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3 years ago

What are the solutions to the equation (x-6)(X + 8) = 0?

Mathematics

2 answers:

dexar [7]3 years ago

6 0

Answer:

The correct option is C....

Step-by-step explanation:

First of all multiply the terms:

(x-6)(x+8)=0

x^2+8x-6x-48=0

Now solve the like terms:

x^2+2x-48=0

Now we will solve this quadratic equation by factoring:

The first terms has coefficient 1. So 1 will be multiplied by the constant term 48.

1*48= 48

Now we have to find out the two values whose product is 48 and whose sum or difference is 2(middle term).

8*6 = 48

8-6 = 2

Now break the middle term:

x^2+8x-6x-48 = 0

Now take the common from the first two and last two terms:

x(x+8)-6(x+8) = 0

(x+8)(x-6)=0

x+8=0 , x-6=0

x= 0-8 , x=0+6

x = -8 , x=6

Thus the solutions we get are: x=6 or x= -8

The correct option is C....

ss7ja [257]3 years ago

5 0

Answer:

c is correct

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

$t=\frac{3.8-4}{\frac{0.5}{\sqrt{15}}}=-1.549$

Step-by-step explanation:

Data given and notation

$\bar X=3.8$ represent the sample mean

$s=0.5$ represent the sample standard deviation for the sample

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$\mu_o =4$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

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Describe how to transform the graph of g(x)= ln x into the graph of f(x)= ln (3-x) -2.

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Answer:

The graph of g(x) = ㏑x translated 3 units to the right and then reflected

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Step-by-step explanation:

* Lets talk about the transformation

- If the function f(x) reflected across the x-axis, then the new

function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

function g(x) = f(-x)

- If the function f(x) translated horizontally to the right

by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left

by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up

by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down

by k units, then the new function g(x) = f(x) – k

* lets solve the problem

∵ Graph of g(x) = ㏑x is transformed into graph of f(x) = ㏑(3 - x) - 2

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∵ ㏑(3 - x) = ㏑(-x + 3)

- Take (-) as a common factor

∴ ㏑(-x + 3) = ㏑[-(x - 3)]

∵ x changed to x - 3

∴ The function g(x) translated 3 units to the right

∵ There is (-) out the bracket (x - 3) that means we change the sign

of x then we will reflect the function about the y-axis

∴ g(x) translated 3 units to the right and then reflected about the

y-axis

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about y-axis

∴ We translate g(x) 2 units down

∴ g(x) translated 3 units to the right and then reflected about the

y-axis and then translated 2 units down

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reflected about the y-axis and then translated 2 units down to

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