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3 years ago

Solve log(base 2) (x+1) + log (base 2) (x-5)= 4

1 answer:

6 0

(x+1)(x-5)= 2^4=16

x^2 -4x -5 =16

x^2-4x-21=0

x= -3 or 7
but we would choose 7 as the answer as -3 gives negative value at (x+1) and we know that log of negative number is not defined.

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A team of scientists is traveling by boat to study a pod, or group, of dolphins. The equation y = 0.2x can be used to find the d

Alenkinab [10]

Answer:

42 minutes.

Step-by-step explanation:

We know that:

y = 0.2*x

is the equation that that defines the distance, in miles, that the boat travels in x minutes.

We know that the dolphins are at 8.4 miles from the boat.

Then when we have y = 8.4, this will mean that the boat reached the dolphins.

Then we need to solve the equation:

y = 8.4 = 0.2*x

for x

To do that, we just need to isolate x in one side of the equation, so we can just divide both sides by 0.2 to get:

8.4/0.2 = (0.2*x)/0.2

42 = x

And x is time in minutes, thus, the boat needs to travel for 42 minutes to reach the dolphins.

6 0

3 years ago

The cost of a service or item is a(n): 1. Expense 2. Income 3. Coupon 4. Budget

miv72 [106K]

The cost of a service or item is an expense

5 0

3 years ago

Problem 11-3 blair & rosen, inc. (b&r) is a brokerage firm that specializes in investment portfolios designed to meet th

Artyom0805 [142]

Linear programming which shows the best investment strategy for the client is Max Z=0.12I +0.09B and subject to constraints are :I+ B<=25000,

0.005 I +0.004B<=250.

Given maximum investment client can make is $55000, annual return= 9%, The investment advisor requires that at most $25,000 of the client's funds should be invested in the internet fund. The internet fund, which is the more risky of the two investment alternatives, has a risk rating of 5 per thousand dollars invested. the blue chip fund has a risk rating of 4 per thousand dollars invested.

We have to make a linear programming problem.

Let

I= Internet fund investment in thousands.

B=Blue chip fund investment in thousands.

Objective function:

Max Z=0.12I+0.09B

subject to following constraints:

Investment amount: I+ B<=25000

Risk Rating: 5/100* I+4/100*B<=250 or 0.005 I +0.004B<=250

I,B>=0.

Hence the objective function is Max Z=0.12 I+ 0.09 B.

Learn more about LPP at brainly.com/question/25828237

#SPJ4

3 0

2 years ago

Which of the following is the algebraic expression that best describes the sequence 3,6,9,12 ?

Novay_Z [31]

I don't see any choices so I am going to give you what I think the answer would be. The rule would be 3x. That would be you could plug any number in and they would give you the sequence. Example:
x = 1
x times 3 = 3.
We could even find future things like:
x = 10
x times 10 = 30.
If we were doing it based on the algebraic expression it would be "multiplication" because we are multiplying. Hope this helped. :)

6 0

3 years ago

Read 2 more answers

Which is bigger 40% of 200 or 1/3 of 150

vladimir2022 [97]

40% of 200 is bigger

5 0

3 years ago