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2 years ago

F(x) = 3 - 2x and g(x) = 1/X+5 what is the value of (f/g)(8)

Mathematics

1 answer:

Nina [5.8K]2 years ago

8 0

9514 1404 393

Answer:

(f/g)(8) = -104/41

Step-by-step explanation:

Fill in the value for x and do the arithmetic.

f(8) = 3 -2·8 = 3 -16 = -13

g(8) = 1/8 +5 = (1+40)/8 = 41/8

Then the ratio is ...

(f/g)(8) = f(8)/g(8) = -13/(41/8) = -13(8)/41

(f/g)(8) = -104/41

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carbon-14 has a half-life of 5730 years. The formula f(t)=(1/2)^t/5730 give the percentage of carbon-14 left in the item after t

andreyandreev [35.5K]

Heyy sorry I need the points

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2 years ago

What's the answer to #9

zavuch27 [327]

50=t/2+8
50-8=t/2
42=t/2
2×42=t
84=t

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50= 42+8
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7 0

3 years ago

Read 2 more answers

Find a and b so that f(x) = x^3 + ax^2 + b will have a critical point at (2,3).

Digiron [165]

Using the critical point concept, it is found that a = -3 and b = 7.

<h3>What are the critical points of a function?</h3>

The critical points of a function are the values of x for which:

$f^{\prime}(x) = 0$

In this problem, the function is:

$f(x) = x^3 + ax^2 + b$

Hence, the derivative is:

$f^{\prime}(x) = 3x^2 + 2ax$

Then:

$f^{\prime}(x) = 0$

$3x^2 + 2ax = 0$

$x(3x + 2a) = 0$

$x = 0$

$3x + 2a = 0$

$3x = -2a$

$x = -\frac{2a}{3}$

Since the critical point is at x = 2, we have that:

$-\frac{2a}{3} = 2$

$-2a = 6$

$2a = -6$

$a = -3$

Then:

$f(x) = x^3 - 3x^2 + b$

Critical point at (2,3) means that when $x = 2, y = 3$ , then:

$3 = 2^3 - 3(2)^2 + b$

$8 - 12 + b = 3$

$b = 7$

You can learn more about the critical point concept at brainly.com/question/2256078

4 0

1 year ago

Complete the square and write the quadratic equation in vertex form please show steps

nasty-shy [4]

Answer:

Square: $(x-10)^{2} -68$

Vertex: (10,-68)

Step-by-step explanation:

5 0

2 years ago

Corinna's cell phone bill was $52.75 in July.

rodikova [14]

Answer:

The answer is 21.10

Explanation:

If her bill in July was $52.75 and her bill in August was only 60% of July

60% of 52.75 is 31.65

and they asked how much more she paid:

52.75-31.65 = 21.10

hope this helps!

7 0

2 years ago