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RoseWind [281]
3 years ago
5

: Solve the inequality and graph the solution. ​ ​ 3(x+5)>12

Mathematics
1 answer:
AleksandrR [38]3 years ago
3 0

Answer:

​3(x + 5) > 12

x + 5 > 12/3

x + 5 > 4

x > 4 - 5

x > -1

Graph -  SEE ATTACHMENT

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How can I draw this problem?
Annette [7]

Using translation concepts, the graph of f(x) is given at the end of the answer.

<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 either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The parent absolute value function is given by:

f(x) = |x|

Which has the graph in the format of a V centered at the origin.

The translated function is given by:

g(x) = -1/2|x + 4| + 2.

The translations are as follows:

  • Reflection over the x-axis, due to the multiplication by the negative number, thus the V is pointing down now.
  • Vertical compression by a factor of 2, due to the division by 2.
  • Shift left of 4 units, as x -> x + 4.
  • Shift up of 2 units, as y -> y + 2.

Due to the last two translations, the graph is now centered at (-4,2) and is given at the end of the answer.

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

#SPJ1

6 0
10 months ago
The lengths of the sides of a triangle are 9​, 12​, and 15. Classify the triangle as​ acute, right, or obtuse.
Stells [14]

Answer:

right angle triangle

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by applying Pythagoras theorem

RHS ={9}^{2}  + 12 ^{2}  =   81 + 144 = 225=√225 =15=LHS

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6 0
2 years ago
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Answer:80%

Step-by-step explanation:

18/90 × 100%

=20%

he got 20% of the questions wrong

100% - 20% =80%

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Mashutka [201]
25% off is the answer
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