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3 years ago

Which of the following points is a solution of y > |x| + 5? A) (1,7) B) (0,5) C) (7,1)

Mathematics

1 answer:

bearhunter [10]3 years ago

3 0

Answer:

Step-by-step explanation:

We can plug in all of the x and y values to check if the point is a solution to the inequality.

Point A: x = 1, y = 7

7 > |1| + 5

7 > 1 + 5

7 > 6

This is a true statement, which means that this point is a solution to the inequality. We don't have to check any more points since we have found our answer.

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Jada walks up to a tank of water that can hold up to 10 gallons.When it is active, a drain empties water from the tank at a cons

worty [1.4K]

Answer:

Part A)The amount of water in the tank is changing at -2/3 gallons per minute. 

Part B) it will take 7.5 minutes for the tank to drain completely.

Part C) The water tank was completely full 4.5 minutes before Jada arrived.

Step-by-step explanation:

Information fetching:

Tank of water can hold up-to 10 gallons.

When it is active, a drain empties water from the tank at a constant rate.
7 gallons of water present in the tank when Jade first saw
5 gallons of water left after 3 minutes

Part A) At what rate is the amount of water in the tank changing?

As the gallons were decreased from 7 to 5 in three minutes. It means in three minutes, 2 gallons were decreased.

So, gallons per minute change would be -2/3 gallons per minute. Hence, the amount of water in the tank is changing at -2/3 gallons per minute. 

Note: negative sign indicates the number of gallons of water are decreasing.

Part B) How many more minutes will it take for the tank to drain completely.

Let 'm' be the number of minutes will it take for the tank to drain completely.

As,

(2/3 gallons per minute) (m minutes) = 5 gallons

So,

m = 5 (3/2)

= 15/2

= 7.5 minutes

So, it will take 7.5 minutes for the tank to drain completely.

Part C) How many minutes before Jada arrived was the water tank completely full

As tank of water can hold up to 10 gallons. So, the tank of water is full when there is 10 gallons of water. So, this is 3 gallons of water more than the total 7 number of gallons at the time when Jada arrived.

As Jada arrived when the tank had left 7 gallons.

Let 'm' be the number of minutes before Jada arrived when the water tank was completely full.

So,

(2/3) (m) = 3

m = 3(3/2) = 9/2

= 4.5 minutes

So, the water tank was completely full 4.5 minutes before Jada arrived.

Keywords: time rate of change, time

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3 0

4 years ago

Please help I suck at math

Sergio039 [100]

I think the answer is 3/2 but i am not sure

4 0

4 years ago

Read 2 more answers

Select the domain and range of F. F = {(x, y ) | x + y = 10}. Domain: {10} Range: {10} Set F is not a function and does not cont

MissTica

Answer:

Domain is all Real Numbers and the Range is all Real Numbers.

Step-by-step explanation:

It is a function.

The graph of this function is a straight line passing through the x axis at (10,0) and the y-axis at (0,10). The line continues to the left and right without bounds.

So the Domain is all Real Numbers and the Range is all Real Numbers.

4 0

4 years ago

Harrison has $9.30 in his coin collection all in pennies and dimes the number of dimes is three times the number of pennies how

Vsevolod [243]

Answer:

Number of Pennies = 30

Number of Dimes = 90

Step-by-step explanation:

Let the number of pennies be p and number of dimes be d

We can write 2 equations and use substitution method to solve.

Total value of all the coins is 9.30:

We can write:

0.01p + 0.1d = 9.30

Note: value of penny is 0.01 and dime is 0.1, in dollars

Number of dimes is 3 times number of pennies:

We can write:

d = 3p

Now putting 2nd equation in first and solving for p:

0.01p + 0.1(3p) = 9.30

0.01p + 0.3p = 9.30

0.31 p = 9.30

p = 9.30 /0.31

p = 30

Now we know d = 3p, so d = 3 (30) = 90

Hence

Number of Pennies = 30

Number of Dimes = 90

5 0

3 years ago

What is the slope of the line for (9,6) & (-2,17)

denis-greek [22]

The slope is negative one

7 0

3 years ago

Read 2 more answers