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Rainbow [258]
3 years ago
7

Which table of ordered pairs represents a proportional relationship?

Mathematics
1 answer:
EleoNora [17]3 years ago
8 0

Answer:

second x -1,-3,-5 y 1 3 5 for proportional relation

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(12y 2+17y-4)+(9y-13y+3)
IrinaVladis [17]

Answer:

4y+3

Step-by-step explanation:

8 0
3 years ago
Evaluate -1-3-(-9)+(-5)
babunello [35]

To evaluate this expression, we need to remember that subtracting a negative number is the same as adding a positive number, and that adding a negative number is the same as subtracting a positive number. Using this knowledge, let's begin to simplify the expression below:

-1 - 3 - (-9) + (-5)

Because addition of a negative number is the same as subtraction of a positive number, we can change + (-5) to -5, as shown below:

-1 - 3 - (-9) - 5

Next, because we know that subtracting a negative number is the same as adding a positive number, we can change - (-9) to + 9, as shown below:

-1 - 3 + 9 - 5

Now, we can subtract the first two terms and begin to evaluate our expression:

-4 + 9 - 5

Next, we can add the first two numbers of the expression:

5 - 5

Now, we can subtract our last two numbers, which gives us our answer:

0

Therefore, your answer is 0.

Hope this helps!

3 0
3 years ago
What is 948 divided by 1,000
lana [24]

948 divided by 1,000 is 0.948

4 0
4 years ago
Given the functionf ( x ) = x^2 + 7 x + 10/ x^2 + 9 x + 20
vladimir1956 [14]

<em>x = -4 is a vertical asymptote for the function.</em>

<h2>Explanation:</h2>

The graph of y=f(x) is a vertical has an asymptote at x=a if at least one of the following statements is true:

1) \ \underset{x\rightarrow a^{-}}{lim}f(x)=\infty\\ \\ 2) \ \underset{x\rightarrow a^{-}}{lim}f(x)=-\infty \\ \\ 3) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty \\ \\ 4) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty

The function is:

f(x)=\frac{x^2+7x+10}{x^2+9x+20}

First of all, let't factor out:

f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20} \\ \\ f(x)=\frac{x(x+5)+2(x+5)}{x(x+5)+4(x+5)} \\ \\ f(x)=\frac{(x+5)(x+2)}{(x+5)(x+4)} \\ \\ f(x)=\frac{(x+2)}{(x+4)}, \ x\neq  5

From here:

\bullet \ When \ x \ approaches \ -4 \ on \ the \ right: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(-4^{+}+2)}{(-4^{+}+4)} \\ \\ \\ The \ numerator \ is \ negative \ and \ the \ denominator \\ is \ a \ small \ positive \ number. \ So: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=-\infty

\bullet \ When \ x \ approaches \ -4 \ on \ the \ left: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(-4^{-}+2)}{(-4^{-}+4)} \\ \\ \\ The \ numerator \ is \ a \ negative \ and \ the \ denominator \\ is \ a \ small \ negative \ number \ too. \ So: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=+\infty

Accordingly:

x=-4 \ is \ a \ vertical \ asymptote \ for \\ \\ f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20}

<h2>Learn more:</h2>

Vertical and horizontal asymptotes: brainly.com/question/10254973

#LearnWithBrainly

5 0
4 years ago
What is the axis of symmetry for f(x) = 2x2 - 8x + 8?<br> Ox<br> = -2<br> Ox=-3<br> Ox=3<br> Ox=2
zepelin [54]

Answer:

  x = 2

Step-by-step explanation:

For quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a).

Here, we have a=2, b=-8, so the axis of symmetry is ...

  x = -b/(2a) = -(-8)/(2(2)) = 8/4

  x = 2

5 0
3 years ago
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