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Tomtit [17]
3 years ago
9

Here is a table of values y=f(x).

Mathematics
1 answer:
Mariulka [41]3 years ago
4 0

A. <u>False.</u> The range of f(x) is the set of values it can produce. In the table, f(x) produces values from 0 to 3. However, the range of all real numbers is all rational numbers, basically from -\infty to \infty, not just a few numbers in-between. So, the range of f(x) is not all real numbers.

B.  <u>True.</u> Looking at the table, when x=-3, f(x)=2. This is another way of saying that f(-3)=2, which is what B is saying.

C. <u>True.</u> The domain of f(x) is the set of values of x that produce some output in f(x). Looking at the table, all of the x values listed on it are in the set \{-5, -3, 0, 2, 6, 7, 9, 10, 13\}, which is what C is saying.

D. <u>False.</u> Looking at the table, when x=0, f(x)=3. This is another way of saying that f(0)=3, which is <em>not </em>what B is saying.

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Step-by-step explanation:

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Is y=7x+12 linear or nonlinear?
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Yes, I think it is

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8 0
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Alana biked 12 miles in 48 minutes. What is Alana's speed in miles per minute?
marusya05 [52]
Question:- Alana biked 12 miles in 48 minutes. What is Alana's speed in miles per minute?

Answer:-

Set up a proportion.

12/48 = 1/x

Cross multiply.

12*x = 12x
48*1 = 48

12x = 48

12x/12 = 48/12 

x= 48/12
x= 4

Now, we have our final answer. x = 4

Final answer:- Alana bikes 4 miles per minute. 

6 0
4 years ago
Two types of defects are observed in the production of integrated circuit boards. It is estimated that 6% of the boards have sol
aalyn [17]

Answer:

(a) 0.09

(b) 0.06

(c) 0.0018

(d) 0.9118

(e) 0.03

Step-by-step explanation:

Let <em>A</em> = boards have solder defects and <em>B</em> = boards have surface defects.

The proportion of boards having solder defects is, P (A) = 0.06.

The proportion of boards having surface-finish defects is, P (B) = 0.03.

It is provided that the events A and B are independent, i.e.

P(A\cap B)=P(A)\times P(B)

(a)

Compute the probability that either a solder defect or a surface-finish defect or both are found as follows:

= P (A or B) + P (A and B)

=P(A)+P(B)-P(A\cap B)+P(A\cap B)\\=P(A)+P(B)\\=0.06+0.03\\=0.09

Thus, the probability that either a solder defect or a surface-finish defect or both are found is 0.09.

(b)

The probability that a solder defect is found is 0.06.

(c)

The probability that both defect are found is:

P(A\cap B)=P(A)\times P(B)\\=0.06\times0.03\\=0.0018

Thus, the probability that both defect are found is 0.0018.

(d)

The probability that none of the defect is found is:

P(A^{c}\cup B^{c})=1-P(A\cup B)\\=1-P(A)-P(B)+P(A\cap B)\\=1-P(A)-P(B)+[P(A)\times P(B)]\\=1-0.06-0.03+(0.06\times0.03)\\=0.9118

Thus, the probability that none of the defect is found is 0.9118.

(e)

The probability that the defect found is a surface finish is 0.03.

6 0
3 years ago
Help me with this!!!
gulaghasi [49]

Answer: (3,3)

Midpoint formula = (\frac{x1+x2}{2} , \frac{y1+y2}{2})

6 + 0 / 2 = 2

1 + 5 / 2 = 7

3 0
3 years ago
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