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Cerrena [4.2K]
3 years ago
11

Does the table represent an exponential function? Explain.

Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0

Answer:

No, because as the x-values are increasing by a constant amount, the y-values are not being multiplied by a constant amount.

Step-by-step explanation:

We have a set of ordered pairs of the form (x, y)

If a function is exponential then the ratio between the consecutive values of y, is always equal to a constant.

This means that:

\frac{y_2}{y_1}=\frac{y_3}{y_2}=\frac{y_4}{y_3}=by1y2=y2y3=y3y4=b

This is: y_2=by_1y2=by1

Now we have this set of points {(-1, -5), (0, -3), (1, -1), (2, 1)}

Observe that:

\begin{gathered}\frac{y_2}{y_1}=\frac{-3}{-5}=\frac{3}{5}\\\\\frac{y_3}{y_2}=\frac{-1}{-3}=\frac{1}{3}\\\\\frac{3}{5}\neq \frac{1}{3}\end{gathered}y1y2=−5−3=53y2y3=−3−1=3153=31

Then the values of y are not multiplied by a constant amount "b"

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Liliana solved the equation below. When she tried to verify her answer, she realized she made an error.
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Answer:

Step 3 of substracting 6 from both sides.    

Step-by-step explanation:

We are given the following information in the question:

We are given the equation:

\displaystyle\frac{1}{3}(x + 18) = 7

Multiplying the constant term we get,

\displaystyle\frac{1}{3}x + 6 = 7

Subtracting 6 from both the sides we get,

\displaystyle\frac{1}{3}x + 6-6 = 7-6\\\\\frac{1}{3}x = 1\\\\x = 3

Liliana made a mistake in the step of subtracting 6 from both sides. She subtracted 6 from the left side bu added 6 on the right side instead of subtracting from the right side.

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3 years ago
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The temperature dropped 5 °F every hour for 5 hours. What was the total number of degrees the temperature changed in the 5 hours
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Answer:

25

Step-by-step explanation:

you just multiple 5 times 5

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After school, Hugo helps out at a bunny shelter called Hoppy's Home. He cleans cages and feeds all 8 bunnies at the shelter. In
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Answer:

25.3

1_ draw a triangle

the shortest side is a which will be 8(bunnies)

diagonal will be c ( what you need to find )

the last side will be b.

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Let's try to simplify x^2 + 16. It's a sum of two squares:

x^2 + 16 = 0

x^2 = -16

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Remember that square roots have a plus or minus symbol outside:

±√-16 = ±4i

Our two roots are 4i and -4i. Therefore, the trinomial simplifies to:

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If we attempt to divide x + 4 by these two binomials, we will find that 4 and 4i are not like terms. Therefore, we can't simplify this expression.
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