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3 years ago

LOTS OF POINTS Simply the rational expression. Show and explain all steps.

Mathematics

1 answer:

zvonat [6]3 years ago

7 0

Answer:

(x - 7y)/(x + 3y)

Step-by-step explanation:

x² - 5xy - 14y²

x² - 7xy + 2xy - 14y²

x(x - 7y) + 2y(x - 7y)

(x - 7y)(x + 2y)

x² + 5x + 6y²

x² + 3xy + 2xy + 6y²

x(x + 3y) + 2y(x + 3y)

(x + 3y)(x + 2y)

[(x - 7y)(x + 2y)] ÷ [(x + 3y)(x + 2y)]

(x - 7y)/(x + 3y)

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Kristian and Stephanie share money in the ratio 3 :2 Kristian receives $72 How much will Stephanie receive

koban [17]

Answer:

Step-by-step explanation:

Kristian : Stephanie

3 2

Kristian receives 72

72/3 = 24

Multiply each side by 24

Kristian : Stephanie

3*24 2*24

72 48

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3 years ago

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Harlamova29_29 [7]

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Step-by-step explanation:

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3 years ago

Tanx-cotx / sinxcosx =sec^2-csc^2x. Please show all steps.

Katarina [22]

$\bf \cfrac{tan(x)-cot(x)}{sin(x)cos(x)}\implies \cfrac{\frac{sin(x)}{cos(x)}-\frac{cos(x)}{sin(x)}}{sin(x)cos(x)}\implies \cfrac{\frac{sin^2(x)-cos^2(x)}{cos(x)sin(x)}}{\frac{sin(x)cos(x)}{1}}
\\\\\\
\cfrac{sin^2(x)-cos^2(x)}{cos(x)sin(x)}\cdot \cfrac{1}{sin(x)cos(x)}\implies \cfrac{sin^2(x)-cos^2(x)}{cos^2(x)sin^2(x)}
\\\\\\
\textit{and now, we distribute the denominator}
\\\\\\
\cfrac{sin^2(x)}{cos^2(x)sin^2(x)}-\cfrac{cos^2(x)}{cos^2(x)sin^2(x)}\implies 
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3 0

3 years ago

lewis rolls a number cube and then chooses a card from a set of cards numbered 1 through 5. What is the probability that he will

iragen [17]

Answer:

$\frac{1}{5}$

Step-by-step explanation:

Sample Space for the Cube, A={1,2,3,4,5,6}

n(A)=6

Even Numbers in A={2,4,6}

Sample Space for the Cards, B={1,2,3,4,5}

n(B)=5

Even numbers in the card,B= {2,4}

The two events are INDEPENDENT Events as the outcome of the cube does not affect the card picked, therefore:

P(A and B)=P(A) X P(B)

= $\frac{3}{6} X \frac{2}{5}$

= $\frac{1}{5}$

3 0

3 years ago

Read 2 more answers

which equation represents this sentence? one half the sum of a number and four is less than the quotient of five and the number

Setler79 [48]

Answer:

The fourth one

Step-by-step explanation:

Three less then the quotient means you are subtracting 3 from a division problem. 1/2 the sum of a number and four means that there is going to be a variable and 4 in parenthesis that you will add before you multiply by 1/2.

7 0

3 years ago