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3 years ago

If the probability that event A takes place is 1/5, what is the probability of event A not

Mathematics

1 answer:

steposvetlana [31]3 years ago

4 0

The probability is 4/5

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What is the parent function of g(x)=-3f(x+2). NEED HELP ASAP.

bezimeni [28]

Answer:

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Step-by-step explanation:

The parent function is the simplest form of the type of function given

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3 years ago

Can someone answer #13, #15, and #16

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4 years ago

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3 years ago

Solve the following quadratic by<br> completing the square.<br> y = x^2 - 6x+7

kozerog [31]

Answer:

$x= 3+\sqrt{2}, \quad x= 3 -\sqrt{2}$

Step-by-step explanation:

<u>Given quadratic equation</u>:

$y = x^2 - 6x+7$

To complete the square, begin by adding and subtracting the square of half the coefficient of the term in x:

$\implies y = x^2 - 6x+\left(\dfrac{-6}{2}\right)^2-\left(\dfrac{-6}{2}\right)^2+7$

$\implies y = x^2 - 6x+\left(-3\right)^2-\left(-3\right)^2+7$

$\implies y = x^2 - 6x+9-9+7$

Factor the perfect square trinomial:

$\implies y=(x-3)^2-9+7$

$\implies y=(x-3)^2-2$

To solve the quadratic, set it to zero and solve for x:

$\implies (x-3)^2-2=0$

$\implies (x-3)^2-2+2=0+2$

$\implies (x-3)^2=2$

$\implies \sqrt{(x-3)^2}=\sqrt{2}$

$\implies x-3= \pm\sqrt{2}$

$\implies x-3+3= 3\pm\sqrt{2}$

$\implies x= 3\pm\sqrt{2}$

Therefore, the solution to the given quadratic equation is:

$x= 3+\sqrt{2}, \quad x= 3 -\sqrt{2}$

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1 year ago

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A student finds the slope of the line between (8,7) and (1,4). She writes 17-4/1-8. What mistake did she make

Ksju [112]

Answer:

It's supposed to be 4-7/1-8

Step-by-step explanation:

The formula for slope is y1 - y2 / x1 - x2 (subscript). So you would take the y value from (8,7) which is 7, and subtract by the y value from (1,4), which is 4. You do the same for the x values and you get 7-4/8-1, which is 3/7.

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3 years ago