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Katen [24]
3 years ago
15

Which graph represents the function f(x) = 1/3|x|?

Mathematics
2 answers:
slavikrds [6]3 years ago
7 0

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is,

f(x)=\frac{1}{3}|x|

It is a modulus function and its parent function is,

g(x)=|x|

In a function,

f(x)=k|x|

If k>1, then the graph of g(x) stretch vertically and if k<1 then the graph of g(x) compressed vertically.

Since k is \frac{1}{3}, therefore the shoes the vertical compression.

put x=0 in the given function.

f(0)=\frac{1}{3}|0|=0

Put x=3.

f(3)=\frac{1}{3}|3|=1

Therefore the graph passing through (0,0) and (3,1).

Thus fourth option is correct.

Gnom [1K]3 years ago
3 0
Seeing from the graph I've provided above, the correct answer would be D, the last one.

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4 bottles of water cost 10 dollars at a music festival.
TiliK225 [7]

Answer:

7 dollars and 50 cents, price per bottle is 2 dollars (you can get this answer by dividing 10/4) and 50 cents multiply that by 3 and you get the answer, 7 dollars and 50 cents.

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

6 0
3 years ago
Which of the following is equal to 7 1/3?
earnstyle [38]

Answer:

C

Step-by-step explanation:

If the number's a fraction, which this one is, the denominator will always be that little number by the radical, and the whole number will be in the root. Hope this helps!

5 0
3 years ago
Read 2 more answers
A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec
natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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)!}

In this question:

50 parts means that N = 50

4 defective means that k = 4

10 are chosen, which means that n = 10

What is the probability this shipment passes inspection?

Probability that none is defective, so:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968

0.3968 = 39.68% probability this shipment passes inspection.

6 0
3 years ago
Given the triangle below, which of the following equations correctly represents the relationship between a, b, and c?
maxonik [38]

Answer:

C. c^2=a^2+b^2-2abcos(90°)

Step-by-step explanation:

This is the law of cosine.

7 0
3 years ago
Read 2 more answers
Which number-line model represents the sum of 1.25+(-0.75)?
SIZIF [17.4K]

Solution:

<u>A few tips...</u>

  • Tip-1: If "+" and "-" are multiplied, it gives a result of "-".
  • Tip-2: If "-" and "-" are multiplied, it gives a result of "+".
  • Tip-3: If "+" and "+" are multiplied, it gives a result of "-".

<u>Changing the sign of the given equation.</u>

  • 1.25 + (-0.75)
  • => 1.25 - 0.75                                        [Sign changes according to tip-1.]

This could only mean that the arrow would go to <u>1.25 units forward.</u> Then a second arrow will be drawn to go <u>0.75 units back.</u>

The graph that matches with the above info is Option C.

5 0
2 years ago
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