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3 years ago

Graph the set of points. Which model is most appropriate for the set?

1 answer:

6 0

Check the slope between the moving points

slope between (–6, –1) & (–3, 2) = 1 
slope between (-3, 2) & (–1, 4) = 1 
slope between (-1, 4) & (2, 7) = 1 

the points are collinear and make an angle of 45 degrees with the x-axis 

we can have an equation of a line passing through (-6,-1) and slope 1 as 

(y + 1) = 1(x + 6) 
y = x + 5 is your linear model mostly

You might be interested in

Use the rule x + 7 to find the missing number in the table.

dexar [7]

Step-by-step explanation:

Given:

Rule, x + 7.
Table values.

The rule is telling us to add 7 to the given value of x.

Add 7 to 12.

$7 + 12 = 19$

The missing number is 19.

3 0

2 years ago

How to write 6/8 as a decimal ?

Korvikt [17]

all have to do is divide the fraction to make it into a decimal ,

6/8= 0.75

6 0

3 years ago

The Copy Shop has made 20 copies of a document for you. Since the defective rate is 0.1, you think there may be some defective c

Pepsi [2]

Answer:

Binomial

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

Step-by-step explanation:

For each copy of the document, there are only two possible outcomes. Either it is defective, or it is not. This means that we can solve this problem using the binomial probability distribution.

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 combinatios 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

Of the 20 copies, 2 are defective, so $p = \frac{2}{20} = 0.1$ .

What is the probability that you will encounter neither of the defective copies among the 10 you examine?

This is P(X = 0) when $n = 10$ .

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

$P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.3487$

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

8 0

3 years ago

The polynomial function y = x3 -3x2 + 16x - 48 has only one non-repeated x-intercept. What do you know about the complex zeros o

earnstyle [38]

• First way to solve:
We'll manipulate the expression of the equation:

$y=x^3-3x^2+16x-48\\\\ y=x^2(x-3)+16(x-3)\\\\ y=(x-3)(x^2+16)$

If we have y=0:

$x-3=0~~~or~~~x^2+16=0\\\\ x=3~~~or~~~x^2=-16\\\\ x=3~~~or~~~x=\pm\sqrt{-16}\\\\ x=3~~~or~~~x=\pm4i$

Then, the function has one real zero (x=3) and two imaginary zeros (4i and -4i).

Answer: B

• Second way to solve:

The degree of the function is 3. So, the function has 3 complex zeros.

Since the coefficients of the function are reals, the imaginary roots are in a even number (a imaginary number and its conjugated)

The function "has only one non-repeated x-intercept", then there is only one real zero.

The number of zeros is 3 and there is 1 real zero. So, there are 2 imaginary zeros.

Answer: B.

3 0

3 years ago

What is the remainder of 9263 divided by 88?

professor190 [17]

Answer:

105.26

Step-by-step explanation:

6 0

2 years ago