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svp [43]
3 years ago
9

The functions f and g are such that

Mathematics
1 answer:
Aleks [24]3 years ago
8 0

Answer:

a) f(x)^-1=(x+1)/4\\\\

b) a=28 ; b=-16

Step-by-step explanation:

*For b only:

We know that

fg(x)---> 4(x^2+3)-1\\2gf(x)---> 2[(4x-1)^2+3]\\\\

From this we create an equation

4(x^2+3)-1= 2[(4x-1)^2+3]

We solve the equation

4x^2+11=32x^2-16x+8\\4x^2+11-32x^2+16x-8=0\\28x^2-16-3=0

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Factor completely 3x4y3 − 15x2y2 + 6xy.
ElenaW [278]

Answer: you already gave the answer. To check it submit

factor 3x^4y^3 − 15x^2y^2 + 6xy

to Wolfram Alpha.

3xy(x^3y^2 − 5xy + 2) is the "irreducible factorization".


5 0
3 years ago
Read 2 more answers
GRAVITY The height above the ground of a ball thrown up with a velocity of 96 feet per second from a height of 6 feet is 6+96t-1
Nata [24]
Here the time function is h(t) = [6 + 96t - 16t^2] feet.

The initial height of the ball is 6 feet.  That's when t=0.  h(0)=[6+0-0] ft = 6 ft.

At t=7 sec, h(t) = [6 + 96t - 16t^2] feet becomes
       h(7 sec) = h(t) = [6 + 96(7) - 16(7)^2] feet       This produces a large negative number (-106 ft), which in theory indicates that the ball has fallen to earth and burrowed 106 feet into the soil.  Doesn't make sense.

Instead, let t=1 sec.    Then h(1 sec) = h(t) = [6 + 96(1) - 16(1)^2] feet
                                                                     =[6 + 96 -16] ft, or 86 ft.

One sec after the ball is thrown upward, it reaches a height of 86 feet.  It continues to rise, slowing down, until it finally stops for an instant and then begins to fall towards earth.

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4 years ago
An employee was randomly chosen from a company's
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Can you post more info
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4 years ago
3x/4-7/2=1/4 what does x equal
LUCKY_DIMON [66]

Answer:

x=5

Step-by-step explanation:

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7 0
3 years ago
Select the correct answer from each drop-down menu.
Marina86 [1]

Based on the inscribed quadrilateral conjecture: trapezoid QPRS can be inscribed in a circle because its opposite angles are supplementary.

<h3>What is the Inscribed Quadrilateral Conjecture?</h3>

The inscribed quadrilateral conjecture states that the opposite angle of any inscribed quadrilateral are supplementary to each other. That is, they have a sum of 180 degrees.

From the diagram given, the opposite angles in the trapezoid, 115 + 65 = 180 degrees.

Therefore, we can conclude that: trapezoid QPRS can be inscribed in a circle because its opposite angles are supplementary.

Learn more about the inscribed quadrilateral conjecture on:

brainly.com/question/12238046

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3 0
2 years ago
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