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Misha Larkins [42]
4 years ago
12

Please help with 11 and 12

Mathematics
1 answer:
larisa [96]4 years ago
7 0
11.k>-3(4r+3)/4r-5
12.k<(2x+2)/x+3
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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B9x%7D%5E%7B2%7D%20-%20%7B%28x%7D%5E%7B2%7D%20-%204%29%20%7B%7D%5E%7B2%7D%20
Alenkinab [10]

Answer:

{ x^2+3x-4}

Step-by-step explanation:

Factor top and bottom.

The numerator is a difference of two squares, and the denominator is a quadratic.

\frac{ {9x}^{2} - {(x}^{2} - 4)^{2} }{4 + 3x - {x}^{2} }

= \frac{ (3x+x^2-4)(3x-x^2+4) }{(1+x)(4-x)}

= \frac{ (x-1)(x+4) (1+x)(4-x) }{(1+x)(4-x)}

If x does not equal -1 and does not equal 4, we can cancel the common factors in italics to give

= { (x-1)(x+4)}

= { x^2+3x-4}

3 0
3 years ago
Read 2 more answers
How to find a volume of a triangular prism​
arlik [135]

Answer:

Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.

Step-by-step explanation:

hope it helps <33!

6 0
3 years ago
Read 2 more answers
Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 80 miles per
VashaNatasha [74]

Answer:

2.8 hours

Step-by-step explanation:

Distance = rate * time

If the west-bound train travels at a rate of 80 mph for t hours, then the distance it travels is 80t.  

If the east-bound train travels at a rate of 90 mph for t hours, then the distance it travels is 90t.

The distance between the trains after t hours is 476; therefore, the distance of the west-bound train plus the distance of the east-bound train equals the total distance between them, 476:

80t + 90t = 476 and

170t = 476 so

t = 2.8 hours

7 0
4 years ago
What is 1/10 of an income of $97.50
sladkih [1.3K]
The answer is $9.75.
8 0
3 years ago
Read 2 more answers
Express 80 inches in standard notation using feet and inches.
Vladimir79 [104]

80 inches in standard notation using feet and inches would be expressed as 6 ft 8 inches by converting inches into feet and inches.

The solution to the given problem is to use some standard conversion units that are:

  • 1 foot = 12 inches
  • 1 inch = 0.8333 feet

Solution:

As mentioned above that one inch is equal to 0.8333 foot therefore

1 foot = 12 inches

then,

80 inches would be equal to

= \frac{80}{12} ft

= \frac{20}{3} ft

= 6ft 8 inches

= 6' 8"

Thus, 80 inches in standard notation using feet and inches would be expressed as 6 ft 8 inches by converting inches into feet and inches.

Learn more:

brainly.com/question/884268

3 0
3 years ago
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