Find the zeros of the function h(x)=x^2-5x-50 by factoring

Answers

Answer 1

Answer: $h(x)=x^2-5x-50=x^2-5x-25-25=x^2-25-5x-25\n\n=(x^2-25)-(5x+25)=(x^2-5^2)-5(x+5)\n\n=(x-5)\underline{(x+5)}-5\underline{(x+5)}=(x+5)(x-5-5)=(x+5)(x-10)\n\nAnswer:Zeros\ are\ x=-5\ and\ x=10.$

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A bathtub can hold a maximum of 50 gallons of water. Water can be drained out of the tub at a rate of 2 gallons per minute. If the tub is initially completely filled by a faucet at a rate of 1 gallon per minute, how long will it take to drain the full tub if the drain is opened but the faucet is kept on?

Answers

Answer:

50 minutes

Step-by-step explanation:

Given,

Water can be drained out of the tub at a rate of 2 gallons per minute,

So, the drained water in 1 minute = 2 gallon,

That is, change in 1 minute = -2 gallon

( negative sign shows losing water)

Also, it is filled by a faucet at a rate of 1 gallon per minute,

So, the filled water in 1 minute = 1 gallon,

That is, change in 1 minute = + 1 gallon

( Positive sign shows additional water ),

Thus, total change in 1 minute = -2 + 1 = -1 gallon,

Let x be the time after which the bathtub will be emptied completely,

Total change in x minutes = -x gallon,

Bathtub will be emptied, if,

Initial volume of water + total change in water = 0

50 - x = 0 ( given volume of tub is 50 gallon )

$\implies x = 50$

Hence, it will take 50 minutes to drain the full tub.

Which number is equal to 4/2

Answers

Answer:

Step-by-step explanation:

4/2 is the same as 4 divided by 2

Given that j || k, what is the measure of the missing angle?A) 30°
B) 40°
C) 60°
D) 120°

Answers

Answer:

the measure of the missing angle is 60°

Step-by-step explanation:

GIVEN : j || k

solution :

We will use the property of linear pairs

120° + ∠1 = 180° (sum of linear pairs is 180°)

⇒ ∠1 = 180°- 120°

⇒∠1 = 60°

now since j || k

So, we can use corresponding angle properties

So, ∠? = ∠1 (corresponding angles are equal)

⇒∠? = ∠1 = 60°

Thus ? = 60°

60 degrees or C. Since the missing angle is the opposite of the 120 degree angle, 180 degrees minus(since that is the amount of degrees in a straight line, and a circle contains 360 degrees) the other angle gives you your answer.

Find the original price of a microwave oven. Discount: 20% Sale Price: $250.00

Answers

Let's take the original price as a
After the discount of 20%, the price is 250.
80/100 * a = 250
a = 250 * 100 / 80
a = 312.5

So original price is 312.5

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