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4 years ago

0.5x + 6 > 3 I don’t know how to solve

Mathematics

1 answer:

Advocard [28]4 years ago

3 0

Answer:

x > -6

Step-by-step explanation:

Move 6 to the other side:

0.5x > -3

x > -6

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3 years ago

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3 years ago

The ordered pairs (2, 20) and (3, 40) are solutions to an exponential function. Write the equation for this function.

weeeeeb [17]

Answer:

The exponential function will be $f(x) = 5(2)^{x}$

Step-by-step explanation:

Let the exponential function is given by $f(x) = a(b)^{x}$ ............ (1)

Now, ordered pairs (2,20) and (3,40) are the solution of the above exponential function. So, they will satisfy the equation.

Now, for the ordered pair (2,20) putting f(2) = 20, we get

$20 = a(b)^{2}$ ............. (2)

Again, for the ordered pair (3,40) putting f(3) = 40, we get

$40 = a(b)^{3}$ ............. (3)

Now, from equations (3) and equation (2) we get,

2 = b

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Now, from equation (2) we get, $20 = a(2)^{2} = 4a$

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Therefore, the exponential function will be

$f(x) = 5(2)^{x}$ (Answer)

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3 years ago

The graph of which function is decreasing over the interval (–4, ∞)? f(x) = (x + 4)2 + 4 f(x) = –(x + 4)2 + 4 f(x) = (x – 4)2 –

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Your post would be clearer if you'd please put each function on its own line:

f(x) = (x + 4)2 + 4

f(x) = –(x + 4)2 + 4

f(x) = (x – 4)2 – 4

f(x) = –(x – 4)2 – 4

Also, use "^2" to denote "squaring." x2 has no meaning.

f(x) = (x + 4)^2 + 4 has a parabolic graph with vertex (-4,4). It increases steadily once x is greater than -4. Reject this choice.

f(x) = –(x + 4)^2 + 4 has a parab. graph with vertex (-4,4) also. It decreases steadily once x is greaster than -4. This is the answer.

Analyze the other 2 possible answers in the same way, please.

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