MATHEMATICS MIDDLE SCHOOL

The function f(x) is shown on the provided graph. Graph the result of the following transformation on f(x).

Answers

Answer 1

Answer:

Answer:

Observe the attached image

Step-by-step explanation:

We have the graph of a line that passes through the points (0,5) and (2, 1).

The equation of the line that passes through these points is found in the following way:

$y = mx + b$

Where

m = slope

$m = \frac {y_2-y_1}{x_2-x_1}\n\nm = (1-5)/(2-0)\n\nm = -2\n\nb = y_2-mx_2\n\nb = 1 -(-2)(2)\n\nb = 5$

$y = -2x + 5$

We must apply to this function the transformation $f (x-4)$ .

We know that a transformation of the form

$y = f (x + h)$ shifts the graph of the function f(x) h units to the right if $h <0$ , or shifts the function f(x) h units towards the left if $h> 0$ .

In this case $h = -4 <0$ then the transformation $f(x-4)$ displaces the graph 4 units to the right.

Therefore if f(x) passes through the points (0,5) and (2,1) then $f (x-4)$ passes through the points (4, 5) (6, 1)

And its equation is:

$y = -2(x-4) +5\n\ny = -2x +13$

Observe the attached image

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choose two additional data values for the given data set so that the given data set is true A. the median is 8 4,12,14,10_,_ B. The median is 11 4,12,14,10,_,_ C. The mean is 10 4,12,14,10,_,_

Answers

first step in finding the median is ordering the numbers 1. 4,10,12,14. Then you find out the number in the middle.
step 1: 4,10,12,14
step 2: now, take out the first number so 10,12,14
Step 3: now take out the last number so 10,12
step 4: since there are two middle numbers, you average them. If you didn't know already, all you have to do to average them is add the two numbers together then divide them by two so 10+12=22 /2=11
now you want to find two numbers that if averaged with 11, make 8. so you could do two . final answer is 4,5,5,10,12,14

1. 4,12,14,10,5,5
2. 4,12,14,10,12,10

now mean is just average so what you would do is just add all your numbers up and divide by the amount of numbers you added.

3.4,12,14,10,9,9

carol makes 9 1/3 cups of snack mix. she puts 2/3 cupof the snack mix into plastic bags does carol need?

Answers

9 1/3 is the same as 28/3. 2/3 can go into 28/3 14 times (14*2=28), so she needs 14 plastic bags.

Evaluate 3/5 - 3/10 and explanation thanks

Answers

It would be 3/10 because you have to create a common denominator. That would be 10. 3x2=6 and 5x2=10, so 3/5 would become 6/10, which is equivalent. If you kept the denominators the same and subtracted the numerators, you would get 3/10.

According to the table listing average daily expenses for a tourist by country based on high and medium categories, Brazil has a range from $12.25 to $18.33, and Greece has a range from $9.48 to $16.55. Which of the two countries has the larger difference between categories?

Answers

Answer:

Greece has the larger difference between categories

Step-by-step explanation:

Difference in categories of Brazil

$= 18.33 - 12.25\n= 6.08\n$

Difference in categories of Greece

$= 16.55 - 9.48\n= 7.07\n$

Thus, Greece has the larger difference between categories

Answer:

Greece had a larger difference ($7.07)

Step-by-step explanation:

Brazil -

18.33 - 12.25 = 6.08

Greece-

16.55 - 9.48 = 7.07

Mr. Anderson drove 168 miles in 3.5 hours. He then drove the next 2.25 hours at a rate of 5 miles an hour faster than the first rate. How many miles did Mr. Anderson drive during the 5.75 hours?