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Alexeev081 [22]
3 years ago
6

Which phrases can be used to represent the inequality 12 minus 3 x greater-than-or-equal-to 9? Select two options.

Mathematics
2 answers:
koban [17]3 years ago
6 0

Answer: The correct answers are 3 and 5

Step-by-step explanation: Twelve less three times a number is at least nine.

Twelve minus the product of three and a number is no smaller than nine.

plz mark me!! thx!

Vika [28.1K]3 years ago
4 0

The answers would be options one and five

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Yes! If the raffle tickets are $2 and Amari supposedly purchased 8, that would make the total money for raffle tickets $16. Then if you take the 4 snacks for $1.50 each that would be $6.
16+6=22
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Only answer if you’re sure :) thank you
adelina 88 [10]
Your answer is 1/2
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3 0
3 years ago
Read 2 more answers
Slope-10 pass through (2,-5)
ahrayia [7]
Slope = -10
<span>pass through (2,-5)
y = mx + b
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b = y - mx
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7 0
4 years ago
2,894 times 3 show your work
Svetradugi [14.3K]
8682 would be your answer.
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3 years ago
How to integrate with steps:<br><br> (4x2-6)/(x+5)(x-2)(3x-1)
joja [24]

\displaystyle\int\frac{4x^2-6}{(x+5)(x-2)(3x-1)}\,\mathrm dx

You have a rational expression whose numerator's degree is smaller than the denominator's. This tells you you should consider a partial fraction decomposition. We want to rewrite the integrand in the form

\dfrac{4x^2-6}{(x+5)(x-2)(3x-1)}=\dfrac a{x+5}+\dfrac b{x-2}+\dfrac c{3x-1}

\implies4x^2-6=a(x-2)(3x-1)+b(x+5)(3x-1)+c(x+5)(x-2)

You can use the "cover-up" method here to easily solve for a,b,c. It involves fixing a value of x to make 2 of the 3 terms on the right side disappear and leaving a simple algebraic equation to solve for the remaining one.

  • If x=-5, then 94=112a\implies a=\dfrac{47}{56}
  • If x=2, then 10=35b\implies b=\dfrac27
  • If x=\dfrac13, then -\dfrac{50}9=-\dfrac{80}9c\implies c=\dfrac58

So the integral we want to compute is the same as

\displaystyle\frac{47}{56}\int\frac{\mathrm dx}{x+5}+\frac{10}{35}\int\frac{\mathrm dx}{x-2}+\frac58\int\frac{\mathrm dx}{3x-1}

and each integral here is trivial. We end up with

\displaystyle\int\frac{4x^2-6}{(x+5)(x-2)(3x-1)}\,\mathrm dx=\frac{47}{56}\ln|x+5|+\frac27\ln|x-2|+\frac5{24}\ln|3x-1|+C

which can be condensed as

\ln\left|(x+5)^{47/56}(x-2)^{2/7}(3x-1)^{5/24}\right|+C

7 0
3 years ago
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