MATHEMATICS COLLEGE

If f(x) = x^2 is reflected over the x-axis and the shifted 4 units down, what is the equation of the new function, g(x)?

Answers

Answer 1

Answer:

Answer:

g(x) = -x² - 4

Step-by-step explanation:

In this case, we are only changing a (reflection and vertical shrink/stretch) and k (vertical movement)

k = -4 because we are moving 4 units down

a = -1 because we are just reflecting over the x-axis

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Each side of a square is increasing at a rate of 4 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 25 cm2

Answers

Answer:

The area of the square is increasing at a rate of 40 square centimeters per second.

Step-by-step explanation:

The area of the square ( $A$ ), in square centimeters, is represented by the following function:

$A = l^(2)$ (1)

Where $l$ is the side length, in centimeters.

Then, we derive (1) in time to calculate the rate of change of the area of the square ( $(dA)/(dt)$ ), in square centimeters per second:

$(dA)/(dt) = 2\cdot l \cdot (dl)/(dt)$

$(dA)/(dt) = 2\cdot √(A)\cdot (dl)/(dt)$ (2)

Where $(dl)/(dt)$ is the rate of change of the side length, in centimeters per second.

If we know that $A = 25\,cm^(2)$ and $(dl)/(dt) = 4\,(cm)/(s)$ , then the rate of change of the area of the square is:

$(dA)/(dt) = 2\cdot \sqrt{25\,cm^(2)}\cdot \left(4\,(cm)/(s) \right)$

$(dA)/(dt) = 40\,(cm^(2))/(s)$

The area of the square is increasing at a rate of 40 square centimeters per second.

What is (7p + 6) - (9p - 7)?

Answers

Answer:

-2p +13

Step-by-step explanation:

(7p + 6) - (9p - 7)

Distribute the minus sign

(7p + 6) - 9p + 7

Combine like terms

7p -9p +6 +7

-2p +13

Answer:

-2p + 13

Step-by-step explanation:

Distribute the -1 to (9p - 7):

7p + 6 - 9p + 7

Add like terms (7p and -9p, 6 and 7):

-2p + 13

I BET YOU CANT SOLVE THIS...

Answers

The answer is 61 7/20

13. points help meeeeee

Answers

Answer: A

Step-by-step explanation:

For this problem, we can automatically eliminate B and D. We know this because of the inequality. The inequality is less than or equal to. anything that has an equal to sign is a solid line because any point on the line itself is a solution. If it was a < sign, it shows that the solution is less than, and not equal to. Therefore, the line would be dotted/dashed.

Now that we have figured out what type of line we have, we can see where the shading is located. To do so, we must make all the same variables go on the same side to see the equation.

y ≤ x²-4x+2

From this, we see that y is less than or equal to. This tells us that the shading is under the line. Under the line, y goes towards negative infinity, which makes y less than the line. Above the line, y goes towards positive infinity, which makes y greater than the line. That would make the inequality y≥x²-4x+2. Therefore, A is the correct answer.

It’s either A or B because it has the greater than OR equal to symbol

Which algebraic expression has a term with a coefficient of 9? O A. 6(x + 5) O B. 6x - 9 O C. 6+ x - 9 O D. 9x=6

Answers

Answer:

D is the answer to your question

Find the difference of 5.95 and 4.7

Answers

Answer:

1.25 is your answer.

Final answer:

To find the difference between 5.95 and 4.7, we subtract 4.7 from 5.95, following the rules of subtraction involving decimals, giving us the result of 1.25.

Explanation:

The question asks us to find the difference of 5.95 and 4.7. This can be easily done by using the subtraction operation. Here, since 5.95 is greater than 4.7, we subtract 4.7 from 5.95.

To solve this, follow these steps:

First, align the numbers by their decimal points: 5.95 - 4.7
Since you cannot subtract 7 from 5, you would need to borrow 1 from the number in the next decimal place to the left, i.e., 9.
Now subtract the numbers in each decimal and whole number place: (15 - 7) and (4 - 4).
After performing the subtraction, you get your answer, 1.25.

Therefore, the difference between 5.95 and 4.7 is 1.25.

Learn more about Subtracting decimals here:

brainly.com/question/599168

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