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Anuta_ua [19.1K]
3 years ago
15

An online DVD rental site charges a monthly membership fee of $10,

Mathematics
1 answer:
Taya2010 [7]3 years ago
5 0

Answer:

666

Step-by-step explanation:

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Factor the trinomial. Factor out the GCF first.<br> 5x^2y - 30xy^2 - 35y^3
anzhelika [568]

Answer: 5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)

Step-by-step explanation:

GCF = Greatest common factor.

For example: 6 is the GCF of 12 and 18.

The given expression: 5x^2y - 30xy^2 - 35y^3

It can be written as

5x^2y - (5\times6)x( y\times y) - (5\times7)(y^2\times y)

Taking out common factor  5y , we get

5y(x^2-6xy-7y^2)\\\\ =5y(x^2+xy-7xy-7y^2)\  \ [\because-6xy=xy-7xy]\\\\=5y(x(x+y)-7y(x+y))\\\\= 5y((x+y)(x-7y))\\\\=5y(x+y)(x-7y)

Hence, 5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)

3 0
3 years ago
Add (2x + 2) and (4x – 7)
natta225 [31]
The right answer is 6x + 5
4 0
3 years ago
Jane multiplies her number by three and subtracts 2.
katrin [286]

Answer:

Let the number they chose be 'x'.

Result of Jane = 3x -2

Result of Elliot = 2x+3

Given that,

The product of their result = 110

or, (3x-2)(2x+3) = 110\\or, 6x^{2} +9x-4x-6 = 110\\or, 6x^{2} +5x - 6 = 110\\or, 6x^{2} +5x - 6-110 = 0\\\\or, 6x^{2} +5x - 116 = 0\\or, 6x^{2} +29x - 24x - 116 = 0\\or, x (6x +29) -4(6x+29) = 0\\or, (x-4)(6x+29) = 0\\i.e. x=4 or x=\frac{-29}{6} \\So,~ the ~number ~they~ chose~was ~either ~4 ~or ~\frac{-29}{6}

3 0
3 years ago
An inground swimming pool contains 2.3 times 10 superscript 4 units of water. which unit of measure was used? teaspoons cubic ce
Katarina [22]

The measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.

<h3>What is the Unit conversion?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,

Though the real measurement is still the same the units and numerical values have been changed.

As it is given, the pool's volume or the amount of water in the pool is equal to 2.3×10⁴ units.

We know that an average swimming pool has a volume of water that is in gallons, therefore, the unit of water that will be filled in the swimming pool will be equal to 2.3×10⁴ gallons.

Hence, the measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.

Learn more about Units conversion:

brainly.com/question/4736731

7 0
2 years ago
Read 2 more answers
What is the area of the triangle
vesna_86 [32]
Area of triangle = base x height x 1/2


Area of the triangle:
= 12 x 15 x 1/2

= 180 x 1/2

= 90 units^2
8 0
3 years ago
Read 2 more answers
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