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3 years ago

Simplify 5x^2y(4x^3-3y^2)-2yx^3(4x^2-2x)+6

Mathematics

1 answer:

sladkih [1.3K]3 years ago

8 0

The simplified version of this equation is

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There are two mixtures. One mixture contains 5% alchol and the other mixture contains 12% alchol. How much of each should be mix

hichkok12 [17]

Answer:

to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture that contains 5% alcohol and 285,7 gallons of mixture that contains 12% alcohol.

Step-by-step explanation:

According to the statement, there are two mixtures. One mixture contains 5% alcohol and the other contains 12% alcohol.

We want to make 1000 gallons with 10% alcohol, so we have the following system of equations:

A + B = 1000 gallons. [1]

0.05A + 0.12B = 0.1(1000) ⇒ 0.05A + 0.12B = 100 [2]

(Where 'A' represents the mixture that contains 5% alcohol and 'B' the one that contains 12% alcohol).

Solving the system of equations:

A + B = 1000 ⇒ A = 1000 - B [3]

[3] → [2]

0.05(1000 - B) + 0.12B = 100 ⇒ 50 - 0.05B + 0.12B = 100

⇒ 0.07B = 50 ⇒ B = 714.28 ≈ B=714.3 [4]

[4] → [1]

A + B = 1000 ⇒ A + 714.3 = 1000 ⇒ A = 285,7

Therefore, to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture 'A' and 285,7 gallons of mixture 'B'

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3 years ago

56 books 75% increase

Sliva [168]

56 * .75 = 42
42+ 56 = 98
Answer is 98

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3 years ago

Which equation describes a function that is NOT linear?

natka813 [3]

Answer:

Step-by-step explanation:

it’s the third one

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2 years ago

Please help I have a sucky teacher and don’t know what to do

Katyanochek1 [597]

Answer:

1, 4, 3, 6, 2, 7, 5

Step-by-step explanation:

The circle operator in $f\circ g$ means that the function named on the left (f) operates on the result of the function named on the right (g). So, the notation

$(f\circ g)(x)$

means

$f(g(x))$

That is, g(x) is computed and used as input to the function f. When the function definitions are as shown, the evaluation proceeds in these steps.

$(f\circ g)(-4)\\\\=f(g(-4))\quad\text{write as function of a function}\\\\=f(-2(-4)^2)\quad\text{put -4 for x in $g(x)$}\\\\=f(-2(16))\quad\text{evaluate $(-4)^2$}\\\\=f(-32)\quad\text{evaluate $g(-4)$}\\\\=2(-32-1)\quad\text{put -32 for x in $f(x)$}\\\\=2(-33)\quad\text{first step evaluating $f(-32)$}\\\\=-66\quad\text{value of $(f\circ g)(-4)$}$

If your step choices at the bottom are numbered 1 to 7 left-to right, then the sequence is as shown in the Answer section above.

4 0

3 years ago

Convert y+1=3/4(x-16) to standard form.

Lelu [443]

Standard form: Ax + by =C
so
y+ 1 = 3/4(x - 16)

4(y + 1) = 3(x - 16)
4y + 4 = 3x - 48
3x - 4y = 52

Answer is D. last option
3x - 4y = 52

3 0

3 years ago

Simplify 5x^2y(4x^3-3y^2)-2yx^3(4x^2-2x)+6​

Simplify 5x^2y(4x^3-3y^2)-2yx^3(4x^2-2x)+6