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3 years ago

Use the given function f(x)=|x| to graph g(x) =|x+2|-4

Mathematics

1 answer:

makvit [3.9K]3 years ago

8 0

Answer:

see the attachment for a graph

Step-by-step explanation:

The vertex of f(x) is (0, 0). The transformation g(x) = f(x -h) +k moves the vertex to (h, k). That is, the graph is translated right by h units, and up by k units.

Your transformation has h = -2, and k = -4. That is, the original graph is translated left 2 units and down 4 units. The result is the blue curve in the attachment.

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Each week, Mr Smith must make copies for his history class. When he uses both the Xerox and the Hewlett packard copiers, the cop

Pachacha [2.7K]

Answer:

The job will take <u><em>75 minutes</em></u> if the Hewlett Packard copier is broken

Step-by-step explanation:

In this question, we are tasked with calculating the amount of time it will the Xerox copier to finish making the copies whilst working alone

First, let the number of copies to make be x

Thus, the rate at which both copiers deliver when working together is x/30 copies per minute

If the Hewlett Packard is working alone, its rate is x/50 copies per minute

Let the time taken for the Xerox copier to complete its work be y minutes. Its working rate is thus x/y copies per minute

When we add the individual working rates, we have the joint working rate.

Hence, mathematically;

x/50 + x/y = x/30

Multiply through by 1/x

1/50 + 1/y = 1/30

1/y = 1/30 - 1/50

1/y = (50-30)/1500

1/y = 20/1500

20y = 1500

y = 1500/20

y = 75 minutes

Thus, the job will take 75 minutes if the Hewlett Packard copier is broken

5 0

3 years ago

You bought 12 baseball cards on Monday and 24 baseball cards on Tuesday. After giving some baseball cards to your brother, you h

Crank

12 cards + 24 cards = 36 cards
36 cards - 13 cards = 23 cards
You gave your brother 23 cards

7 0

3 years ago

Read 2 more answers

Cual es la raiz cuvica de 4273

vagabundo [1.1K]

the answer is 96 69 all the

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7 0

3 years ago

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EB and DA are diameters of circle Y. What is the measure of arc EDC?

Dmitrij [34]

Answer:

Option (D). 110°

Step-by-step explanation:

Since EB and AD are diameter,

$m(\widehat{ECB})$ = $m(\widehat{ACD})$ = 180°

$m(\widehat{ECB})=m(\widehat{EDC})+m(\widehat{BC})$ = 180° -------(1)

And $m(\widehat{ACD})=m(\widehat{AB})+m(\widehat{BCD})$

180° = 40° + $m(\widehat{BCD})$

$m(\widehat{BCD})$ = 140°

Since, $m(\widehat{BCD})=m(\widehat{BC})+m(\widehat{CD})$

$2m(\widehat{BC})$ = 140° [Given $m(\widehat{BC})=m(\widehat{CD})$ ]

$m(\widehat{BC})$ = 70°

From equation (1),

$m(\widehat{EDC}})$ = 180° - $m(\widehat{BC})$

$m(\widehat{EDC}})$ = 180°- 70°

Therefore, measure of arc(EDC) = 110°

Option (D) will be the answer.

4 0

3 years ago

A professional baseball team won 84 games this season . The team won 14 more games than it lost. Therwe qere no ties how many ga

Natalka [10]

We are given the professional baseball team won = 84 games.

Let us assume the team loss = x games.

According to problem, "the team won 14 more games than it lost".

14 more than x could be given by expression " x+14".

Therefore, we can setup an equation

x+14 = 84.

Subtracting 14 from both sides, we get

x+14-14 = 84 -14

x = 70.

Team loss = 70 games.

Total number of games played = Number of games win + number of games loss.

= 84 +70 = 154 games.

Therefore, total 154 games were played.

7 0

3 years ago