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MArishka [77]
3 years ago
11

Neither the absolute value function nor the greatest integer function is one-to-one.

Mathematics
1 answer:
poizon [28]3 years ago
4 0
It is true that neither the absolute value function nor the greatest integer function is one to one. The correct answer is True.
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Not good with factoring could use a hand.
MrRa [10]

The only factoring you need to do is already done for you:

<em>x</em>² + <em>x</em> - 12 = (<em>x</em> + 4) (<em>x</em> - 3)

What you're asked to do is decompose

(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12)

into partial fractions, i.e. find <em>a</em> and <em>b</em> such that

(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12) = <em>a</em> / (<em>x</em> + 4) + <em>b</em> / (<em>x</em> - 3)

Multiply both sides by <em>x</em>² + <em>x</em> - 12 :

3<em>x</em> - 4 = <em>a</em> (<em>x</em> - 3) + <em>b</em> (<em>x</em> + 4)

3<em>x</em> - 4 = (<em>a</em> + <em>b</em>) <em>x</em> + (-3<em>a</em> + 4<em>b</em>)

So we have

<em>a</em> + <em>b</em> = 3

-3<em>a</em> + 4<em>b</em> = -4

and solving this system gives

<em>a</em> = 16/7 and <em>b</em> = 5/7

so you should submit the numbers in bold:

(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12) = 16 / (7 (<em>x</em> + 4)) + 5 / (7 (<em>x</em> - 3))

6 0
3 years ago
BRAINLIEST AND 20 POINTS PLZ HELP ASAP
DanielleElmas [232]

Answer:

Step 1: It should be m∠m + m∠n + m∠o = 180° (sum of angles in a triangle)

Step-by-step explanation:

He made the mistake in Step 1: m∠m + m∠n + m∠p = 180°

It should be m∠m + m∠n + m∠o = 180°

Then only, he can equate it with m∠o + m∠p in step 3.

So,  m∠p is the exterior angle and m∠m and m∠n are the two remote interior angles.

m∠o is the adjacent angle to m∠p. They form a linear pair.

Hence, the correct answer is Step 1.

5 0
3 years ago
Read 2 more answers
If needed i will show the other answers
bonufazy [111]

Answer:

It will take 518 calorie smoothy that she had for breakfast in the morning.

4 0
3 years ago
Read 2 more answers
Evaluate 3z3z3, z when z=9z=9z, equals, 9.
gtnhenbr [62]

Step-by-step explanation:

The answer is 108. Because you multiply 3 by 9. which is 27 then you multiply 27 by 4 because thats how many 3zs there are.

5 0
3 years ago
What measurement is a perfect square
Scrat [10]

Answer:

The area of a rectangle with length of 5 and width of 5.

Step-by-step explanation:

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself.

area = lxw

A=5x5 (5 times itself)

A=25

therefore it is a perfect square

7 0
3 years ago
Read 2 more answers
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