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Vlada [557]
3 years ago
12

Find the domain and range of the following absolute value functions. fx)=|x-1|+2 I’ll mark brainliest to whoever answers first

Mathematics
1 answer:
andrew-mc [135]3 years ago
7 0

Answer:

Domain is All Real x.

Range is f(x) ≥ 2.

Step-by-step explanation:

The vertical lines about the x - 1 means the Absolute value ( always positive).

|x - 1| will always be positive or 0 and it's graph is  shaped like a V with the vertex at (1, 0)

The + 2 will move the graph up 2 units so the vertex becomes (1, 2).

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-3x^2 plus 24x = 27 <br> complete the square
Rudik [331]

You can divide the whole expression by -3:

-3x^2+24x=27 \iff x^2-8x = -9

Recalling that

(x-a)^2=x^2-2ax+a^2

Let's compare the middle term:

-8x = -2ax \iff a=4

So, we want to complete

(x-4)^2 = x^2-8x+16

Which differs from x^2-8x by 16. So, if we add 16 to both sides, we have

x^2-8x=-9 \iff x^2-8x+16=7 \iff (x-4)^2=7

3 0
3 years ago
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A can do a piece of work in 4 hours and B can do it in 6 hours. How much time would they take working together to finish the wor
Kipish [7]

Answer:

2.4 hours

Step-by-step explanation:

Let total work = X

Rate of work done = X ÷ time

Rate of A = X/4

Rate of B = X/6

If they work together, rate is the sum of their individual rates, i.e.

X/4 + X/6

= (3X + 2X)/12 (taking LCM)

=5X/12

Rate = X/time

5X/12 = X/time

time = X÷(5X/12)

time = X × 12/(5X)

time = 2.4 hours

Shortcut:

Product of individual times/sum of individual times

= (4×6)/(4+6)

=24/10

=2.4 hours

8 0
3 years ago
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Judd is 3 years older than Jordan. Jordan is 6 years younger than Chris. Write an algebraic expression for the sum of their ages
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Answer:

تيتلتبنبزلمينبووبصحثنل

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2 years ago
In the diagram, ΔPMN ≅ ΔQSR<br><br> If QR = 20 in., RS = 7 in., and SQ = 24 in., what is PN
Tamiku [17]
PN=20
Because,/_\PMN_~/_\QSR
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3 years ago
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Plz plz plz help❤I'll help back
Rama09 [41]
The answer is forty four 44

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3 years ago
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