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mel-nik [20]
3 years ago
12

The graph of a linear function is shown below. What is the domain of the function?

Mathematics
1 answer:
Viktor [21]3 years ago
5 0

Answer:

{ x | -3 <= x < +1 }

Step-by-step explanation:

We note that the graph occupies from x=-3 to x=+1, while -3 is a value included (endpoint is solid), and +1 is excluded (endpoint hollow).

Thus the domain is { x | -3 <= x < +1 }

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5l of 70% alcohol solution was mixed with 9l of pure water what is the concentration of the mixture
ElenaW [278]

The new mixture has a total volume of 5 L + 9 L = 14 L.

70% of the 5 L alcohol solution is alcohol, so that it contributed 3.5 L of alcohol to the mixture. The pure water contributed no alcohol. So in the mixture, the concentration of alcohol is

3.5 L / 14 L = 0.25, or 25%

6 0
3 years ago
In a recent survey, 64 % of the community favored building a police substation in their neighborhood. If 14 citizens are chosen,
kozerog [31]

Answer: 0.1840

Step-by-step explanation:

The binomial probability formula :-

P(X)=^nC_x\ p^x(1-p)^{n-x}, here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.

Given : The probability of the community favored building a police substation in their neighborhood = 0.64

If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-

P(8)={14}^C_{8}\ (0.64)^{8}(1-0.64)^{14-8}\\\\=\dfrac{14!}{8!6!}\times(0.64)^8(0.36)^{6}\\\\0.183996740126\approx0.1840

Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840

5 0
4 years ago
A suppose price per person for an event. If 17 people sign up. And the price per person is 213 what will be the price per person
Alex787 [66]

Answer:

338.28

Step-by-step explanation:

If 17 people sign up the price is 213

We want to khow the price if 27 people sign up

So:

17=> 213

27=> x( the unkhown price)

x= (27*213)/17 = 338.28

3 0
3 years ago
Read 2 more answers
Solve the linear equation.
I am Lyosha [343]
The answer is B

-2x-27/9 = x+4

Multiply both sides by 9 & then simplify

-2x+26=9x+36

Move all terms not containing (x) to the left side

-11x+27=36

-11x=9

Divide each term by 11

X= -9/11
5 0
3 years ago
Read 2 more answers
Which is equivalent to (9y2-4x)(9y2+4x) , and what type of special product is it?
Gennadij [26K]

Answer:

81y^4 - 16x^2, difference of squares.

Step-by-step explanation:

So we need to expand the following product:

(9y2-4x)(9y2+4x) = 9y2*9y2 + 4x*9y2 - 4x*9y2 -4x*4x = 81y^4 - 16x^2

And this type of product is the difference of squares.

8 0
3 years ago
Read 2 more answers
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