Anna bought 8 tetras and 2 rainbow fish for her aquarium. The rainbow fish cost $6 more than the tetras. She paid a total of $37.
Which of the following are true? Select all that apply.
A.
An equation to find the cost t, in dollars, of a tetra is 8 t + 2 t + 6 = 37.
B.
The cost of 4 tetras is the same as the cost of a rainbow fish.
C.
Reducing the number of rainbow fish by 1 would result in a total cost of $28.50.
D.
An equation to find the cost r, in dollars, of a rainbow fish is 8 r + 2 (r + 6) 37.
E.
One rainbow fish plus 5 tetras cost $21.

The answer is, C and E

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

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.

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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: