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3 years ago

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The function graphed is f(x). What is the function rule? Write the rule in function notation, using the slope-intercept form of

a line. Enter your answer in the box.

1 answer:

VARVARA [1.3K]3 years ago

4 0

The function rule is f (x)=-2/3 × X +3

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Factorise 4a^2+b^2-4ab-8a+4b+4

Dima020 [189]

Answer:

The factorized form of the given expression is $4 [(a-1)^2 - b(a - 1 + \frac{b}{4})]$

Step-by-step explanation:

Given;

4a² + b² - 4ab - 8a + 4b + 4

This expression is factorized as follows;

(4a² - 8a + 4) + (b² - 4ab + 4b)

(4a² - 4a - 4a + 4) + b² - 4b(a - 1)

(4a - 4)(a - 1) + b² - 4b(a - 1)

(4a - 4)(a - 1) - 4b(a - 1) + b²

4(a - 1)(a - 1) - 4b(a - 1) + b²

4(a - 1)² - 4b(a - 1 + b/4)

$4(a- 1)^2 - 4b(a - 1 + \frac{b}{4} )\\\\4 [(a-1)^2 - b(a - 1 + \frac{b}{4})]$

6 0

3 years ago

After Noam transformed the graph of the function f (x)= |x|, the graph's vertex became (0,48), Which sequences of transformation

Pachacha [2.7K]

Answer:

f(x) = |x|+48 would make the vertex be (0,48)

Step-by-step explanation:

Since the y-coordinate changed, this means that only vertical shift could have occured. Therefore, 48 must've been added to |x|.

3 0

3 years ago

An estate of $686,000 is left to three siblings. The eldest receives 2 times as much as the youngest. The middle sibling receive

gregori [183]

Answer:

The oldest gets -> $335,500

The middle gets -> $182,750

The youngest gets -> $167,750

Step-by-step explanation:

<u>Step 1: Make an equation</u>

<em>686,000 = 2y + (15,000 + y) + y</em>

<u>Step 2: Solve for y</u>

686,000 - 15,000 = 2y + 15,000 + y + y - 15,000

671000 / 4 = 4y / 4

<em>167,750 = y</em>

<u>Step 3: Figure the amount of money the middle sibling gets</u>

m = y + 15,000

m = 167,750 + 15,000

<em>m = 182,750</em>

<u>Step 4: Figure the amount of money the oldest sibling gets</u>

o = 2y

o = 2(167,750)

<em>o = 335,500</em>

Answer: The oldest gets -> $335,500

The middle gets -> $182,750

The youngest gets -> $167,750

3 0

3 years ago

Read 2 more answers

Danielle is using 2 quarts of water in a recipe. How many cups of water is she using<br> ?

Papessa [141]

Answer: 8 cups

Step-by-step explanation:

4 cups to 1 quart, so 2 x 4 = 8

5 0

3 years ago

A survey was done that asked people to indicate whether they preferred running outdoors or running indoors. The results of the s

ser-zykov [4K]

Answer:

Option A. Divide 382 by 1027.

Step-by-step explanation:

A survey was done about the people who preferred running indoors and outdoors. Then a two way table was prepared.

Amir is making a relative frequency table.

As we know relative frequency table is prepared by the dividing number of frequency by the total number of students taken in the sample.

Now he will take the data from the given two way table.

People age 30 years and younger were 382 running outdoors and 105 running indoor.

So people having age 30 and below are 382 + 105 = 487

Similarly people Over 30 years old running outdoor and indoor = 299 + 241 = 541

Now Total number of people taken in the sample = 487 + 541 = 1027

So relative frequency for the people of age 30 and younger will be

382/1027 for outdoor and 105/1027 for indoor.

Therefore answer will be Option A. Divide by 382/1027.

3 0

3 years ago