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viva [34]
3 years ago
13

Please answer quicklyexpand and simplify: 4(5x-3y) (x-4y) -(3x-4y)(2x+3y)​

Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0

Answer: 14x^2-93xy+60y^2 Hope that helps!

Step-by-step explanation:

1. Expand by distributing terms

(20x-12y)(x-4y)-(3x-4y)(2x+3y)

2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)

3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)

4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2

5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)

6. Simplify.

And your answer would be 14x^2-93xy+60y^2

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A rectangular pool is 6 meters wide and 8 meters long. If you swim diagonally across the pool, how many meters would you be swim
Vitek1552 [10]

If you swim diagonally across the rectangular pool, the distance you swim is 10 meters.

<u>Given the following data:</u>

  • Width of rectangle = 6 meters
  • Length of rectangle = 8 meters

To determine the distance you swim in meters, we would apply Pythagorean's theorem since the width is along the x-axis while the length is along the y-axis.

Note: The diagonal side of the rectangular pool represents the hypotenuse.

Mathematically, Pythagorean's theorem is given by the formula:

Hypotenuse^2 = Opposite^2 + Adjacent^2

Substituting the given parameters into the formula, we have;

Hypotenuse^2 = 6^2 + 8^2\\\\Hypotenuse^2 = 36+64\\\\Hypotenuse^2 = 100\\\\Hypotenuse = \sqrt{100}

Hypotenuse = 10 meters.

Read more here: brainly.com/question/18890335

4 0
2 years ago
ASAP PLZZZ The axis of symmetry for the graph of the function f start bracket x end bracket equals one-quarter x square plus b x
Lilit [14]

Answer:

b=-3

Step-by-step explanation:

The  given function is f(x)=\frac{1}{4}x^2+bx+10.

When we compare to ax^2+bx+=0, we have

a=\frac{1}{4} and c=10

The equation of the axis of symmetry of a vertical parabola is:

x=-\frac{b}{2a}

Also from the question the axis of symmetry is x=6

We substitute the values to get:

6=-\frac{b}{2*\frac{1}{4}}

6=-\frac{b}{\frac{1}{2}}

b=-\frac{1}{2}*6

b=-3

7 0
3 years ago
Read 2 more answers
Consider the following time series data. Week 1 2 3 4 5 6 Value 18 12 15 10 18 14 Using the naive method (most recent value) as
fenix001 [56]

Answer:

(a) MAE = 5.20

(b) MSE = 10

(c) MAPE = 38.60%

(d) Forecast for week 7 = 14

Step-by-step explanation:

Note: See the attached excel for the calculations of the Error, Error^2, and Error %.

(a) mean absolute error

MAE = Total of absolute value of error / Number of observations considered = |Error| / 5 = 26 / 5 = 5.20

(b) mean squared error

MSE = Total of Error^2 / Number of observations considered = Error^2 / 5 = 150 / 5 = 10

(c) mean absolute percentage error (Round your answer to two decimal places.)

MAPE = Total of Error % / Number of observations considered = Error % / 5 = 193.02 / 5 = 38.60%

(d) What is the forecast for week 7?

Since the forecast is based on the naive method (most recent value), the forecast for week 7 is value for week 6. Therefore, we have:

Forecast for week 7 = 14

Download xlsx
6 0
3 years ago
How do you do multiplication in 7th grade mathimatics
Mandarinka [93]

Answer:

Learn your timetables daily.

Step-by-step explanation:

You can find songs online to help you memorize and understand them in the simplest form.

6 0
3 years ago
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Amanda earned a score of 940 on a national achievement test that was normally distributed. The mean test score was 850 with a st
hichkok12 [17]

Answer:

lower than Amanda:  816 students

Step-by-step explanation:

An equivalent way in which to state this problem is:  Find the area under the standard normal curve to the left (below) 940.

Most modern calculators have built in distribution functions.

In this case I entered the single command   normalcdf(-1000,940, 850, 100)

and obtained 0.816.

In this particular situation, this means that 0.816(1000 students) scored lower than Amanda:  816 students.

6 0
2 years ago
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