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3 years ago

2 points

Mathematics

1 answer:

Elenna [48]3 years ago

7 0

132=89 is the ratio. 132 boys, 89 girls.

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The graph shows the functior f(x) = 2X<br> What is the value of x when f(x) = 8?

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Answer: b

Step-by-step explanation:

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3 years ago

Which diagram has all of the correct lines of reflectional symmetry for the regular pentagon? A pentagon has 3 lines of reflecti

Trava [24]

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Step-by-step explanation:

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3 years ago

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18 POINTS! At the AoPS office, mice vary inversely with cats, that is, mice=k/cats, for some value of k. When there are 3r-19 ca

Blizzard [7]

Answer:

k=30

Step-by-step explanation:

The number of mice vary inversely with cats. This is written as:

$Mice \propto \dfrac{1}{Cat} \\Mice = \dfrac{k}{Cat}$

When there are 3r-19 cats, there are 2r+1 mice

$2r+1 = \dfrac{k}{3r-19}\\$Cross multiply$\\k=(3r-19)(2r+1)$

When there are 6r-27 mice, there are r-5 cats.

$6r-27 = \dfrac{k}{r-5}\\$Cross multiply$\\k=(6r-27)(r-5)$

Taking the values of k above, we have:

$k=(3r-19)(2r+1) =(6r-27)(r-5)\\(3r-19)(2r+1) =(6r-27)(r-5)\\6r^2+3r-38r-19=6r^2-30r-27r+135\\$Collect like terms\\6r^2-6r^2+3r+30r-38r+27r-19-135=0\\22r-154=0\\22r=154\\$Divide both sides by 22\\r=7$

Therefore:

$k=(3r-19)(2r+1) \\=(3*7-19)(2*7+1)\\=(21-19)(14+1)\\=2*15\\k=30$

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3 years ago

Determine whether the function is even odd or neither f(x)=4×+4

RideAnS [48]

Answer:

This function is odd

Step-by-step explanation:

In order to find if a function is even or odd, you have to start by plugging -x in for x. If the function is exactly the same, then it is even. If it is opposite, then it is odd. This will produce an opposite function thus making it odd.

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3 years ago

Consider the equation below. X2 + y2 − 2x − 4y − z + 5 = 0 reduce the equation to one of the standard forms. Classify the surfac

jeka57 [31]

we are given

$x^2+y^2-2x-4y-z+5=0$