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2 years ago

Which absolute value function defines this graph?

Mathematics

2 answers:

bixtya [17]2 years ago

6 0

The first one because it has a negative slope (which is -4) and h is always the opposite while k stays the same. By the way h is the 2 and k is the 3

Sliva [168]2 years ago

4 0

Answer:

A. $f(x)=-4|x+2|+3$

Step-by-step explanation:

We have been given an image of an absolute function. We are asked to find the formula for our given absolute function.

The formula of parent absolute function is $f(x)=|x|$ with vertex at (0,0)

We can see that the vertex of our given function is at $(-2,3)$ . This means that our function is shifted to left by 2 units. We can represent this information as: $f(x)=|x--2|=|x+2|$

We can also see that our graph is reflected across x-axis, so after reflection our function would be $f(x)=-|x+2|$

We can see that our graph is shifted upwards by 3 units, so graph after shifting would be $f(x)=-|x+2|+3$ .

Our graph is stretched vertically by a scale factor of 4, so after stretching our function would be $f(x)=-4|x+2|+3$ .

Therefore, option A is the correct choice.

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Conditional Probability Assistance?

krek1111 [17]

Let the event $A=\{ Sophomore \}, B=\{ Boy \}$

The the probability of the events

$P(A \cap B)=\frac{5}{12+18} =\frac{1}{6}$

$P( B)=\frac{12}{12+18} =\frac{2}{5}$

The conditional probability

$P(Sophomore|Boy)=P(A|B)=\frac{P(A \cap B)}{P(B)} =\frac{1/6}{2/5} =\frac{5}{12}$

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2 years ago

The student council had a canned food drive. they collected a total of 63 cans on wednesday. this is 21% of the total. how many

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2 years ago

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Answer:

196 miles

Step-by-step explanation:

if he goes 140 miles with 5 gallons, each gallon lets him go 28 miles.

140miles/5gallons=28miles/1gallon

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7 0

2 years ago

There are 30 students in a class, including 16 boys. The ratio of girls to boys would be 7 over 8.

Genrish500 [490]

Answer:

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Step-by-step explanation:

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2 years ago

Suppose three players go on multiple rounds of kart race. In each round, every player has a winning probability of 1/3, independ

zepelin [54]

Answer:

a) 0.3246

b) 0.0043

Step-by-step explanation:

For player 1 ; Probability of winning = P(W) = 1/3

Probability of loosing; P(winning) + P( Loosing) = 1

P(L) = 1 - 1/3 = 2/3

a) To find Find P(N <= 10) = P(2)+P(3)+P(4)+P(5)+P(6)+P(7)+P(8)+P(9)+P(10)

= (1/3)^2 + (1/3)^2 x 2/3 + (1/3)^2 x (2/3)^2 + (1/3)^2x (2/3)^3 + (1/3)^2 x (2/3)^4

X (1/3)^2 x (2/3)^5 + (1/3)^2 x (2/3)^6 + (1/3)^2 x (2/3)^7 + (1/3)^2 x (2/3)^8

= 0.3246

b) Find P(N = 10) = (1/3)^2 x (2/3)^8 = 0.0043

7 0

2 years ago