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3 years ago

Find domain and range of 2x+3y=4

Mathematics

1 answer:

jeka943 years ago

7 0

Answer:

The domain is (-infinity, infinity)

The range is (-infinity, infinity)

Step-by-step explanation:

In order to turn this equation into a linear function, you must solve for y, to get y=. First you subtract 2x from both sides. You will then have 3y=4-2x. Next, you divide by 3 on both sides to isolate the "y". Then you'll get y=-2/3x+4/3. The domain and range of this function once it is graphed is (-infinity, infinity).

Hope I helped :)

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The area of a room is 55.929 square meters if its width is 5.43 meters, what is its length

Anna007 [38]

Answer:

10.3m

Step-by-step explanation:

area of a rectangle is width times length, so you have to rearrange the equation

55.929 ÷ 5.43 = 10.3

3 0

3 years ago

Read 2 more answers

Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?

monitta

Answer:

$(x-7)^2+(y-2)^2=34$

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

Since our center is at (7, 2), h = 7 and k = 2. Substitute:

$(x-7)^2+(y-2)^2=r^2$

Next, the since a point on the circle is (2, 5), y = 5 when x = 2. Substitute:

$(2-7)^2+(5-2)^2=r^2$

Solve for r:

$(-5)^2+(3)^2=r^2$

Simplify. Thus:

$25+9=r^2$

Finally, add:

$r^2=34$

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

$(x-7)^2+(y-2)^2=34$

4 0

3 years ago

Without using a calculator, order the following numbers from least to greatest

SpyIntel [72]

The square root of 78 is a number which when multiplied by itself results in 78. The square root of 78 is denoted by √78. 78 can be expressed as 78 = 2 × 3 × 13. Hence, on simplifying square root of 78 is written as √78

so the least number is root 78 , 9 , 10

8 0

3 years ago

A meteorologist is monitoring the atmospheric pressure as his height above sea level varies. The meteorologist determines that t

Burka [1]

Answer:

The function $p(n)$ is represented by $p(n) = 103\cdot (0.88)^{n}$ .

Step-by-step explanation:

Statement indicates that atmospheric pressure decreases exponentially when height above sea level is increased. This fact is represented by the following model:

$p(n) = p_{o}\cdot r^{n}$ (Eq. 1)

Where:

$p_{o}$ - Atmospheric pressure at sea level, measured in kilopascals.

$r$ -Atmospheric pressure decrease rate, dimensionless.

$n$ - Height above sea level, measured in kilometers.

$p(n)$ - Current pressure, measured in kilopascals.

If we know that $p_{o} = 103\,kPa$ and $r = 0.88$ , the function $p(n)$ is represented by:

$p(n) = 103\cdot (0.88)^{n}$

4 0

3 years ago

Arwen uses an eye dropper that produces drops that has a volume of 1/8 milliliter to fill 30 milliliter test tube. How many drop

oksian1 [2.3K]

To answer this question, you need to know how many drops go into atheism test tube.

Each drop is 1/8 milliliter. The test tube is 30 milliliter.

So, divide 30 by 1/8 to see how many times 1/8 goes into 30.

30 divided by 1/8 = 30 times 8 = 240

It takes 240 drops (that's a lot!) to fill up the test tube.

Hope this helps!

4 0

3 years ago