Determine the rate of change shown in the following ordered pairs: (4,9) and (-1, 9)

Answers

Answer 1
Answer: To determine the rate of change between the ordered pairs (4, 9) and (-1, 9), you can use the formula:

Rate of change = (Change in y) / (Change in x)

In this case, both ordered pairs have the same y-coordinate (9), so the change in y is 0. The change in x is the difference between the x-coordinates, which is:

Change in x = (-1) - 4 = -5

Now, you can calculate the rate of change:

Rate of change = (0) / (-5) = 0

So, the rate of change between these two ordered pairs is 0. This means that the y-coordinate (9) remains the same, and there is no change in the dependent variable as the independent variable (x) changes from 4 to -1.

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Answers

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Answers

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Answers

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Tania is going to make soup. She combines 225 grams of water with 300 grams of condensed soup. Tania then adds 50 grams of celery and 10 grams of carrots. How much soup does Tania have before she warms it on the stove?

Answers

Answer:

375 grams of soup sir I hope this helps

Final answer:

Tania has a total of 585 grams of soup before she warms it on the stove. This is found by adding the weight of all the ingredients she used: water (225g), condensed soup (300g), celery(50g), and carrots(10g).

Explanation:

The subject of this question is about adding quantities, which falls under Mathematics. Tania combines multiple ingredients to make soup. She uses 225 grams of water, 300 grams of condensed soup, 50 grams of celery and 10 grams of carrots. To find out the total amount of soup she has before warming it up, you simply need to add up all these amounts. So, 225g (water) + 300g (condensed soup) + 50g (celery) + 10g (carrots) = 585 grams. Therefore, Tania has 585 grams of soup before she warms it up on the stove.

Learn more about Adding Quantities here:

brainly.com/question/14903278

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Please help me with these 6 through 10 :)

Answers

6.) constant = 75

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factor completely 4x5 − 20x4 − 36x3. 4(x5 − 5x4 − 9x3) x3(4x2 − 20x − 36) x2 − 5x − 9 4x3(x2 − 5x − 9)

Answers

Consider the polynomial 4x^5 - 20x^4 - 36x^3. It has three terms and their greatest common factor is 4x^3.

Since

4x^5=4x^3\cdot x^2,\n20x^4=4x^3\cdot 5x,\n36x^3=4x^3\cdot 9,

then

4x^5 - 20x^4 - 36x^3=4x^3(x^2-5x-9) (you write in brackets the same sign as the corresponding term has).

Answer: correct choice is D.

Answer: 4x^3( x^2 - 5x - 9)

Proof of validity is shown below.