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2 years ago

The function m=30-3r represents the amount m (in dollars) of money you have after renting r video games.

1 answer:

5 0

The domain of the equation are all the possible values of the independent variables that would make the equation reasonable, possible or true. In this item, the independent variable is r. This could take a value of 0 up to the point when m is equal to zero.
m = 30 - 3r = 0
r = 10

The domain is therefore [0, 10].

The range is the value of the dependent variable which would be from 0 to the point when no video game is played. This is, [0, 30].

The function is discrete because r and m cannot take every value in the number line.

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Angle EFG is 80°

Lana71 [14]

Answer:

X=80°

Step-by-step explanation:

Bc it’s in the same place as angle F

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2 years ago

Which expression is equivalent to the equation?

IrinaK [193]

Answer:

Option 1

Step-by-step explanation:

The given equation equals 3072, so find the other equation that equals 3072.

Option 1 = 3072 - correct

Option 2 = 432 - wrong

Option 3 = 2883 - wrong

Option 4 = 432 - wrong

I hope this helps!

4 0

1 year ago

Which statement describes a process to solve sqrt b+20 - sqrt b=5?

babunello [35]

Answer:

Step-by-step explanation:

The equation is:

√b+20 - √b = 5

The first step is we will add √b to both sides:

√b+20 -√b +√b = 5 +√b

√b+20 = 5+√b

Now take square at both sides:

(√b+20)^2 = (5+√b)^2

b+20 = 25+10√b+b

Now combine the like terms:

b+20-25-b=10√b

-5 = 10√b

Divide both the terms by 10

-5/10 = 10√b/10

-1/2=√b

Take square at both sides:

(-1/2)^2 = (√b)^2

1/4 = b

So in this type of question we add radical terms to both sides and square both sides twice....

7 0

2 years ago

If Ethan takes out a $5,000 loan to buy a motorcycle and his payments are $168.45 a month for 36 months, how much money will he

Vilka [71]

Answer:

$1064.20

Step-by-step explanation:

36 payments of $168.45 have a total of $6064.20. The excess over the loan amount of $5000 is the interest paid:

$6064.20 -5000 = $1064.20 . . . . interest paid

4 0

1 year ago

Point b has coordinates (3,-4) and lies on the circle whose equation is x^2 + y^2= 25. If angle is drawn in a standard position

lakkis [162]

Point B has coordinates (3,-4) and lies on the circle. Draw the perpendiculars from point B to the x-axis and y-axis. Denote the points of intersection with x-axis A and with y-axis C. Consider the right triangle ABO (O is the origin), by tha conditions data: AB=4 and AO=3, then by Pythagorean theorem:

 $BO^2=AO^2+AB^2 \\ BO^2=3^2+4^2 \\ BO^2=9+16 \\ BO^2=25 \\ BO=5$ .

{Note, that BO is a radius of circle and it wasn't necessarily to use Pythagorean theorem to find BO}
The sine of the angle BOA is
$\sin \angle BOA= \dfrac{AB}{BO} = \dfrac{4}{5} =0.8$

Since point B is placed in the IV quadrant, the sine of the angle that is drawn in a standard position with its terminal ray will be 


 $\sin \theta=-0.8$ .

3 0

2 years ago