If for all real values of x, (x + c)(x + 4) = x2 + 8x + 4c, then c = ?

a. 2
b. 4
c. 6
d. 8
e. 10

  B.  4

Step-by-step explanation:

When you perform the multiplication, you get ...

  (x +c)(x +4) = x² + (c+4)x +4c = x² + 8x +4c

Then ...

  c + 4 = 8 . . . . coefficients of x must match

  c = 4 . . . . . matches choice B

answear:

a

step-by-step explanation: a

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: