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Liono4ka [1.6K]
3 years ago
15

If the range of the function f(x) = 4x – 3 is {11.4, 15, 17, 29}, what is its domain?

Mathematics
2 answers:
Irina18 [472]3 years ago
5 0
The range is the y-component of the function

the function looks like it just consists of 4 points which have y-coordinates of 11.4, 15,17, and 29

so in order to find domain (x-component of the function), you just substitute each y value, and find the corresponding x-value

11.4 =4x -3
14.4=4x
x=14.4/4

15=4x-3
18=4x
x= 18/4

etc etc
Temka [501]3 years ago
5 0
Range is the output

basically
f(x)=range
just solve for the values of x that make them true

just solve
4x-3=11.4
4x-3=15
4x-3=17
4x-3=29
those values aer the domain

solving each
add 3 to both sides
4x=14.4
4x=18
4x=20
4x=32

divide both sides by 4

x=3.6
x=4.5
x=5
x=8

the domain is D={3.6, 4.5, 5, 8}
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Answer:

x= 60°, y = 80°, z = 40°

Step-by-step explanation:

Look at the line substending 40° and Z°; you would see that both lines are parallel and so their angles are they the same.

Hence z= 40° { corresponding angles of parallel lines}

Similarly;

Look at the line substending 60° and x°; you would see that both lines are parallel and so their angles are they the same.

60° = x° { corresponding angles of parallel lines}

Now looking at the angle between x and y; let's call the angle between them r

And you would observe closely that r = z° = 40°{ vertically opposite angles are equal}

Note that x + r + y = 180°{ angle on a straight line}

y = 180° - ( x + r)

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Step-by-step explanation:

The Pythagorean theorem can be understood as a mathematical relationship between the sides of a right triangle that helps to understand geometric problems in real situations, such as finding measurements, calculating areas, etc.

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In a right triangle the hypotenuse is the longest side of the triangle, on the side opposite to its longest angle, and the other two sides will be the sides. So the Pythagorean theorem formula is:

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Answer:

from my understanding the correct answer should be

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Answer:

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X - 2 = 9, correct?

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