Ask question

Ask question

All categories

Bad White [126]

3 years ago

13

HELP NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

2 answers:

Vladimir79 [104]3 years ago

8 0

F(x) = 50,000 (0.8)^x

⇒ y = 50,000 (0.8)^x
⇒ log y = log 50,000 + x log 0.8
⇒ x log 0.8 = log y - log 50,000 = log (y/50,000)
⇒ x = log(y/50,000) / log 0.8
⇒ x = log0.8(y/50,000)

<span>⇒ f^-1(x)=log0.8(x/50,000)

Answer is D

Hope it helps!

</span>

Umnica [9.8K]3 years ago

6 0

I think that it is B because I'm pretty sure it has to be log of 50,000. But I forgot how to get the rest of it but B is the only one with log of 50k.

You might be interested in

I’m Really lost if I could get a answer it would be greatly appreciated

Nataly [62]

<h3>Answers:</h3>

$f(g(x)) = \sqrt{x^2+5}+5\\\\g(f(x)) = x+30+10\sqrt{x-1}$

================================================

Work Shown:

Part 1

$f(x) = \sqrt{x-1}+5\\\\f(g(x)) = \sqrt{g(x)-1}+5\\\\f(g(x)) = \sqrt{x^2+6-1}+5\\\\f(g(x)) = \sqrt{x^2+5}+5\\\\$

Notice how I replaced every x with g(x) in step 2. Then I plugged in g(x) = x^2+6 and simplified.

------------------

Part 2

$g(x) = x^2+6\\\\g(f(x)) = \left(f(x)\right)^2+6\\\\g(f(x)) = \left(\sqrt{x-1}+5\right)^2+6\\\\g(f(x)) = \left(\sqrt{x-1}\right)^2+2*5*\sqrt{x-1}+\left(5\right)^2+6\\\\g(f(x)) = x-1+10\sqrt{x-1}+25+6\\\\g(f(x)) = x+30+10\sqrt{x-1}\\\\$

In step 4, I used the rule (a+b)^2 = a^2+2ab+b^2

In this case, a = sqrt(x-1) and b = 5.

You could also use the box method as a visual way to expand out $\left(\sqrt{x-1}+5\right)^2$

6 0

3 years ago

can someone help me with this I have to do like 18 other questions so if you can help me with those I would appreciate it!

GenaCL600 [577]

Answer:

see below

Step-by-step explanation:

1.)

(0, 4)

(1, 7)

$\frac{7-4}{1-0} = 3$

y = 3x + b

(4) = 3(0) + b

b = 4

y = 3x + 4

Rate of change: 3 initial value: 4

2.)

(0, -5)

(1, -3)

$\frac{-3-(-5)}{1-0} = 2$

y = 2x + b

(-5) = 2(0) + b

b = -5

Rate of change: 2 initial value: -5

4 0

2 years ago

given directed line segment AB find the coordinates of p such that the ratio of ap to pb is 2:1 plot point p

murzikaleks [220]

Answer:

$P(\frac{10}{3}, \frac{-2}{3})$

Step-by-step explanation:

The question is incomplete; However

$A = (-2, -4)$

$B = (6, 1)$

Required

Determine coordinates of P

When line segment is divided in ratios, the following formula calculates the coordinates;

$P(x,y) = \{\frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n}\}$

In this case;

$m:n = 2:1$

$(x_1,y_1) = (-2, -4)$

$(x_2,y_2) = (6, 1)$

So, the coordinates of P is calculated as thus

$P(x,y) = \{\frac{2 * 6 + 1 * (-2)}{2+1}, \frac{2 * 1 + 1 * (-4)}{2+1}\}$

$P(x,y) = \{\frac{12 -2}{3}, \frac{2 -4}{3}\}$

$P(x,y) = \{\frac{10}{3}, \frac{-2}{3}\}$

Hence, the coordinates of P is

$P(\frac{10}{3}, \frac{-2}{3})$

3 0

3 years ago

Write and evaluate the expression. Then, complete the

tatuchka [14]

Answer: p-5 substitute simplify subtracting 2

Step-by-step explanation:

Put them in that order

3 0

2 years ago

Read 2 more answers

If sin A = 4/5 and A is in quadrant II, find tan 2A.

ra1l [238]

The value of tan2A given the trig expression is -128/21

<h3>Double angles</h3>

According to the double angle formula

tan 2A = 2tanA/1-tan²A

Given the following

sinA = 4/5 = opp/hyp

Tangent = 3units

TanA = opp/adj

TanA = 4/3

Substitute

Tan2A = 2(4/3)/1-(4/3)²

Tan2A = (8/3)/1-(16/9)

Tan2A = 8/3 * -16/7

Tan2A = -128/21

Hence the value of tan2A given the trig expression is -128/21

Learn more on double angle here: brainly.com/question/14691

#SPJ1

7 0

1 year ago