Point \[Q'\] is the image of
\[Q(-4,7)\] under a translation by
\[4\] units to the right and
\[2\] units down.
What are the coordinate

Answers

Answer 1

Answer:

(0,5)

Step-by-step explanation:

Move down 2 and move right 5.

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A parabola opens upward. The parabola goes through the point (3,-1),and the vertex is at (2,-2).

Find the value of A for the parabola. Show your work. Use Part 1 and 2 to write the equation of the parabola.

Answers

The equation of the parabola is: y = (x - 2)² - 2. Finding the value of A

The vertex of the parabola is at (2,-2). Since the parabola opens upward, the equation of the parabola will be of the form:

y = A(x - 2)² - 2

We can plug the point (3,-1) into this equation to find the value of A.

-1 = A(3 - 2)² - 2

Simplifying the right side of the equation, we get:

-1 = A - 2

Adding 2 to both sides of the equation, we get:

1 = A

Therefore, the value of A is 1.

Writing the equation of the parabola

The equation of the parabola is:

y = (x - 2)² - 2

To know more about parabola:

brainly.com/question/11911877

#SPJ2

Answer:

a=1

Step-by-step explanation:

Hopefully this helps :)

What is the value of x in the equation 7x 2y = 48 , when y = 3?

Answers

2y will be known as 2(3) since y=3 so it will be 7x times 6 so the. you subtract 6 from both sides and you get 7x=42 the. you divide 7 on both sides and the answer will be 6

What is the value of x in the equation 7x + 2y = 48

Given y=3

We plug in 3 for y and solve for x

7x + 2y = 48

7x + 2(3) = 48

7x + 6 = 48 ( subtract 6 on both sides)

7x + 6 - 6 = 48 -6

7x = 42

Divide by 7 on both sides

x = 6

the value of x = 6

We can say the value of x=6 when the value of y = 3

Sue And Juanita Were Biking On The Track Around Their Town Park. Sue Started First. When She Had Biked 9 Laps, Juanita Had Biked 3 Laps. When Juanita Had completed 30laps. did both rates remain steady?

Answers

Answer: However, without additional information about their rates of biking, we cannot conclusively determine if both rates remained steady.

Step-by-step explanation:

To determine if both rates remained steady, we need to compare the number of laps completed by Sue and Juanita at different points in time.

According to the information given:

- When Sue had biked 9 laps, Juanita had biked 3 laps.

- When Juanita had completed 30 laps, we don't have information about how many laps Sue had completed.

Based on the given information, we cannot directly determine if both rates remained steady.

To make a comparison, we would need to know the time it took for each person to complete their laps. If their rates of biking remained the same throughout, then their lap counts would remain proportional.

For example, if Sue and Juanita maintained a constant rate of 3 laps per minute, then after the same amount of time, Sue would have completed 9 laps, and Juanita would have completed 27 laps (3 laps per minute multiplied by the same amount of time). In this case, their rates would remain steady.

Which of the following models a linear function for the amount of money, A, Sonya has in a savings account if she has saved $300 and plans to save and additional $20 per month, m?A(x) = 20 + 300m

A(x) = 300 - 20m

A(x) = 15m

A(x) = 300 + 20m

Answers

Final answer:

The equation modelling Sonya's savings is A(m) = 300 + 20m, where A is the total saved, 300 is the initial amount saved, 20 is the amount saved monthly, and m is the number of months.

Explanation:

The correct model for this question is A(m) = 300 + 20m. This is because Sonya initially has $300 in her savings account, represented by the 300 in the equation, and each month she saves an additional $20, represented by the 20m in the equation. The variable m in the equation represents the number of months Sonya has been saving money. So each time m increases by 1 (meaning one month passes), the total amount of money, A, increases by $20. So if m represents 3 months, Sonya has $300 + $20*3 = $360 in her account.