3 years ago

Help! Rational equations confuse me

Mathematics

1 answer:

torisob [31]3 years ago

6 0

Cross Multiply to get 3x+7=10x

Divide by 7

x = 1

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What is the product?<br> (-3s+2t)(4s-t)

Marizza181 [45]

Answer:

12s² + 11st - 2t²

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

- 3s(4s - t) + 2t(4s - t) ← distribute both parenthesis

= - 12s³ + 3st + 8st - 2t² ← collect like terms

= - 12s² + 11st - 2t²

5 0

4 years ago

Read 2 more answers

Which expression is equivalent to ( 4mn / m^-2n^6)^-2

inn [45]

Here are a few rules with exponents that apply here:

Raising a power to a power: $(x^m)^n=x^{m*n}$
Dividing exponents of the same base: $\frac{x^m}{x^n}=x^{m-n}$
Converting negative exponents to positive ones: $x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m$

Firstly, solve the outer exponent:

$(\frac{4mn}{m^{-2}n^{6}})^{-2}=\frac{4^{-2}m^{-2}n^{-2}}{m^{-2*-2}n^{6*-2}}=\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}$

Next, divide:

$\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}=4^{-2}m^{-2-4}n^{-2-(-12)}=4^{-2}m^{-6}n^{10}$

Next, convert the negative exponents:

$4^{-2}m^{-6}n^{10}=\frac{n^{10}}{4^2m^6}=\frac{n^{10}}{16m^6}$

<u>Your final answer is n^10/16m^6 , or B.</u>

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4 years ago

In ΔUVW, w = 7.1 inches, v = 6.7 inches and ∠V=123°. Find all possible values of ∠W, to the nearest 10th of a degree.

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Answer:

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Step-by-step explanation:

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3 years ago

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iogann1982 [59]

Answer:

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Step-by-step explanation:

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A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is

Aleksandr-060686 [28]

Answer:

B, D, B, D

Step-by-step explanation:

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3 years ago