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Stels [109]
3 years ago
15

Find domain of y=rad20-6x

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0
Domain, on an "even root" context, means, an even root cannot have a negative radicand, since  say for example \bf \sqrt{-25}\ne -5\qquad why?\implies (-5)(-5)=25

so... you end up with an "imaginary value"

so... for the case of 20-6x
"x", the domain, or INPUT
can afford to have any value, so long it doesn't make the radicand negative

to check for that, let us make the expression to 0, and see what is "x" then

\bf 20-6x=0\implies 20=6x\implies \cfrac{20}{6}=x\implies \cfrac{10}{3}=x

now, if "x" is 10/3, let's see \bf \sqrt{20-6\left( \frac{10}{3} \right)}\implies \sqrt{20-20}\implies \sqrt{0}\implies 0

now, 0 is not negative, so the radicand is golden

BUT, if "x" has a value higher than 10/3, the radicand turns negative
for example  \bf x=\frac{11}{3}
\\\\\\

\sqrt{20-6\left( \frac{11}{3} \right)}\implies \sqrt{20-22}\implies \sqrt{-2}

so.. that's not a good value for "x"

thus, the domain, or values "x" can safely take on, are all real numbers from 10/3 onwards, or to infinity if you wish
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Shalnov [3]

Answer:

Left

50 feet

Right

16 inches

10 inches

Step-by-step explanation:

Here, we want to make a conversion and fill in the empty spaces

The scale is 1 foot is 1/8 inch

To convert from foot to inch, we multiply by 1/8

To convert from inch to foot, we multiply by 8

Thus, we have ;

Let’s fill in the left spaces first;

6.25 * 8 = 50 feet

Right spaces, top to bottom;

128 * 1/8 = 16 inches

80 * 1/8 = 10 inches

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3 years ago
Faiza, Krish and Joe start cycling around the park from the same point at the same time. Faiza circles the park in 60 seconds, K
pishuonlain [190]

Answer:

The time at which they will all meet at a place together is 350 minutes

Step-by-step explanation:

The time it takes Faiza to cycle the park = 60 seconds

The time it takes Krish to cycle the park = 14 seconds

The time it takes Joe to cycle the park = 25 seconds

Therefore, the time they will all meet at a place together is given by their Lowest Common Multiple as follows;

LCM = 60 × 14 × 25 = 21,000 seconds

Therefore, the time at which they will all meet at a place together in minutes = 21000 seconds/(60)×minute/second = 350 minutes

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2 years ago
Find the slope of the line that passes through (4,9) and (1,7)
denis-greek [22]

Answer:

2/3

Step-by-step explanation:

Use the formula for finding gradient.

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3 years ago
How do i find angle measurements in an isosceles triangle??
Sholpan [36]
In an isosceles triangles the sides that are congruent form two congruent angles...you should be given one of those angle measures or the other one...if you are given one of the angle measure formed by the congruent side you know the one opposite it is the same and you know all the measures of angles in a triangle = 180 so you should be able to find them all
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2 years ago
What percentage of students earning degrees in 2009 were awarded a professional degree?
shusha [124]

Answer:

2.07%

Step-by-step explanation:

92 out of a total of 3,204 graduates earned a professional degree.  That works out to 0.0207, or 2.07%.

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3 years ago
Read 2 more answers
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