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2 years ago

Which ordered pair is generated from the equation below? y = x - 2 A. (5, 7) B. (7, 14) C. (7, 9) D. (5, 3)

Mathematics

1 answer:

TiliK225 [7]2 years ago

6 0

Answer:

(5,3)

Step-by-step explanation:

If you graph the equation $y=x-2$ and plot all the points given as options, you can see that (5,3) lies on the line, while all others don't. This means that option D (5,3) would get generated by the equation.

Another way to do this is to substitute 'x' and 'y' for the points given. If they satisfy the equation, then it would be correct.

<h3>Option A (5,7):</h3>

$7=5-2\\\boxed{7\neq3}$

Option A is incorrect.

<h3>Option B (7,14):</h3>

$14=7-2\\\boxed{14\neq5}$

Option B is incorrect.

<h3>Option C (7,9):</h3>

$9=7-2\\\boxed{9\neq5}$

Option C is incorrect.

<h3>Option D (5,3):</h3>

$3=5-2\\\boxed{3=3}$

Option D is correct.

Option D should the the correct answer.

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Which graph represents the exponential function below f(x)=5(3)^x-1

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Answer:

Given Exponential Function is :

$f(x)=5\times3^x-1$

We have check which graph represent given Exponential Function,

let, $y=5\times3^x-1$

Put x = 0, we get

$y=5\times3^0-1$

y = 5 × 1 - 1 = 4

One of the passing through point = ( 0 , 4 )

Now, Put y = 0, we get

$0=5\times3^x-1$

$3^x=\frac{1}{5}$

$log\,(3^x)=log\,(0.2)$

$x\:log\,3=log\,0.2$

$x=\frac{log\,0.2}{log\,3}$

x = -1.465

Another passing through point is ( -1.465 , 0 )

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Correct Graph is attached.

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mixas84 [53]

Answer:

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Step-by-step explanation:

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3 years ago

Suppose a basketball player has made 223223 out of 406406 free throws. If the player makes the next 22 free throws, I will pay y

makkiz [27]

Answer:

Expected value E = $0.45

Step-by-step explanation:

Expected value E = P×w - P'×l

Where;

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Substituting the values;

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3 years ago