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fiasKO [112]
3 years ago
6

How many ninths does it take to make the same amount as 1/3 and draw a picture to show how it would look im fractions

Mathematics
1 answer:
Lelechka [254]3 years ago
4 0
3/9
because it only takes 1/9, 1/9, 1/9 so you add 1+1+1= 3/9

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Find the MIDPOINT of segment CD, given that C is (3,-5) and D is (7.9).
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Answer:

(5, 2)

Step-by-step explanation:

Midpoint  \: of \:  segment  \: CD \\\\  =  \bigg( \frac{ 3+ 7 }{2},   \:  \:  \frac{-5+9}{2}  \bigg) \\  \\  = \bigg( \frac{ 10 }{2},  \:  \:  \frac{4}{2}  \bigg) \\  \\    = ( 5, \:  \: 2)

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Solve this equation for a: a / 2 = 4 <br> a. 8 <br> b. 2 <br> c. 4 <br> d. 6
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You have to finish the question.

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Which event includes an example of a dependent event? A) A coin is flipped. The result is recorded. The coin is then flipped a s
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Answer:

Part 1)

A

Part 2)

C

Step-by-step explanation:

1)

We are given:

f(x)=5x+1\text{ and } g(x)=x^2-9

And that:

h(x)=f(x)/g(x)

And we want to now for which values of x is h(x) undefined.

So, by substitution:

\displaystyle h(x)=\frac{5x+1}{x^2-9}

Remember that for rational functions, the function will be undefined if and only if the denominator is 0.

This is because we cannot divide by 0.

So, to find the values for which the denominator is 0, set the denominator to 0 and solve for x. Therefore:

x^2-9=0

Add 9 to both sides:

x^2=9

Take the square root of both sides. Since we are taking an even-root, we will need plus/minus. Therefore:

x=\pm 3

So, h(x) is undefined for ±3.

Our answer is A.

2)

We are given:

f(x)=3^x\text{ and } g(x)=3^{2x}-3^x

And we want to find:

h(x)\text{ if } h(x)=f(x)-g(x)

So:

h(x)=3^x-(3^{2x}-3^x)

Distribute:

h(x)=3^x-3^{2x}+3^x

Combine like terms:

h(x)=2(3^x)-3^{2x}

Rewrite:

h(x)=2(3^x)-(3^x)(3^x)

Factor out:

h(x)=3^x(2-3^x)

So, our answer is C.

6 0
3 years ago
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