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Nata [24]
1 year ago
14

Graph g(x) = |x + 3|.

Mathematics
2 answers:
elena55 [62]1 year ago
6 0

The graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)

<h3>How to graph the equation of the function?</h3>

The equation of the function is given as; g(x) = |x| - 3

The above function is an absolute value function.

The parent function of an absolute value function is; f(x) = |x|

This means that the function f(x) is translated to get to function g(x)

In this case, the function is f(x) is translated down by 3 units to get to function g(x)

So, the graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)

See attachment for the graph of g(x)

Read more about transformation at; brainly.com/question/1548871

#SPJ1

Rainbow [258]1 year ago
5 0

Answer: its c

Step-by-step explanation:

plug in 0 to the equation and you get (0,3)

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so.. the left-hand-side does indeed simplify to x+7, so the equation does check out.

however, notice something, for the equation of x+7, when x = 6, we get (6) + 7 which is 13.

BUT for the rational, we get    \bf \cfrac{x^2-x-42}{x-6}\qquad \boxed{x=6}\implies \cfrac{x^2-x-42}{\boxed{6}-6}\implies \stackrel{und efined}{\cfrac{x^2-x-42}{0}}

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6 0
3 years ago
Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220
Doss [256]

Answer:

1,000 km

Step-by-step explanation:

Assume that when two train pass each other, Lian has traveled x (km)

=> The time Lian has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = x/ 250 (hour)</em>

As Lian and Yuto travelled from the two opposite train stations and the train stations are 1,880 km apart

=> When two train pass each other, Yuto has traveled 1,880 - x (km)

=> The time Yuto has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = (1,880 - x)/220 (hour)</em>

As Lian and Yuto board at the same time, so that when two trains pass each other, the time both of them have traveled is equal

=> <em>x/ 250 = (1,880 - x)/220</em>

<em>=> 220x = 250 x (1,880 -x) </em>

<em>=> 220x = 470,000 - 250x</em>

<em>=> 470x = 470,000</em>

<em>=> x = 1,000</em>

<em />

<em>So that, </em>when two train pass each other, Lian has traveled x = 1,000 km

<em> </em>

6 0
3 years ago
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Kristy asks lonnie of a number add 3 to it multiply the sum by 2 and then subtract 6.Let n stand for Lonnies number.What express
Lera25 [3.4K]
<h2>Answer :</h2>

Let the number be x. Then according to the question,

Step 1 :- Adding 3

=> x + 3

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=> 2(x +3) - 6

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3 years ago
A mix of factoring by grouping. Factor the exressions. 17ax+17a-x-1 Please explain/show steps on how to do this!
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Answer:

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Step-by-step explanation:

We are given that

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We have to factorize the given expression.

Pair up the terms

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Taking common (x+1)

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Now, we get

(x+1)(17a-1)

This is required factors of given expression.

4 0
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