All categories

3 years ago

Factor completely.

Mathematics

1 answer:

Zolol [24]3 years ago

4 0

Answer:

B) 6(x-5) (x+5)

Step-by-step explanation:

Common factor.

6 ( ^2 − 25)

Use the sum-product pattern.

6 ( ^2+5−5−25).

Common factor from the two pairs.

6((+5)−5(+5)).

Rewrite in factored form.

6 ( − 5 ) ( + 5).

You might be interested in

If you save a hundred dollars every two weeks for five years how much money would you have?

Hitman42 [59]

Answer:

$13,000

Step-by-step explanation:

52 weeks in a year means 26 two week periods (fortnights, if you feel it is important in social studies). This means 2600 dollars per year. Multiplty by 5 to get $13,000. Hope this helps!

3 0

3 years ago

What is the graph for y=2x-4

Yuliya22 [10]

This is the graph for the equation y=2x-4.

5 0

3 years ago

What is the volume of the cardboard container

Mariana [72]

Answer: The volume of the cardboard container is 516 centimeters cubed.

Explanation: The volume of a pentagonal prism is equal to the area of the base times the height of the pentagonal prism. The area of the base here is 43 centimeters squared and the height of the pentagonal prism is 12 centimeters. So we get 43 multiplied by 12, which equals 516, and the volume of a pentagonal prism is always written in cubes units, so our answer is that the volume of the cardboard container is 516 centimeters cubed.

6 0

2 years ago

Write a quadratic equation in standard form given the roots: -3 and 4/5

Westkost [7]

Answer: $x^{2}+\frac{11x}{5}-\frac{12}{5}$

Step-by-step explanation:

The roots are really just what x is when the equation is equal to zero. So, an equation with these roots would look like this:

(x+3)(x-4/5)=y

however, this is not standard form. To get standard form we will need to expand the equation using FOIL.

x^2+3x-4x/5-12/5=

x^2+11x/5-12/5

and that would be your answer.

This stuff is a bit tricky and it get annoying with those pesky fractions. If you have any questions just comment.

8 0

2 years ago

The dot plot represents a sampling of ACT scores: dot plot titled ACT Scores with Score on the x axis and Number of Students on

Fantom [35]

Step-by-step explanation:

Hi,

To draw a box plot, you require certain points on the graph calculated.

Quartile 1
Quartile 2 or Median
Quartile 3

As per the information provided, your data looks like this:

(Each dot in the dot plot shows the frequency of the score)

18, 19, 19, 19, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 24, 24, 25.

Using the data, we first calculate the median.

Median of any data set is the most central value. Since there are 18 values in this data set, we consider the two most central values, which are the 9th and 10th values.

The 9th value of the data corresponds to 22.

The 10th value of the data corresponds to 22.

Hence the median is 22.

(Had these two values been different, we would have simply add them and divided the sum by 2 to find the median.)

Now we find Quartile 1, which is one-fourth value of the data.

$Q_{1} = \frac{n}{4} = \frac{18}{4} = 4.5$

4.5th value is Q1, which lies between 4th and 5th value.

4th value of the data set corresponds to 19.

5th value of the data set corresponds to 21.

We add them both and divide the sum by 2.

$\frac{19+21}{2} = 20$

Hence the first quartile is 20.

Now we find Quartile 3, which is three-fourth value of the data.

$Q_{3} = \frac{3n}{4} = \frac{18*3}{4} = 13.5$

13.5th value is Q3, which lies between 13th and 14th value.

13th value of the data set corresponds to 23.

14th value of the data set corresponds to 23.

Hence the third quartile is 23.

To plot the box, the top line of the box is at Q3, central line at Median and lower end of the box at Q1.

The two whiskers of the plot, upper is at the highest point: 25 and lower is at the lowest point: 18.

Your plot should look like this:

7 0

3 years ago