Rewrite the equation by completing the square. 4 x^{2} +20 x +25 = 04x 2 +20x+25=0

Answers

Answer 1

Answer:

The equation is in the form of $(x - h)^2 = k$ , where h = -5/2 and k = 25. To complete the square and rewrite the quadraticequation in the form of $(x - h)^2 = k$ , follow these steps.

1. Set the equation equal to zero: $4x^2 + 20x + 25 = 0$

2. Divide the entire equation by the coefficient of $x^2$ to make the leading coefficient 1: $x^2 + 5x + 25/4 = 0$

3. Take half of the coefficient of x (which is 5), square it (which is 25), and add it to both sides of the equation:

$x^2 + 5x + 25/4 + 25 = 0 + 25\nx^2 + 5x + 25/4 + 25 = 25$

4. Simplify the left-hand side by factoring the perfect square trinomial:

$(x + 5/2)^2 = 25$

Now, the equation is in the form of $(x - h)^2 = k$ , where h = -5/2 and k = 25.

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Answer 2

Answer: the answer is x=-2.5 when you complete the square

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The homeowner's association is sponsoring a spaghetti supper. Tickets to the event cost $10.50 per person. Sixty-two people have already purchased tickets. The total number of tickets available is 245. If y = 10.50x represents the amount of money that can be received from the number of tickets that REMAIN to be sold, what values are appropriate for the domain of the function? A) x > 62 B) 1 < x ≤183 C) 0 ≤ x ≤183 D) 62 ≤ x ≤245

Answers

Answer:

0 ≤ x ≤183

Step-by-step explanation:

Originally there were 245 tickets available. After the sale of 62 tickets, 183 are left to sell. There cannot be a negative number of tickets sold; but, there could be from zero up to and including 183 sold in the future.

The choice we are looking for will show all of the possible numbers of tickets that could still be sold.

There is a possibility that is zero tickets to be sold up to all the rest of the tickets (245-62=183.

Choice c shows all of these possibilities. This choice basically says the remaining number of tickets sold could be 0 all the way up to 183.

3. jamal found the mean hourly wage of employees at his company using the data in the table. In a report he stated, “The typical salary at the company is about $23.00 per hour”. How is this graph misleading? 6.50 6.50 6.50 6.50 6.50
6.50 6.50 7.50 7.50 7.50
7.50 7.50 7.50 7.50 7.50
60.00 65.00 75.00 75.00 75.00
A. The mean is not a good measure of the salaries because five employees have salaries far above fifteen employees’ salaries.
B. The mean of the data is not about $23.00.
C. Jamal should always use the highest wage
D. His statement is not misleading

4. which display is best to determine the relationship between the number of hours worked and the amount of money paid.
A. histogram with intervals of 5
B. histogram with intervals of 3
C. line plot
D. line graph

Answers

3. is A.

This is because the extreme values from the 5 employees affect the mean greatly, making it seem like a higher value, even though it is low.

4. is D.

By creating a line graph, you will be able to see the relationship easily between the two factors, and even create a line of best fit.

By how many is 450 x 1000 less than 500,000

Answers

it is 50,000 less

450 x 100 = 450,000

The answer is 50,000. It is 50,000 because 450 times 1000 equals 450,000. And 500,000 minus 450,000 equals 50,000

Or 450 x 1000= 450,000

500,000 - 450,000= 50,000

Write two expressions where the solution in 28

Answers

14+14=28 0r 7x4=28or14x2=28 or28-0=28

What is 9,574.00 x 5.05% =

Answers

483.487

20 charrrrrrrrrrrrrrrrrrrrrrrrr

9574/100=95.74 x 5.05= 483.487 x 4628904.538 (Answer)
Glad to help!

Four times what equals thirty?

Answers

Hi there!

Great question! :D

To figure out our unknown value, we can replace our unknown value, or blank space, with x.

So our equation would look something like $4x = 30$

We have a variable next to a number to show we are multiplying. But since we're figuring out an unknown, we'll do the opposite, which is division.

$4x = 30$

We'll divide both sides by our 4.

$(4x)/(4) = (30)/(4)$

We can eliminate the variable right away on our left side of our equation. This makes it look like there's not a lot of steps through solving.

$(30)/(4) = 7.5$

Final answer:

$x = 7.5$

When in doubt of your answer, we can multiply 4 by 7.5 and see what we get. We should get 30.

$4 * 7.5 = 30 :)$

We were right!

Hope this helps! :D

4x=30
4x/4=30/4
x=7.5

Hope this helps!!

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