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posledela
2 years ago
6

Louise begins factoring the polynomial, which has four terms.

Mathematics
1 answer:
ad-work [718]2 years ago
5 0

Louise wants to factorize completely the given polynomial 4x^{3}+12x^{2}+5x+15

Grouping first, second terms together and third, fourth terms together

= 4x^{3}+12x^{2}+5x+15

Taking 4x^{2} common from first and second terms of the given expression and taking 5 common from the third and fourth terms.

==4x^{2}(x+3)+5(x+3)

Taking (x+3) common from the given expression,

==(4x^{2}+5)(x+3) is the completely factored form.

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The service time distribution describes the probability P that the service time of the customer will be no more than T hours. If
Molodets [167]

Answer: option d.

Step-by-step explanation:

You have the following formul given in the problem:

p=1-e^{-mt}

You know that:

The number of  customers serviced in an hour by the technical support representative is 6 costumbers, therefore:

m=6

As the problem asked for the probability that  a costumber will be on hold less than 30 minutes, we know that:

t=0.5

Substitute the values above into the formula.

Then, you obtain:

p=1-e^{-(6)(0.5)}=0.95 or 95%

7 0
2 years ago
You sell sporting goods. Your wages depend on the value of your sales. One week you sold $3,500 in sporting goods, earning $950.
Semmy [17]

Answer:

y = 0.2x + 250

Step-by-step explanation:

let the sales be x and y be earnings

thus,

given

x₁ = $3,500 ; y₁ = $950

and,

x₂ = $2,800 ; y₂ = $810

Now,

the standard line equation is given as:

y = mx + c

here,

m is the slope

c is the constant

also,

m = \frac{y_2-y_1}{x_2-x_1}

or

m = \frac{810-950}{\textup{2,800-3,500}}

or

m = 0.2

substituting the value of 'm' in the equation, we get

y = 0.2x + c

now,

substituting the x₁ = $3,500 and y₁ = $950 in the above equation, we get

$950 = 0.2 × $3,500 + c

or

$950 = $700 + c

or

c = $250

hence,

The equation comes out as:

y = 0.2x + 250

7 0
2 years ago
How many terms in the arithmetic sequence(2,4,6,8....) will give sum of 600
andriy [413]

Answer:

  24 terms

Step-by-step explanation:

The sum of an arithmetic sequence is the average of the first and last terms, multiplied by the number of terms. The last term is given by ...

  an = a1 + (n-1)d

We have a sequence with first term a1 = 2 and common difference d = 2. So the last term is ...

  an = 2+ 2(n -1) = 2n

Then the average of first and last terms times the number of terms is ...

  Sn = 600 = n(2 + 2n)/2 = n(n+1) . . . . . . close to n²

We can solve the quadratic in n, or we can estimate the value of n as the integer just below the square root of 600.

  √600 ≈ 24.5

so we believe n = 24.

_____

<em>Check</em>

  S24 = 24·25 = 600 . . . . . . as required.

8 0
2 years ago
the flag of the bahamas includes an equilateral triangle. the perimeter of the triangle is p=3s, where s is the side length. use
padilas [110]

Answer:

345

Step-by-step explanation:

3!

7 0
2 years ago
Based on this data, what is a reasonable estimate of the probability that Nate scores 8-11 points next basketball game? Experime
Grace [21]

Answer:

8/25

Step-by-step explanation:

8 0
2 years ago
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