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Inessa05 [86]
2 years ago
6

(x)=4(x+3)(3x-8) in standard form

Mathematics
1 answer:
UNO [17]2 years ago
5 0

Answer:

12x² +3x = 96

Step-by-step explanation:

x = 4(x + 3)( 3x - 8)

x =  (4x + 12) (3x - 8)

x = 4x(3x - 8) + 12(3x - 8)

x = 12x² - 32x + 36x - 96

x = 12x² + (-32x + 36x) - 96

x = 12x² + 4x - 96

0 = 12x² + 4x -x - 96

0 = 12x² + 3x -96

96 = 12x² + 3x  same as 12x² +3x = 96

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5.
irina [24]

Answer:

160 m²

384 m²

Step-by-step explanation:

The area of a trapezium is given by :

A = 1/2(a + b)h

h = height ; a and b = lengths

From the diagram :

A = 1/2(12 + 20)10

A = 1/2(32)10

A = 16 * 10

A = 160 m²

2.)

Area of parallelogram = base * height

Base = 24 ; h = 16

A = 24 * 16

A = 384 m²

7 0
2 years ago
A florist can make a grand arrangement in 18 minutes or a simple arrangement in 10 minutes. The florist makes at least twice as
Colt1911 [192]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of simple arrangements and y be the number of grand arrangements.

1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so

x\ge 2y

2. A florist can make a grand arrangement in 18 minutes =\dfrac{3}{10} hour, then he can make y arrangements in \dfrac{3}{10}y hours.

A florist can make  a simple arrangement in 10 minutes =\dfrac{1}{6} hour, so he can make x arrangements in \dfrac{1}{6}x hours.

The florist can work only 40 hours per week, then

\dfrac{3}{10}y+\dfrac{1}{6}x\le 40

3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.

The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.

Total profit: $(10x+25y)

Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines x=2y and \dfrac{3}{10}y+\dfrac{1}{6}x=40

But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is

\$(10\cdot 126+25\cdot 63)=\$2,835

8 0
2 years ago
PLEASE HELP WILL GIVE BRAINLIEST
Dovator [93]
The second one is right
8 0
2 years ago
The TV weatherman says "there's a 30% chance of rain tomorrow ". Explain what this statement means?
zavuch27 [327]
It means the probability that at least 0.01 of an inch of precipitation will fall on your rooftop if you live in the forecast area.
7 0
3 years ago
Which fraction is equivalent to 6/-8<br> 1..-8/6<br> 2..-6/8<br> 3..-6/-8<br> 4..8/6
antoniya [11.8K]
Number 2 is the answer to you question
3 0
2 years ago
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