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3 years ago

Does anybody know what g(x)=3 when x ?

Mathematics

1 answer:

stepladder [879]3 years ago

5 0

Answer:

Step-by-step explanation:

g(x) = y

So to find x when g(x) = 3, go look at the y = 3 line and find the point, in this case (9,3) the x value (9) is your answer.

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a leaky faucet is losing water and it is filling a 5 gallon bucket every 12 hours. At the rate, how many gallons of water will t

Alina [70]

Answer:

20 gallons

Step-by-step explanation:

First start off by dividing 48 by 12 to see how many times 12 goes into 48.

48 / 12 = 4

now that you know that 12 goes into 48 4 times, multiply 4 by 5 to see how many gallons the leaky faucet will fill in 48 hours.

4 x 5 = 20

therefore the answer is 20 gallons

I hope this helps ^^

3 0

3 years ago

Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.

DENIUS [597]

Answer:

$\frac{7}{\sqrt{3}}$

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

$d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |$ --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

$d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |$

$d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |$

$d = |\frac{(-7)}{\sqrt{3}} |$

$d = \frac{7}{\sqrt{3}}$

Therefore, the shortest distance from the point to the plane is $d = \frac{7}{\sqrt{3}}$

5 0

3 years ago

If k = √31 and m = √26, which graph most closely represent the locations of K and M on a number line? The options are in the pic

Dmitry [639]

Answer:

First option

Step-by-step explanation:

√31 = 5.56....

√26 = 5.09....

So m is less than k but greater than 5.

k is greater than k but less than 6.

So the first option is more logical

8 0

3 years ago

You have a cell phone that is 5 inches in height, 0.5 inches in width, and 2.5 inches in length, what is the surface area in sq

fenix001 [56]

Answer: 32.5sq in I believe

I multiplied all the sides (ex 0.5x2.5x2) and did that with all the other sides

6 0

3 years ago

Which point is a solution to the inequality shown in this graph?

sergey [27]

Good morning

Answer:

B: (1, 5)

Step-by-step explanation:

This graph shows the solutions to the inequality: y > (1/3)x - 2

Since, 5 > (1/3)×1 - 2 then the point (1 ,5) is a solution to the inequality.

____________________________

6 0

3 years ago