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Ludmilka [50]
3 years ago
8

If

s="latex-formula">² -x+3, then what is the reaminder when f(x) is divided by x+9?
Mathematics
1 answer:
Paraphin [41]3 years ago
7 0

Answer:

Remainder is 93

Step-by-step explanation:

Use synthetic division:

-9 | 1   -1    3

____<u> -9   90</u>

     1 -10 | 93

Therefore, the remainder is 93

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Find the value of Q.
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Step-by-step explanation:

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a rectangular table top measures 4/9 of a meter long by 4/5 of a meter wide. the area is _____ square meter.
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Write an exponential function that includes the following given pair of points.
alina1380 [7]

Answer:

f(x)=-2^x

Step-by-step explanation:


So generally an exponential equation is expressed in the form: f(x)=a(b)^x and: b=1+r\text{ or }b=1-r \text{ depending on whether it's decaying or growing}. In this case we see that as x increased by 1, the y-decreases, BUT the absolute value is increasing, so it's really just reflected.

Plug in known values:

-2=a(b)^1

-4=a(b)^2

So if you think about it. you really have

-2 = a * b

-4 = a * b * b

since ab = -2, then we can substitute this into the second equation

-4 = -2 * b

-4 = -2b

Divide both sides by -2

b = 2

You can also deduce that b=2, by realizing to go from -2 to -4, you have to subtract 100% of -2 from -2. This means r=1, so b=1+1, b=2

Anyways, now it's time to solve for a, by plugging in a point as well as b.

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You can verify this by using the other point

-2 = -(2)^1

-2 = -(2)

-2 = -2

So the equation is: f(x)=-2^x

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2 years ago
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