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bogdanovich [222]
3 years ago
8

Simplify the expression (3 + 6x) - 2 (x + 1 ) + 5.

Mathematics
1 answer:
balandron [24]3 years ago
7 0
Step 1 :

Equation at the end of step 1 :

((6x + 3) - 2 • (x + 1)) + 5
Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

4x + 6 = 2 • (2x + 3)

Final result :

2 • (2x + 3)
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Write a paragraph comparing the two classes' semester grades. Be sure to compare the extremes, the quartiles, the medians, and t
Gnom [1K]

Answer:

Second class have higher marks and greater spread.

Step-by-step explanation:

First box plot  represents class first. From the first box plot, we get

\text{Minimum value }= 53,Q_1=62,Median=80,Q_3=86,\text{Maximum value }= 89

Range=Maximum-Minimum=89-53=36

IQR=Q_3-Q-1=86-62=24

Second box plot  represents class second. From the second box plot, we get

\text{Minimum value }= 56,Q_1=62,Median=74,Q_3=89,\text{Maximum value }= 96

Range=Maximum-Minimum=96-56=40

IQR=Q_3-Q-1=89-62=27

First class has greater minimum value, first quartile of both classes are same, second class has greater median, first class has greater third quartile and first class has greater maximum value. It means second class have higher marks but class first have less variation.

Second class has greater range and greater inter quartile range. It means data of second class has greater spread.

Therefore, second class have higher marks and greater spread.

3 0
3 years ago
You have 42,784 grams of a radioactive kind of curium. If its half-life is 18 years, how much will be left after 72 years?
s344n2d4d5 [400]

Answer:

2,674.14 g

Step-by-step explanation:

Recall that the formula for radioactive decay is

N = N₀ e^(-λt)

where,

N is the amount left at time t

N₀ is the initial amount when t=0, (given as 42,784 g)

λ = coefficient of radioactive decay

  = 0.693 ÷ Half Life

  = 0.693 ÷ 18

  = 0.0385

t = time elapsed (given as 72 years)

e = exponential constant ( approx 2.7183)

If we substitute these into our equation:

N = N₀ e^(-λt)

= (42,787) (2.7183)^[(-0.0385)(72)]

= (42,787) (2.7183)^(-2.7726)

=  (42,787) (0.0625)

= 2,674.14 g

6 0
3 years ago
Please solve this fast​
Korolek [52]

Step-by-step explanation:

1.

qr - pr \: + qs - ps

r(q - p) + s(q - p)

(r + s)(q  - p)

2.

{x}^{2}  + y - xy - x

{x}^{2}  -  x - xy + y

x(x - 1) - y(x - 1)

3.

6xy + 6 - 9y - 4x

- 4x + 6 + 6xy - 9y

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

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

4.

{x}^{2}  - 2ax - 2ab + bx

x(x - 2a) - b(x - 2a)

-(x +b)(2a-x)

5.

axy + bcxy - az - bcz

xy(a + bc) - z(a  + bc)

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3 0
3 years ago
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2 questions here:
solmaris [256]
<span>1. Make y the subject 
a) 4y=12x+18
y = 3x + 4.5

b) 2x=7-3y
3y = -2x + 7
y = -2/3x + 7/3

2.
a) what is the equation of the line which passes through both (-2,-4) and (6,16)

slope = (16 + 4)/(6 +2) = 20/8 = 2.5
y = mx + b
-4 =2.5(-2) +b
-4 = -5 +b
b = 1

equation
y = 2.5x + 1


b) what is the equation of the line perpendicular to y= 1/2X + 7 passing through point (3,9)

</span>y= 1/2X + 7
slope = 1/2

slope of line perpendicular = -2

passing through point (3,9)

y = mx + b
9 = -2 (3) + b
b = 15

equation

y = -2x + 15

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3 years ago
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If Daniel ate 36 Snicker bars, what does he have now? Diabetes???
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His stomach is gonna hurt really bad

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