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lubasha [3.4K]
2 years ago
12

Solve x2 + 12x = –20 by completing the square.

Mathematics
1 answer:
Scorpion4ik [409]2 years ago
4 0

Answer:

Solve x2 + 12x = –20 by completing the square.Add to both sides of the equation. The value of in this equation is 36Write the left side of the equation as a binomial squared. The left side of the equation becomes (x+6)2.Use the square root property of equality.Isolate the variable: x = -10 and -2

Step-by-step explanation:

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What is the solution to this system of equations, and what does it mean to the contractor? The solution (0, 20) tells the contra
oksano4ka [1.4K]

The question is incomplete. Here is the complete question:

A contractor has two choices for billing a completed job.

· $500 flat rate, regardless of the number of hours worked

· $20 per hour worked

The graph shows the relationship between pay per hour and number of hours worked for both scenarios.

What is the solution to this system of equations, and what does it mean to the contractor?

A.The solution (0, 20) tells the contractor the minimum amount that can be charged.

B.The solution (0, 500) tells the contractor the maximum amount that can be charged.

C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

D.The solution (20, 25) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Answer:

The graph is attached below.

C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Step-by-step explanation:

As per the graph, the x-axis represents the number of hours worked and the y-axis represents the rate in dollars per hour.

The hourly rate is given as $20.

The solution to the given lines drawn on the graph is the point of intersection of the two curves.

As we observe from the graph, the point of intersection of the two curves is at (25,20). The point tells the contractor that when the hourly rate is $20, then the number of hours worked will be 25.

So, when the hourly rate is same for both the billings, then the number of hours worked will be 25.

Hence, the correct option is (C).

3 0
3 years ago
Read 2 more answers
Mathematical word describes both 27x and 6x in the expression 27x+6x?
Maslowich

The mathematical word describing  both 27x and 6x in the expression 27x+6x is "<u><em>addition</em></u>"

<h3>How to form mathematical expression from the given description?</h3>

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For the given case, the terms were 27x and 6x and the expression formed from them is 27x+6x

This means both the terms were added together, as denoted by '+' (called 'plus') sign.

When two terms are written with 'plus' sign in between, then that means they're added to each other and the result will be addition of both of their's values.

Thus, the mathematical word describing  both 27x and 6x in the expression 27x+6x is <u><em>addition</em></u>"

Learn more about addition here:

brainly.com/question/14148883

7 0
2 years ago
Estimate the product 8.91 × 34,871.081
aleksklad [387]
The way I would do it is by rounding 8.91 up to 9 and I would round 34,871.081 up to 35,000.
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Hopefully I was able to help in some way.
3 0
3 years ago
Omar has a new credit card. He earns 300300300 reward points for every 100100100 dollars he spends. If omar earned 180018001800
jeka94

Omar spent 600 dollars for earning 1800 reward points.

<em><u>Explanation</u></em>

Omar earns 300 reward points for every 100 dollars he spends.

Suppose, he spent  x dollar for 1800 reward points.

Now <u>according to the ratio of "amount of money spent" and "reward points"</u> , the equation will be......

\frac{x}{1800}=\frac{100}{300}\\ \\ 300x=180000\\ \\ x=\frac{180000}{300}=600

Thus, Omar spent 600 dollars for earning 1800 reward points.

5 0
3 years ago
Read 2 more answers
What is the range of the function y = e Superscript 4 x
Alborosie

Answer:

A. Less than zero

Step-by-step explanation:

So If you graph the function,  you'll see that it never actually crosses the y axis into the third or fourth quadrant, the quadrants where all y values become negative.

The answer A is also correct on Edge

Have a great day dude

3 0
3 years ago
Read 2 more answers
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