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2 years ago

2/3(6x−12)=8+□(2x−4)

Mathematics

1 answer:

rosijanka [135]2 years ago

5 0

Answer:

-6

Step-by-step explanation:

one side of the equation is equaled to 4x-8 after you distribute the 2/3 so to make them equal you need a 2 on the other side 8-6 is 2

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Let f be the function given by f(x)= (x-1)(x^2-4)/x^2-a. For what positive values of a is f continuous for all real numbers x?

9966 [12]

Answer:

a =1 and a=4.

Step-by-step explanation:

The function is

$f(x)=\frac{(x-1)(x^2-4)}{x^2-a}$

If we want f(x) to be continuous the denominator needs to be different to 0, otherwise f(x) will be indeterminate.

Now, for a a positive real we have that $x=\sqrt{a}$ will annulate the denominator, i.e

$(\sqrt{a})^2-a = a-a = 0$ . But, if a = 1 we have:

$f(x)=\frac{(x-1)(x^2-4)}{x^2-1} = \frac{(x-1)(x^2-4)}{(x-1)(x+1)}=\frac{(x^2-4)}{x+1}$

so, the value $x=\sqrt{a} = \sqrt{1} = 1$ won't annulate the denominator.

Now, for a = 4 we have:

$f(x)=\frac{(x-1)(x^2-4)}{x^2-4} = x-1$

so, the value $x=\sqrt{a} = \sqrt{4} = 2$ won't annulate the denominator.

In conclusion, for a=1 or a=1, the function will be continuos for all real numbers, since the denominator will never be 0.

4 0

3 years ago

Write a linear equation given the point and slope or two points.

attashe74 [19]

Answer:

1) y = -2x - 1

2) y = -3/4 + 3

3) y = 4x + 9

4) y = - 5/3x - 2

Step-by-step explanation:

b = y - m*x

1) (-7,13) and slope: -2

b = 13 - (-2)*(-7)

b = 13 - 14

b = -1

2) (4,6) lope = -3/4

b = 6 - (-3/4)*(-4)

b = 6 - 3

b = 3

y = -3/4x + 3

3) (-5,-11) and (3,-7)

Slope: (1 - - 11)/(-2 - - 5) = 12/3

= 4

b = -11 - (4) (-5) = 9

b = 9

4) slope = (-7 - 8)/(3- - 6)

= -15/9 = - 5/3

b = 8 - (-5/3)*(-6)

b = 8 - 10

b = -2

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2 years ago

Mr. Curry puts $5,500 in an investment account that offers 8% interest compounded annually. He makes no additional deposits or w

aalyn [17]

Answer:

B.$12,100.00

Step-by-step explanation:

it is a pleasure to help you hope you understand if you have a question you can ask me or send me a help request.good luck.

3 0

2 years ago

The radius of a circle is 2 units. What is the diameter of the circle?

Ann [662]

Answer:

4units

Step-by-step explanation:

diameter is twice the radius

8 0

3 years ago

Read 2 more answers

2) d-e- and p = Evaluate (2e - d) 2f A) 24 B) 1 D)

MariettaO [177]

Answer:

i dont no

Step-by-step explanation:

you may solve by u

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2 years ago