Factorize :
a. 2tan²A+tanA-6
b. sin²θ.cosθ+sinθ.cos²θ

Below in bold.

Step-by-step explanation:

a.  2tan²A + tanA - 6

= 2tan²A + 4tanA - 3tanA -6

= 2tanA(tanA + 2) - 3(tanA + 2)

= (2tanA - 3)(tanA + 2)

b. sin²θ.cosθ+sinθ.cos²θ

The GCF is sinθcosθ so the factors are:

sinθcosθ(sinθ + cosθ)

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:

$655.61 which is option c

step-by-step explanation:

price of house =   $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

                                        =

                                        =$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

                                      =$35770

remaining money = $146000-35770

                                =$110230

new mortgaged payment = 5 % of 110230

                                            =  

                                            =$655.61