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asambeis [7]
3 years ago
9

Common factor: 3x^2y^2z^2+5xyz—8x^2

Mathematics
1 answer:
Elza [17]3 years ago
3 0

Answer:

x

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

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Show all work to identify the asymptotes and zero of the faction f(x) = 4x/x^2 - 16.
Reptile [31]

Answer:

  • asymptotes: x = -4, x = 4
  • zeros: x = 0

Step-by-step explanation:

The vertical asymptotes of the rational expression are the places where the denominator is zero:

  x^2 -16 = 0

  (x -4)(x +4) = 0 . . . . . true for x=4, x=-4

  x = 4, x = -4 are the equations of the vertical asymptotes

__

The zeros of a rational expression are the places where the numerator is zero:

  4x = 0

  x = 0 . . . . . . divide by 4

5 0
3 years ago
What is the slope of the line?
Lapatulllka [165]

Answer:

16 hope dat helps

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The point (-3, 4) is on the line x+4y=13.
lys-0071 [83]

Answer:

yes

Step-by-step explanation:

To determine if the point lies on the line substitute the coordinates into the left side of the equation and if equal to the right side then the point lies on the line

- 3 + (4 × 4) = - 3 + 16 = 13 = right side

Hence (- 3, 4) lies on the line x + 4y = 13

5 0
3 years ago
A real estate agent has 14 properties that she shows. She feels that there is a 50% chance of selling any one property during a
Ratling [72]

Answer:

91.02% probability of selling more than 4 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either it is sold, or it is not. The chance of selling any one property is independent of selling another property. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 14, p = 0.5

Compute the probability of selling more than 4 properties in one week.

Either you sell 4 or less properties in one week, or you sell more. The sum of the probabilities of these events is decimal 1. So

P(X \leq 4)  + P(X > 4) = 1

We want to find P(X > 4). So

P(X > 4) = 1 - P(X \leq 4)

In which

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{14,0}.(0.5)^{0}.(0.5)^{14} = 0.000061

P(X = 1) = C_{14,1}.(0.5)^{1}.(0.5)^{13} = 0.000854

P(X = 2) = C_{14,2}.(0.5)^{2}.(0.5)^{12} = 0.0056

P(X = 3) = C_{14,3}.(0.5)^{3}.(0.5)^{11} = 0.0222

P(X = 4) = C_{14,4}.(0.5)^{4}.(0.5)^{10} = 0.0611

So

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.000061 + 0.000854 + 0.0056 + 0.0222 + 0.0611 = 0.0898

Finally

P(X > 4) = 1 - P(X \leq 4) = 1 - 0.0898 = 0.9102

91.02% probability of selling more than 4 properties in one week.

8 0
3 years ago
If the perimeter of a rectangle is 42 cm and the area is 98 square cm, then what are the dimensions of the rectangle?
Natalka [10]

we are given that the perimeter of the rectangle is 42cm

the formula for the perimeter of the rectangle is 2(l+b)

where l= length and b=breadth

so,

equating the above two equations we get

2(l+b)=42

(l+b)=42/2

l+b=21..........................(1)

we are given the area of the rectangle to be 98sq cm

the formula for the area of the rectangle is l*b.

so,

equating the above two equations we get

l*b=98

l=98/b

equating the above equation in equation 1 in we get,

98/b +b=21

(98+b²)/b=21

98+b²=21b

b²- 21b + 98 = 0

(b-7)(b-14)=0

thus we have

b-7=0

b=7

and

b-14=0

b=14

equating both the values of b in equation (1)

when b=7

l+b=21

l+7=21

l=21-7

l=14

and

when b=14

l+b=21

l+14=21

l=21-14

l=7

since breath, can't be longer than length, thus b=7 and l=14.

thus the rectangle has a length of 14 cm and a breath of 7cm

Define the length and breadth/width of a rectangle.

Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's length is its longer side, while its width is its shorter side.

to learn more about parameters and areas visit:

brainly.com/question/19819849

#SPJ9

7 0
1 year ago
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