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3 years ago

Math question on big ideas math the 1/3 confuses me I hate fractions

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

6 0

a simple way to do away with denominators, is we can simply multiply both sides by the LCD, in this case the LCD is 3, so let's multiply both sides by 3.

$\bf 3\left( \cfrac{1}{3}x+y \right)=3(4)\implies x+3y=12\implies 3y=12-x
\\\\\\
y=\cfrac{12-x}{3}\implies \stackrel{\textit{distributing the denominator}}{y=\cfrac{12}{3}-\cfrac{x}{3}}\implies y=4-\cfrac{1}{3}x$

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Solve 2x2 – 3x = 12 using the quadratic formula.

icang [17]

Quadratic Formula: (-b +/- sqrt(b^2 - 4ac)) / 2a

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2x^2 - 3x - 12 = 0

a = 2

b = -3

c = -12

(--3 +/- sqrt( (-3)^2 - 4(2)(-12) )) / 2(2)

3 +/- sqrt( 9 + 96 ) / 4

3 +/- sqrt(105) / 4

Answers: $\frac{3 + \sqrt{105} }{4}$ , $\frac{3 - \sqrt{105} }{4}$

Hope this helps!

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3 years ago

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mr_godi [17]

Answer:

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Step-by-step explanation:

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3 years ago

The figure below is made of two identical triangular prisms. What is the volume of the figure?

lubasha [3.4K]

Answer:

A triangular prism is 1/2 the volume of a rectangular prism with the same dimensions.

V = BH (Base x Width) of a triangular its 1/2BH

The base is 10 x 5, 50 is the base.

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The total volume is 300 inches squared.

Step-by-step explanation:

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3 years ago

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Arlecino [84]

34 pounds that’s the answer

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3 years ago

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Divide using long division. check your answers. 1. (x 3 – 13x 2 + 7x – 48) ÷ (x 2 + 3) 3. (x 3 + 5x 2 – 3x – 1) ÷ (x – 1) 5. (x

artcher [175]

1. We can conclude that the result of the division is $x-13$ with a remainder of $4x-9$ , or in other notation: $x-13+ \frac{4x-9}{x^2+3}$ . Check the steps in the first image.

3. We can conclude that the result of the division is $x^{2} +6x+3$ with a remainder of 2, or in other notation: $x^{2}+6x+3+ \frac{2}{x-1}$ . Check the steps in the firts image.

5. We can conclude that the result of the division is $x+1$ with a remainder of 5, or in other notation: $x+1+ \frac{5}{x-4}$ . Check the steps in the first image.

7. To check if $x+4$ is a factor of $x^{3}+3x^{2}-10x-24$ , we are going to perform long division. If the result of the long division has no remainder, $x+4$ is a factor of $x^{3}+3x^{2}-10x-24$ .
Since the result of the long division has no remainder, we can conclude that $x+4$ is a factor of $x^{3}+3x^{2}-10x-24$ . Check the steps in the second image.

9. To check if $x-3$ is a factor of $x^{3}+3x^{2}-10x-24$ , we are going to perform long division. If the result of the long division has no remainder, $x-4$ is a factor of $x^{3}+3x^{2}-10x-24$ .
Since the result of the long division has no remainder, we can conclude that $x-4$ is a factor of $x^{3}+3x^{2}-10x-24$ . Check the steps in the third image.

10. We can conclude that the result of the synthetic division is $-2x^{2}+9x+5$ . Check the steps in the fourth image.

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3 years ago