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3 years ago

This table represents a function plot the points to represent the function as a graph

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

6 0

Answer:

The graph in the attached figure N 2

Step-by-step explanation:

The complete question in the attached figure N 1

we have the ordered pairs

(-4,9),(-1,3),(0,1),(2,-3)

Using a graphing tool

Plot the given ordered pairs in the coordinate plane

Remember that

In a ordered pair (x,y), the first coordinate is the location of the point in the x-axis and the second coordinate is the location of the point in the y-axis

see the attached figure

The graph represent a line

Find the equation of the line

Find the slope

take two points

$(0,1),(2,-3)\\m=(-3-1)/(2-0)=-2$

The equation of the line in slope intercept form is equal to

$y=mx+b$

we have

$m=-2\\b=1$

substitute

$y=-2x+1$

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Evaluate the expression when x = 3. x² + 6x - 3

Black_prince [1.1K]

Answer:

X=3

${3}^{2} + 6(3) - 3 \\ 9 + 18 - 3 \\ 27 - 3 \\ = 24$

3 0

2 years ago

ABC Auto Insurance classifies drivers as good, medium, or poor risks. Drivers who apply to them for insurance fall into these th

Misha Larkins [42]

Answer:

a. $P(E_1/A)=0.0789$

b. $P(E_2/A)=0.395$ \

c. $P(E_3/A)=0.526$

Step-by-step explanation:

Let $E_1,E_2,E_3$ are the events that denotes the good drive, medium drive and poor risk driver.

$P(E_1)=0.30,P(E_2)=0.50,P(E_3)=0.20$

Let A be the event that denotes an accident.

$P(A/E_1)=0.01$

$P(A/E_2=0.03$

$P(A/E_3)=0.10$

The company sells Mr. Brophyan insurance policy and he has an accident.

a.We have to find the probability Mr.Brophy is a good driver

Bayes theorem, $P(E_i/A)=\frac{P(A/E_i)\cdot P(E_1)}{\sum_{i=1}^{i=n}P(A/E_i)\cdot P(E_i)}$

We have to find $P(E_1/A)$

Using the Bayes theorem

$P(E_1/A)=\frac{P(A/E_1)\cdot P(E_1)}{P(E_1)\cdot P(A/E_1)+P(E_2)P(A/E_2)+P(E_3)P(A/E_3)}$

Substitute the values then we get

$P(E_1/A)=\frac{0.30\times 0.01}{0.01\times 0.30+0.50\times 0.03+0.20\times 0.10}$

$P(E_1/A)=0.0789$

b.We have to find the probability Mr.Brophy is a medium driver

$P(E_2/A)=\frac{0.03\times 0.50}{0.038}=0.395$

c.We have to find the probability Mr.Brophy is a poor driver

$P(E_3/A)=\frac{0.20\times 0.10}{0.038}=0.526$

7 0

3 years ago

Which of the following is the inverse y=3x

Nitella [24]

To find an inverse, switch the x and the y and solve for the new y. Yours switched is x = 3y. Now solving for y we divide both sides by 3 to get y = x/3

3 0

2 years ago

Wendy’s offers eight different condiments (mustard, catsup, onion, mayonnaise, pickle, lettuce, tomato, and relish) on hamburger

julsineya [31]

Answer:

Check the explanation

Step-by-step explanation:

Conclusion: young people like condiments.

First, let's convert things into percentages, since the number in each age category is different. There are 143 in "Under 18", 233 in "18 to 40", 161 in "40 to 60", and 122 in "over 60".

Of the under 18s: 71 of 143 = 49.7% order three or more.

Of the 18-40s: 87 of 233 = 37.3% order three or more.

Of the 40-60s: 47 of 161 = 29.2% order three or more.

Of the 60 and ups: 28 of 122 = 23.0% order three or more.

The older you are, the less likely you are to order lots of condiments.

4 0

2 years ago

PLEASE HELP Solve |10x + 15| >= 105

yan [13]

$|10x + 15| \geq 105\\
 5|2x + 3| \geq 105\\
|2x+3|\geq21\\
2x+3\geq21 \vee 2x+3\leq-21\\
2x\geq 18\vee2x\leq-24\\
x\geq9 \vee x\leq-12\\
x\in(-\infty,-12\rangle\cup\langle9,\infty)$

8 0

3 years ago