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otez555 [7]
3 years ago
7

Two numbers have a sum of -9. One number is x. What expression represents the other number?

Mathematics
1 answer:
Anika [276]3 years ago
3 0
Assume that the other number is y.
we know that the addition of both number is -9
this means that:
x+y=-9
reorder this equation to seperate the y variable:
y=-9-x
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Please help thank you
Dvinal [7]

the tale-tell fellow is the number inside the parentheses.

if that number, the so-called "growth or decay factor", is less than 1, then is Decay, if it's more than 1, is Growth.

\bf f(x)=0.001(1.77)^x\qquad \leftarrow \qquad \textit{1.77 is greater than 1, Growth} \\\\[-0.35em] ~\dotfill\\\\ f(x)=2(1.5)^{\frac{x}{2}}\qquad \leftarrow \qquad \textit{1.5 is greater than 1, Growth} \\\\[-0.35em] ~\dotfill\\\\ f(x)=5(0.5)^{-x}\implies f(x)=5\left( \cfrac{05}{10} \right)^{-x}\implies f(x)=5\left( \cfrac{1}{2} \right)^{-x} \\\\\\ f(x)=5\left( \cfrac{2}{1} \right)^{x}\implies f(x)=5(2)^x\qquad \leftarrow \qquad \textit{Growth} \\\\[-0.35em] ~\dotfill

\bf f(t)=5e^{-t}\implies f(t)=5\left( \cfrac{e}{1} \right)^{-t}\implies f(t)=5\left( \cfrac{1}{e} \right)^t \\\\\\ \cfrac{1}{e}\qquad \leftarrow \qquad \textit{that's a fraction less than 1, Decay}

now, let's take a peek at the second set.

\bf f(x)=3(1.7)^{x-2}\qquad \leftarrow \qquad \begin{array}{llll} \textit{the x-2 is simply a horizontal shift}\\\\ \textit{1.7 is more than 1, Growth} \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)=3(1.7)^{-2x}\implies f(x)=3\left(\cfrac{17}{10}\right)^{-2x}\implies f(x)=3\left(\cfrac{10}{17}\right)^{2x} \\\\\\ \textit{that fraction is less than 1, Decay} \\\\[-0.35em] ~\dotfill

\bf f(x)=3^5\left( \cfrac{1}{3} \right)^x\qquad \leftarrow \qquad \textit{that fraction is less than 1, Decay} \\\\[-0.35em] ~\dotfill\\\\ f(x)=3^5(2)^{-x}\implies f(x)=3^5\left( \cfrac{2}{1} \right)^{-x}\implies f(x)=3^5\left( \cfrac{1}{2} \right)^x \\\\\\ \textit{that fraction in the parentheses is less than 1, Decay}

6 0
3 years ago
How does the graph of g(x) = 3X – 2 compare to the graph of f(x) = 3X?
Marrrta [24]

Answer:

The graph of g(x) is a translation of f(x) 2 units down.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Solve<br><br> 7x - 2 = 5x + 14
Alexxx [7]

Answer:

8

Step-by-step explanation:

7x - 5x = 14 + 2

2x = 16

x = 16/2

x = 8

4 0
3 years ago
What is the measure of angle x?<br><br> Enter your answer in the box.<br><br> M
tiny-mole [99]

Answer:

61

Step-by-step explanation:

82+37=119. 180-119=61. remember triangles always add up to 180°

8 0
2 years ago
Read 2 more answers
!!I'M BEING TIMED ANSWER QUICKLY!! What is the y-intercept of the quadratic function f(x) = (x – 6)(x – 2)? (0,–6) (0,12) (–8,0)
-BARSIC- [3]
The answer is (0,12) as the y-int
3 0
3 years ago
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