 years ago
Find f(x) and g(x) so that the function can be described as y = f(g(x)).
mote1985 [20]
let g(x) = x^2+2 let f(x) = 9/x f(g(x)) is therefore equal to f(x^2 + 2) which is equal to 9/(x^2+2).
5 0
3 years ago
Is -49 a rational number? please explain
aleksklad [387]
Yes, because a rational number is any number that can be expressed as a fraction a/b where a/b are both integers, but cannot be zero.
7 0
3 years ago
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