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2 years ago

Functions table please help

Mathematics

1 answer:

slamgirl [31]2 years ago

7 0

The one for 9 is 15
The one for 7 is 11
The one for 1 is -1
The one for 0 is -3

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The amount of caffeine consumed from a glass of Diet Pepsi is proportional to the number of ounces that was drank. The table bel

Vilka [71]

Answer:

Constant of proportionality: $k=3$

Equation: $c=3d$

Step-by-step explanation:

By definition, Direct proportion equations have the following form:

$y=kx$

Where "k" is the Constant of proportionality.

In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.

So, the equation that represents this relationship will have this form:

$c=kd$

Then, the first step is to find the Constant of proportionality "k".

Knowing that:

$c=24;d=8$

We can substitute values into the equation:

$24=k(8)$

Now, solving for "k", we get:

$\frac{24}{8}=k\\\\k=3$

Therefore, we can write the following equation that represents that proportional relationship:

$c=3d$

6 0

3 years ago

Write a sequence of transformation that maps quadrilateral ABCD onto quadrilateral A. B. C. D IN THE PICTURE

Mice21 [21]

Answer:

The sequence of transformation is reflected across the y-axis and translated 2 units down

Step-by-step explanation:

Lets revise some transformation

- If point (x , y) reflected across the x-axis

∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) translate h units to the right

∴ Its image is (x + h , y)

- If point (x , y) translate h units to the left

∴ Its image is (x - h , y)

- If point (x , y) translate k units up

∴ Its image is (x , y + k)

- If point (x , y) translate k units down

∴ Its image is (x , y - k)

* Now lets solve the problem

∵ The vertices of figure ABCD are:

A (-1 , 3) , B (1 , 0) , C (2 , 3) , D (1 , 4)

∵ The vertices of figure A"B"C"D" are:

A" (1 , 1) , B" (-1 , -2) , C" (-2 , 1) , D" (-1 , 2)

* Lets compare between ABCD and A"B"C"D"

∵ All x-coordinates has opposite signs

-1 ⇒ 1 , 1 ⇒ -1 , 2 ⇒ -2 , 1 ⇒ -1

∴ The ABCD is reflected across the y-axis

∵ All y-coordinates subtracted by 2

3 ⇒ 1 , 0 ⇒ -2 , 3 ⇒ 1 , 4 ⇒ 2

∴ The ABCD is translated 2 units down

* The sequence of transformation is reflected across the y-axis

and translated 2 units down

5 0

3 years ago

How much interest is earned in 2 years on an investment of $2000? The interest rate is 3%.

Lelechka [254]

In this sum we will calculate using the simple interest.

Simple interest is calculated from the formula :

I = PRT

where I is the interest, P is the principal, R is interest rate per year and t is time in years.

I = 2000 × 3 % x 2

We have to turn 3% to its decimal fraction which is 0.03, so:

I = 2000 × 0.03 × 2

I = 60 × 2

I = 120

Therefore the interest earned in two years will amount to 120 $

7 0

3 years ago

Which angle is supplementary to angle # 3?

stealth61 [152]

Check the picture below.

4 0

2 years ago

The value of a house is increasing by $2500 per year. If it is worth $190,000 today, what will it be worth in four years?

sineoko [7]

Answer:

5000

Step-by-step explanation:

i dont know this answer but i try that

3 0

3 years ago