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Alisiya [41]
3 years ago
12

Which of the following is not a solution for the inequality 3x +2 < 12?

Mathematics
1 answer:
Advocard [28]3 years ago
8 0

3x+2 < 12\ \ \ \ |-2\\\\3x < 10\ \ \ \ |:3\\\\x < \dfrac{10}{3}\\\\x < 3\dfrac{1}{3}\\\\x=2 < 3\dfrac{1}{3}\\\\x=2.5 < 3\dfrac{1}{3}\\\\x=3 < 3\dfrac{1}{3}\\\\x=3.5-Answer

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At the zoo on monday, 65 percent of the people in attendance were children. if 520 children were in attendance, how many people
inna [77]
Children = .65 * people
people = 520 / .65
800 people were in attendance

7 0
3 years ago
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K(a)= 4a-4, Find k(-9)
FromTheMoon [43]

We simply replace a with -9

k(-9) = 4 * -9 - 4

k(-9) = -40

:)

5 0
3 years ago
Find an asymptote of this conic section. 9x^2-36x-4y^2+24y-36=0
ki77a [65]
We will begin by grouping the x terms together and the y terms together so we can complete the square and see what we're looking at. (9x^2-36x)-(4y^2+24y)-36=0.  Now we need to move that 36 over by adding to isolate the x and y terms.  (9x^2-36x)-(4y^2+24y)=36.  Now we need to complete the square on the x terms and the y terms.  Can't do that, though, til the leading coefficients on the squared terms are 1's.  Right now they are 9 and 4.  Factor them out: 9(x^2-4x)-4(y^2-6y)=36.  Now let's complete the square on the x's. Our linear term is 4.  Half of 4 is 2, and 2 squared is 4, so add it into the parenthesis.  BUT don't forget about the 9 hanging around out front there that refuses to be forgotten.  It is a multiplier.  So we are really adding in is 9*4 which is 36.  Half the linear term on the y's is 3.  3 squared is 9, but again, what we are really adding in is -4*9 which is -36.  Putting that altogether looks like this thus far: 9(x^2-4x+4)-4(y^2-6y+9)=36+36-36.  The right side simplifies of course to just 36.  Since we have a minus sign between those x and y terms, this is a hyperbola.  The hyperbola has to be set to equal 1.  So we divide by 36.  At the same time we will form the perfect square binomials we created for this very purpose on the left: \frac{(x-2)^2}{4}- \frac{(y-3)^2}{9}=1.  Since the 9 is the bigger of the 2 values there, and it is under the y terms, our hyperbola has a horizontal transverse axis.  a^2=4 so a=2; b^2=9 so b=3.  Our asymptotes have the formula for the slope of m=+/- \frac{b}{a} which for us is a slope of negative and positive 3/2.  Using the slope and the fact that we now know the center of the hyperbola to be (2, 3), we can solve for b and rewrite the equations of the asymptotes.  3= \frac{3}{2}(2)+b give us a b of 0 so that equation is y = 3/2x.  For the negative slope, we have 3=- \frac{3}{2}(2)+b which gives us a b value of 6.  That equation then is y = -3/2x + 6.  And there you go!
8 0
3 years ago
According to the rule of 72, in about how many years will $80 be worth $40 if
ludmilkaskok [199]

Answer:

24 Years

Step-by-step explanation:

Rule of 72 is an approximation that you can use to estimate the time it will take for something to double in value at a compound rate of interest

use the following equation

72/(i*100)

we have

72/(.03*100)

72/3=24

3 0
3 years ago
Given the following two statements, what conclusion can be made? Three noncollinear points determine a plane. Points S, O, N are
laila [671]
Actually, this has little to do with mathematics and geometry but has to do more with logical reasoning. You have two clauses to get a conclusion from. The reasoning is as follows:

Clause 1: <span>Three noncollinear points determine a plane
Clause 2: </span><span>Points S, O, N are noncollinear
</span>Conclusion: Therefore, points S, O and N form a plane.
7 0
3 years ago
Read 2 more answers
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