All categories

2 years ago

Which is the best step to do next to solve the equation by completing the square 9(x^2+49x=22-5x

Mathematics

1 answer:

Romashka [77]2 years ago

3 0

Answer: 0

Step-by-step explanation:

Simplifying

9x2 + 49x = 22 + -5x

Reorder the terms:

49x + 9x2 = 22 + -5x

Solving

49x + 9x2 = 22 + -5x

Solving for variable 'x'.

Reorder the terms:

-22 + 49x + 5x + 9x2 = 22 + -5x + -22 + 5x

Combine like terms: 49x + 5x = 54x

-22 + 54x + 9x2 = 22 + -5x + -22 + 5x

Reorder the terms:

-22 + 54x + 9x2 = 22 + -22 + -5x + 5x

Combine like terms: 22 + -22 = 0

-22 + 54x + 9x2 = 0 + -5x + 5x

-22 + 54x + 9x2 = -5x + 5x

Combine like terms: -5x + 5x = 0

-22 + 54x + 9x2 = 0

You might be interested in

8. Find the congruence transformation that maps ∆ABC to ∆A’B’C’. Explain your reasoning

puteri [66]

The transformation is a reflection on the y-axis.

If we take the y-axis as the mirror line as shown in the diagram below, we can see that the distance of vertices A, B, and C to the mirror line are equals to the distance of vertices A', B' and C' to the mirror line.

6 0

3 years ago

Listed below are prices in dollars for one night at different hotels in a certain region. Find the range, variance, and standar

Artyom0805 [142]

Answer:

Range = 115$

Standard Deviation = 43.76$

Variance = 1915.142$

Option A) The measures of variation are not very useful because when searching for a room, low prices, location, and good accommodations are more important than the amount of variation in the area.

Step-by-step explanation:

We are given the data for prices in dollars for one night at different hotels in a certain region.

234, 160, 119, 131, 218, 207, 146, 141

Range:

Sorted data: 119, 131, 141, 146, 160, 207, 218, 234

$\text{Range} = 234-119 = 115\$$

Standard Deviation:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1356}{8} = 169.5$

Sum of squares of differences = 4160.25 + 90.25 + 2550.25 + 1482.25 + 2352.25 + 1406.25 + 552.25 + 812.25 = 13406

$\sigma = \sqrt{\dfrac{13406}{7}} = 43.76\$$

Variance =

$\sigma^2 = 1915.142\$$

Measure of variance for someone searching for room:

Option A) The measures of variation are not very useful because when searching for a room, low prices, location, and good accommodations are more important than the amount of variation in the area.

5 0

3 years ago

Please help me with this

Citrus2011 [14]

I don't know the answer because of how zoomed in it is. But, you could make a cordinate grid and plot all of the numbers. Then, you would connect all of the lines and you will see that one line is missing in the parallelogram. You finish off that line yourself and write down the cordanite that you needed to complete the parallelogram. You will lastly put U=answer (the cordanite you got from finishing off the parallelogram).

5 0

3 years ago

What is the mean absolute deviation of Robin’s scores?

My name is Ann [436]

Answer:

Step-by-step explanation:

5.2

8 0

3 years ago

Read 2 more answers

Tony rounded each of the numbers 1, 143 and 1, 149

mojhsa [17]