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4 years ago

Table shows ordered pair that satisfys the function y=3x/2

Mathematics

1 answer:

BabaBlast [244]4 years ago

3 0

Answer:

x: 0, 1, 2, 3, 4, 5

y: 0, 1.5, 3, 4.5, 6, 7.5

Step-by-step explanation:

To create a table that satisfies a function, you need to first choose some x values. Some common x values are 0, 1, 2, 3, 4, 5 or -2. -1, 0, 1, 2, but it doesn't matter which numbers you choose.

Then, plug the x values in to the function to get a table of y-values.

I chose the x-values as 0, 1, 2, 3, 4, 5 but these numbers could be anything. To find the y, I plugged each x into the function.

y = 3 * ( 0 ) / 2 = 0 / 2 = 0

y = 3 * ( 1 ) / 2 = 3 / 2 = 1.5

y = 3 * ( 2 ) / 2 = 6 / 2 = 3

y = 3 * ( 3 ) / 2 = 9 / 2 = 4.5

y = 3 * ( 4 ) / 2 = 12 / 2 = 6

y = 3 * ( 5 ) / 2 = 15 / 2 = 7.5

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In 2001, a company marketed 730,000 units of its product. In 2001 its yearly volume was 50% of its volume for 2004. The 2004 vol

Dmitriy789 [7]

Answer:

4000 units

Step-by-step explanation:

In 2001 the total number of marketed units= 730,000

If this number represents 50% of what was marketed in 2004, then the total number of units marketed in 2004 was:

(100/50)× 730,000=1460000

To get the number for each of the 365 days in 2004 we divide the total for 2004 by 365

1460000/365= 4000 units

4 0

3 years ago

Read 2 more answers

Use parenthesis to make each number sentence true. <br><br> 124 - 6 x 0 + 15 = 34

Natasha2012 [34]

Answer:

12 - 6 x (0 + 15) = 34

How I got my answer

First, how i got my answer was that I had to solve the equation first, ignoring the answer. I got 0 x 6 = 0, then I did 124 - 0 = 124, then I did 124 - 15 = 109, which clearly isn't 34. I figured that we have to put the parentheses around the zero because if we don't, we are going have to multiply something by zero, which always gets zero. After that, I decided that I should put the parentheses around either the 6, or the 15. I did both, and saw which one was correct. If we put it around the 6, we get, 124 - (6 x 0) + 15 = 124 - 0 - 15 = 124 - 15 = 109, which isn't 34. Then I checked 124 - 6 x (0 + 15) = 124 - 6 x 15 = 124 - 90 = 34, and we just got the answer.

P.S. Sorry if it was confusing, I didn't really know how to explain it

5 0

4 years ago

The area of a rectangle having breadth 2.6m is 18.33 sq.m. Find the<br> length of rectangle.

ladessa [460]

Answer:

Length = 7.05m

Step-by-step explanation:

Breadth is just a fancy word for width. We know that the width is 2.6 m and the total area is 18.33 m². We also know that the formula for the area of a rectangle is l*w, length times width. Remember, we are looking for l.

Set up an equation: l*w=A

Where:

l = Length
w = Width
A = Area

Plug in the known values.

l*w=A

l * 2.6 = 18.33

Solve for l. Isolate the variable by dividing both sides of the equation by 2.6:

l = 7.05

You can easily check your work by finding l*w now that you know both values. Always remember to put the unit back into your answer! So your final answer should be l=7.05 m

4 0

3 years ago

The exponential function that models cell duplication in a lab is f(t) = 2^ t+2 where f(t) is the number of cells after time t (

o-na [289]

ANSWER

$11.29 \: hours$

EXPLANATION

The exponential function that models cell duplication in the lab is given as

$f(t) = {2}^{t + 2}$

We want to determine the time it will take for the cells to increase to
$10,000.$

In other words, we want to find the value of
$t$
when
$f(t) = 10,000$

This gives us the equation,

$10,000 = {2}^{t + 2}$

Recall that,

${a}^{m + n} = {a}^{m} \times {a}^{n}$

We apply this property to the right hand side to obtain,

$10,000 = {2}^{t} \times {2}^{2}$

This implies that,

$10,000 =4 \times {2}^{t}$

We divide both sides by 4 to get,

$2500 = {2}^{t}$

We take the antilogarithm of both sides to base 10 to get,

$t = log_{2}(2500)$

This implies that,

$t = 11.29 \: hours$
to the nearest hundredth.

6 0

4 years ago

Read 2 more answers

Make x the subject! urgent help

Serhud [2]

Answer:

$x = \frac{n}{b - {t}^{2} }$

Step-by-step explanation:

I supposed that is a "n".

Steps as below:

${t}^{2} = b - \frac{n}{x} \\ b - \frac{n}{x} = {t}^{2} \\ - \frac{n}{x} = {t}^{2} - b \\ \frac{n}{x} = - ( {t}^{2} - b) \\ \frac{n}{x} = b - {t}^{2} \\ n = x(b - {t}^{2} ) \\ x(b - {t}^{2} ) = n \\ x = \frac{n}{b - {t}^{2} }$

4 0

2 years ago

Read 2 more answers