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3 years ago

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Mathematics

1 answer:

sweet [91]3 years ago

5 0

Answer:

D. Minimum at (3, 7)

Step-by-step explanation:

We can add and subtract the square of half the x-coefficient:

y = x^2 -6x +(-6/2)^2 +16 -(-6/2)^2

y = (x -3)^2 +7 . . . . . simplify to vertex form

Comparing this to the vertex for for vertex (h, k) ...

y = (x -h)^2 +k

We find the vertex to be ...

(3, 7) . . . . vertex

The coefficient of x^2 is positive (+1), so the parabola opens upward and the vertex is a minimum.

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"At most" and "No more than" are both clue words for... a) c)≤ d)≥

polet [3.4K]

Answer:

d) ≤

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

working together it takes two computers 10 minutes to send out a company's email. If it takes the slower computer 30 minutes to

allochka39001 [22]

Answer: it will take the faster computer 15 minutes to do the job on its own.

Step-by-step explanation:

Let t represent the number of minutes it will take the faster computer to do the job on its own. It means that the rate at which it does the job per minute is 1/t

If it takes the slower computer 30 minutes to do the job on its own. It means that the rate at which it does the job on its own per minute is 1/30

By working together, they would work simultaneously and their individual rates are additive. Working together it takes two computers 10 minutes to send out a company's email. It means that the rate at which both computers work together per minute is 1/10 Therefore,

1/t + 1/30 = 1/10

Cross multiplying by 30x, it becomes

3x = x + 30

3x - x = 30

2x = 30

x = 30/2

x = 15 minutes

5 0

3 years ago

The Department of Agriculture is monitoring the spread of mice by placing 100 mice at the start of the project. The population,

uranmaximum [27]

Answer:

Step-by-step explanation:

Assuming that the differential equation is

$\frac{dP}{dt} = 0.04P\left(1-\frac{P}{500}\right)$ .

We need to solve it and obtain an expression for $P(t)$ in order to complete the exercise.

First of all, this is an example of the logistic equation, which has the general form

$\frac{dP}{dt} = kP\left(1-\frac{P}{K}\right)$ .

In order to make the calculation easier we are going to solve the general equation, and later substitute the values of the constants, notice that $k=0.04$ and $K=500$ and the initial condition $P(0)=100$ .