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weqwewe [10]
3 years ago
8

The graph of an exponential function passes through (2,−32) and (3,−64). Find the exponential function that describes the graph.

Mathematics
1 answer:
Greeley [361]3 years ago
7 0

Answer: y=(-8)2^x

Step-by-step explanation:

The exponential function will have this form:

y=ab^x

We know that the function passes through the points (2,-32) and (3,-64). Then, we can substitute the coordinates of the point (2,-32)  into y=ab^x and solve for "a":

-32=ab^2\\\\a=\frac{-32}{b^2}

Then, we know that:

y=(\frac{-32}{b^2})b^x

Now, we neeed to substitute the coordinates of the second point (3,-64) into y=(\frac{-32}{b^2})b^x and solve for "b":

-64=(\frac{-32}{b^2})b^3\\\\-64=-32b\\\\\frac{-64}{-32}=b\\\\b=2

Substituting the value of "b" into a=\frac{-32}{b^2} we can find "a":

a\frac{-32}{2^2}\\\\a=-8

Therefore, we get that the exponential function that describes the graph, is:

y=(-8)2^x

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Ilya [14]

given that

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= 453.75 + 245 = 698.75

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4 0
3 years ago
If X=5 and 5=y, then x=y <br> Ar algebraic equality property justifies the above statement?
RUDIKE [14]

Answer:

Yes.

Step-by-step explanation:

According to the Transitive property of the Algebraic properties of equality, two values are said to be equal is they are differently equal to a corresponding third party. This is, If a=b and b=c then a=c.

Hence, if x=5 and 5=y, then following the transitive property of Algebraic properties of equality, x=y, hence the Algebraic property of equality Justifies the statement.

3 0
3 years ago
Find the domain of the function. (Enter your answer using interval notation.)
Andreas93 [3]

Answer:

(-\infty,-9)\cup(-9,\infty)

Step-by-step explanation:

The domain of a rational function is all real numbers <em>except </em>for when the denominator equals 0.

So, to find the domain restrictions, set the denominator to 0 and solve for x.

We have the rational function:

s(y)=\frac{7y}{y+9}

Set the denominator to 0:

y+9=0

Subtract 9:

y\neq-9

So, the domain is all real numbers except for -9.

In other words, our domain is all values to the left of negative 9 and to the right of negative 9.

In interval notation, this is:

(-\infty,-9)\cup(-9,\infty)

And we're done :)

4 0
2 years ago
Please solve this for me please
Natalka [10]
I’m having trouble reading your equations is it
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8 0
2 years ago
-3x – 10 = 32Help me I need the answer
Nesterboy [21]

Answer:

<h2><u><em>x = - 14</em></u></h2>

Step-by-step explanation:

-3x – 10 = 32 Help me I need the answer

-3x – 10 = 32

-3x = 32 + 10

-3x = 42

x = 42 :(-3)

x = - 14

-----------------

check

-3 × (-14) - 10 = 32                      (remember pemdas)

42 - 10 = 32

32 = 32

the answer is good

6 0
10 months ago
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