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3 years ago

(3×²+5y²)³= (2y³-×5)²=

1 answer:

7 0

First one:
(3x^2+5y^2)^3
Step 1: Use the binomial theorem to expand
(3x^2)+3(3x^2)^2(5y^2)+3(3x^2)(5y^2)2+(5y^2)^3
Step 2: Simplify each term
27(x^2)^3+3(3x^2)^2(5y^2)+3(3x^2)(5y^2)^2+(5y^2)^3
Step 3: Multiply the exponents
27x^6+27x^4(5y^2)+3(3x^2)(5y^2)^2+(5y^2)^3
27x^5+135x^4y^2+3(3x^2)(5y^2)^2+(5y^2)^3
Keep going to get the final answer:
27x^6+135x^4y^2+225x^2y^4+125y^6

2nd question: (2y^3-5x)^2
Do the same thing...step by step
Answer: 4y^6-20xy^3+25x^2

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A woman bought some large frames for $19 each and some small frames for $9 each at a closeout sale. If she bought 18 frames for

MAXImum [283]

Answer: 6 large frames and 12 small frames

Step-by-step explanation:

We define the following:

x = number of large frames

y = number of small frames

Make the following equations:

x + y = 18

19x + 9y = 222

Use system of equations to solve. We find the value of x first.

y = 18 - x

⇒ 19x + 9(18 - x) = 222

⇒ 19x + 162 - 9x = 222

⇒ 10x + 162 = 222

⇒ 10x = 60

⇒ x = 6

Find value of y:

6 + y = 18

y = 12

∴ 6 large frames and 12 small frames were purchased.

8 0

2 years ago

Of the smoothies sold yesterday at Marlins smoothie shop, 5/6 were banana and another 1/12 were strawberry . What fraction of th

professor190 [17]

Answer:

The fraction of smoothies sold were either banana or strawberry is $\frac{11}{12}.$

Step-by-step explanation:

Given:

Of the smoothies sold yesterday at Marlins smoothie shop, 5/6 were banana and another 1/12 were strawberry.

Now, to find the fraction of the smoothies sold were either banana or strawberry.

Fraction of smoothie were of banana = $\frac{5}{6} .$

Fraction of smoothie were of strawberry = $\frac{1}{12} .$

Now, to get the fraction smoothies sold were either banana or strawberry by adding both the fractions of banana and strawberry:

$\frac{5}{6} +\frac{1}{12} \\\\=\frac{10+1}{12} \\\\=\frac{11}{12}$

Therefore, the fraction of smoothies sold were either banana or strawberry is $\frac{11}{12}.$

7 0

3 years ago

A garden is in the shape of a square. the area of the garden is 178 square meters. the exact length of a side of the garden is b

Tanya [424]

The answer to this is <span>13.34.</span>

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3 years ago

Which graph is the function. f(x)=x^3-3x^2-4x

Sedaia [141]

Answer:

See below description.

Step-by-step explanation:

The function $f(x) = x^3-3x^2-4x$ has the following characteristics:

Factors: $x(x+1)(x-4)$
Zeros/roots: x=0, x=-1, amd x=4
Positive leading coefficient
Graph starts down and curves up through -1 on the x-axis and back down to cross through 0. It curves back up again through 4 and finished off heading into positive infinity.
Its graph is the shape of a sideways S.
It has a relative maximum at 1.128 and relative minimum value of -13.128

6 0

3 years ago

Read 2 more answers

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Natasha_Volkova [10]

Answer:

pretty sure its 9

$\sqrt{9 = + 3}$

8 0

3 years ago