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2 years ago

Which of the following functions is graphed below?

Mathematics

1 answer:

kvv77 [185]2 years ago

4 0

Using translation concepts, it is found that the function graphed is defined by:

D. y = |x - 2| + 3.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the function has the format of the absolute value function, y = |x|, which has vertex at (0,0). Here, the vertex is at (2,3), that is, the function was shifted:

2 units to the right, that is, x -> x + 2.

3 units up, that is, y -> y + 3.

Hence the definition is given by:

D. y = |x - 2| + 3.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

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6. A pitcher has 16 cups of water in it. During the day, Aditi drank 5⁄2 cups, Kavitha drank 15⁄4 cups, and Rahul drank 33⁄8 cup

Crank

Answer:

A. Aditi 2 1/2 cups, Kavitha 3 3/4 cups, and Rahul 4 1/8 cups

Step-by-step explanation:

2*2=4 5-4=1 2 1/2

3*4=12 15-12=3 3 3/4

4*8-32 33-32=1 4 1/8

4 0

3 years ago

A school chorus has 60 sixth-grade students and 48 seventh-grade students. The music director wants to make groups of performers

san4es73 [151]

60/48
Both can be reduced by 12 to 5/4
So you can have 12 groups with 5 6th graders and 4 7th graders

3 0

3 years ago

Which statement is true regarding the graphed functions? ((help please :,)

rjkz [21]

The answer is F(-2)=G(-2) . Even tho they aren’t actual coordinates on the graph they are the points where the two lines intersect

8 0

3 years ago

Help me pleasee (10 points)

Montano1993 [528]

Answer:

Step-by-step explanation:

Givens

a^2 + b^2 = c^2

a = 4x

b = x + 2

c = 3x + 4

Solution

(4x)^2 + (x + 2)^2 = (3x + 4)^3 Remove all the brackets.

16x^2 + x^2 + 4x + 4 = 9x^2 + 24x + 16 Collect like terms on the left

17x^2 + 4x + 4 = 9x^2 + 24x + 16 Subtract the terms on the right

8x^2 - 20x - 12 = 0

This factors into

(4x - 12)(2x + 1)

There are 2 answers

4x - 12 = 0

4x = 12

x = 12/4

x = 3

2x + 1 = 0

2x = - 1

x = - 1/2

You have to look at x = -1/2 carefully. The problem is that 4x = 4*(-1/2) = - 2 which is not possible in Euclidean Geometry.

So the only answer is x = 3

4 0

3 years ago

The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is th

Sindrei [870]

Answer:

a) 0.0025

b) 0.9975

c) 23.03 minutes

d) 23.03 minutes

Step-by-step explanation:

Let X be the random variable that measures the time waited for a taxi.

If X is exponentially distributed with a mean of 10 minutes,then the probability that you have to wait more than t minutes is

$\large P(X>t) = e^{-t/10}$

1 hour = 60 minutes, so the probability that you wait longer than one hour is

$\large P(X>60)=e^{-6}=0.0025$

Due to the “memorylessness” of the exponential distribution, the probability that you have to wait 10 or less minutes after you have already waited for one hour, is the same as the probability that you have to wait 10 or less minutes

$\large P(X\leq 10)=1-e^{-6}=0.9975$

We want x so that

P(X>x)=0.1

$\large e^{-x/10}=0.1\rightarrow -x/10=ln(0.1)\rightarrow x=-10ln(0.1)=23.03\;minutes$

We want P(X<x)=0.9

$\large 1-e^{-x/10}=0.9\rightarrow e^{-x/10}=0.1\rightarrow x=-10ln(0.1)=23.03\;minutes$

4 0

3 years ago