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sveticcg [70]
3 years ago
7

2 x^{2}y+4 x^{2}y^{2}-x y^{2}/ 2xy

Mathematics
1 answer:
BigorU [14]3 years ago
4 0
<u>2x²y + 4x²y² - xy²</u> =  <u>2xy(x + 2xy - 0.5xy)</u> = x + 2xy - 0.5xy<u>
</u>            2xy                            2xy
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Answer:

A decimal is a fraction written in a special form. ... Decimal comes from the Latin word decimus, meaning tenth, from the root word decem, or 10. The decimal system, therefore, has 10 as its base and is sometimes called a base-10 system. Decimal can also specifically refer to a number in the decimal system.

Step-by-step explanation:

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4 0
2 years ago
Solve the equation y/-4 + 5 = 15
Allushta [10]

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Find all zeros x^3+2x^2+4x+21
dlinn [17]

Answer:

see explanation

Step-by-step explanation:

note when x = - 3

(- 3)³ + 2(- 3)² + 4(- 3) + 21 = - 27 + 18 - 12 + 21 = 0

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\frac{x^3+2x^2+4x+21}{x+3} = (x + 3)(x² - x + 7)

For zeros equate to zero

(x + 3)(x² - x + 7) = 0

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x² - x + 7 = 0 ← solve using quadratic formula

x = (1 ± \sqrt{1-28} ) / 2 = (1 ± 3i\sqrt{3} ) / 2

x = \frac{1}{2} ± \frac{3i\sqrt{3} }{2}

zeros are x = - 3, x = \frac{1}{2} ±\frac{3i\sqrt{3} }{2}


5 0
3 years ago
A 5-gallon jug of cleaning solution contains 6% bleach. How much pure water should be added to it to dilute to 4% bleach?
mihalych1998 [28]
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the mixture will be say "y" gallons, and is 4% bleach, so (4/100) * y is 0.04y gallons in the mixture of bleach.

\bf \begin{array}{lcccl}&#10;&\stackrel{gallons}{quantity}&\stackrel{\textit{\% of bleach}}{amount}&\stackrel{\textit{gallons of bleach}}{amount}\\&#10;&------&------&------\\&#10;\textit{pure water}&x&0.00&0x\\&#10;\textit{6\% solution}&5&0.06&0.3\\&#10;-----&------&------&------\\&#10;mixture&y&0.04&0.04y&#10;\end{array}&#10;\\\\\\&#10;\begin{cases}&#10;x+5=\boxed{y}\\&#10;0x+0.3=0.04y\\&#10;---------\\&#10;0.3=0.04\left( \boxed{x+5} \right)&#10;\end{cases}&#10;\\\\\\&#10;0.3=0.04x+0.2\implies 0.1=0.04x\implies \cfrac{0.1}{0.04}=x\implies 2.5=x
3 0
3 years ago
You have exactly $120 to spend on a new outfit. If your state has 8% sales tax, what is the highest pre-price tax you can pay wi
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<span>You have exactly $120 to spend on a new outfit. If your state has 8% sales tax, what is the highest pre-tax price you can pay without going over budget?8% of 120 is 110.4</span>
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