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3 years ago

Use the Distributive Property to factor the polynomial.

Mathematics

2 answers:

andrew-mc [135]3 years ago

8 0

Factor 30v + 50x: recognize that 10 is the only common factor here.

Then 30v + 50x = 10(3v+5x).

yawa3891 [41]3 years ago

4 0

<span>30v + 50x = 10(3v + 5x) (Answer A)

2k</span>² + 4k = 2k(k + 2) (Answer D)<span>

</span>

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The function g(x) is the inverse of the function f (x) = (x + 1)2 + 2, when x < -1

kondaur [170]

9514 1404 393

Answer:

g(x) = -√(x -2) -1

Step-by-step explanation:

We note the domain of f(x) is x ≤ -1. The is the range of the function g(x).

The inverse function is the solution to ...

x = f(y)

x = (y +1)² +2

x -2 = (y +1)²

-√(x -2) = y +1 . . . . . . . we are interested only in the negative values

y = -√(x -2) -1

The inverse function is ...

g(x) = -√(x -2) -1

3 0

3 years ago

A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 L/mi

Margaret [11]

Answer:

a) $y(t)=0.65\frac{Kg}{min}(tmin)$

b) $y(40)=26Kg$

Step-by-step explanation:

Data

Brine a (Ba)

$V_{Ba}=5\frac{Lt}{min}\\ Concentration(Bca)=0.05\frac{Kg}{Lt}$

Brine b (Bb)

$V_{Bb}=10\frac{Lt}{min}\\ Concentration(Bcb)=0.04\frac{Kg}{Lt}$

we have that per every minute the amount of solution that enters the tank is the same as the one that leaves the tank (15 Lt / min)

, then the amount of salt (y) left in the tank after (t) minutes: $y=V_{Ba}*B_{ca}+V_{Bb}*B_{cb}=5\frac{Lt}{min}*0.05\frac{Kg}{Lt}+10\frac{Lt}{min}*0.04\frac{Kg}{Lt}=\\0.25\frac{Kg}{min}+0.4\frac{Kg}{min}=0.65\frac{Kg}{min}$

Finally:

a) $y(t)=0.65\frac{Kg}{min}(tmin)$

b) $y(40)=0.65\frac{Kg}{min}(40min)=26Kg$

being y(t) the amount of salt (y) per unit of time (t)

5 0

3 years ago

it takes an air pump 4.0 minutes to fill a twin sized air mattress (39 by 8.75 by 75 inches). How long will it take to fill a qu

Ivahew [28]

Volume of twin sized mattress =

39* 8.75* 75 = 25593.35 cubic inch

Volume of queen sized mattress =

60* 8.75* 80 = 42000 cubic inch

To fill 25593.35 cubic inch it takes 4 minutes

To fill 1 cubic inch it will take = $\frac{4}{25593.35}$ minutes

So to fill 42000 cubic inch it will take = $\frac{4}{25593.35} * 42000$

= 6.56 minutes.

7 0

3 years ago

Classify each number below as a rational number or an irrational number.

givi [52]

Answer:

1. rational

2. irrational

3. rational

4. rational. square root of 9 is 3. negative sign implies -1. answer would -3

5. rational

Step-by-step explanation:

pi & square roots of non-perfect squares are irrational numbers

varsitytutors

8 0

2 years ago

Which equation has a graph that is perpendicular to the graph of 4x - 2y = 1?

sineoko [7]

Answer:

Step-by-step explanation:

2 is the opposite of -1/2, so reciprocals line up for perpendicularity

7 0

3 years ago

Read 2 more answers