F(x) = x²-81

g(x) = (x-9) -1(x+9)

= (x-9) -x-9

g(x) • f(x)

= [x²-81 ] • [ (x-9) -x-9 ]

=[ x²-81 ] • [ (x-x -9-9) ]
= [ x²-81 ] •[0-18]
= [ x²-81] •[ -18]

= -18•x² +-81•-18
= -18x²+1458

7 0

3 years ago

Determine the value of x for which a || b if m<30=80-x and m<7=90-2x.

abruzzese [7]

D. 10

m<3 = 80 - (10) = 70
m<7 = 90 - (20) = 70

8 0

2 years ago

a telephone technician charges $30 per hour plus a $45 service charge your father's firm hires him to hook up his company's phon

hodyreva [135]

y=mx+b

y=30h + 45

h= 6.5h

y=30(6.5)+45

y=$240

6 0

2 years ago

Use the triangle below to find cos V.

Semenov [28]

Answer:

$cos\ V = \frac{2\sqrt{29}}{29}$

Step-by-step explanation:

Given

The attached triangle

Required

Find cos V

In trigonometry:

$cos\theta = \frac{Adjacent}{Hypotenuse}$

In this case:

$cos V= \frac{TV}{UV}$

Where

$TV = 6$

and

$UV^2 = TV^2 + TU^2$ -- Pythagoras

$UV^2 = 6^2 + 15^2$

$UV^2 = 261$

Take square roots

$UV = \sqrt{261$

$UV = \sqrt{9*29$

$UV = \sqrt{9} *\sqrt{29$

$UV = 3\sqrt{29$

So:

$cos V= \frac{TV}{UV}$

$cos\ V = \frac{6}{3\sqrt{29}}$

$cos\ V = \frac{2}{\sqrt{29}}$

Rationalize:

$cos\ V = \frac{2}{\sqrt{29}}*\frac{\sqrt{29}}{\sqrt{29}}$

$cos\ V = \frac{2\sqrt{29}}{29}$

8 0

2 years ago