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elena-s [515]
3 years ago
6

LOTS OF POINTS Simply the rational expression. Show and explain all steps.

Mathematics
1 answer:
zvonat [6]3 years ago
7 0

Answer:

(x - 7y)/(x + 3y)

Step-by-step explanation:

x² - 5xy - 14y²

x² - 7xy + 2xy - 14y²

x(x - 7y) + 2y(x - 7y)

(x - 7y)(x + 2y)

x² + 5x + 6y²

x² + 3xy + 2xy + 6y²

x(x + 3y) + 2y(x + 3y)

(x + 3y)(x + 2y)

[(x - 7y)(x + 2y)] ÷ [(x + 3y)(x + 2y)]

(x - 7y)/(x + 3y)

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. The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1220 and a standard
rewona [7]

Answer:

0.78015

Step-by-step explanation:

Given that :

Mean, μ = 1220

Standard deviation, σ = 110

Probability that sales is less Than 1305 on a given day

P(x < 1305) :

Obtain the standardized score Z

Z = (x - μ) / σ

Z = (1305 - 1220) / 110

Z = 85 / 110

Z = 0.7727272 = 0.7727

P(Z < 0.7727) = 0.78015 (Z probability calculator)

6 0
3 years ago
Which equation describes a line that passes through (-5,-8) and is perpendicular to y= 5/4x + 10
lara31 [8.8K]
Answer: y = -4/5x - 12

1. First find slope. Since you are trying to find a line perpendicular to y = 5/4x + 10, the slope would be the negative reciprocal of 5/4x.

slope = - 4/5x

2. plug in (-5,-8) and the slope of -4/5 to the point slope form equation
(y-y2) = slope (x-x2)

= y+8=-4/5(x+5)

3. solve and simply y+8=-4/5(x+5)

y = -4/5x - 12 is your answer
8 0
3 years ago
AOC and BOD are diameters of a circle, centre O. Angles BAD and CDA are 90°. Prove that triangle AND and triangle DCA are congru
ololo11 [35]

Answer:

By using SAS which stands for Side, Angle, Side.

Step-by-step explanation:

This means that if we have two angles and side measures that are equal to the corresponding angles and side measures of the other triangle then they are congruent.

5 0
3 years ago
7.
snow_tiger [21]

Answer:

Range is 18.

Step-by-step explanation:

Range can be calculated by subtracting the smallest value of the data set from the largest value of the data set.

The values are:

13, 17, 18, 15, 12, 21, 10, 6, 8, 11, 3

Largest Value in this data set:  21

Smallest Value in this data set: 3

Range = Largest Value - Smallest Value

Range = 21 - 3

Range = 18

6 0
3 years ago
````````````````````````````````````````````````````````````````````````````````````````````
CaHeK987 [17]

Answer:

14 miles

Step-by-step explanation:

make it into an equation 1.50x+3=24 then solve

7 0
3 years ago
Read 2 more answers
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