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REY [17]
1 year ago
15

If x varies directly as y, and X = 24 when y= 21, Find x when Y=6

Mathematics
1 answer:
Ne4ueva [31]1 year ago
7 0

Answer:

x = 48/7

Step-by-step explanation:

There's two good ways to do this problem.

Option 1:

Translate "x varies directly as y" into the equation y=kx

Then you have to find k. After you "reset" your y=kx equation, fill in k and then solve for x. See image.

Option 2:

Translate "varies directly" into a proportion, which is two fractions equal to each other:

x/y = x/y

Fill in the three numbers given and cross multiply and solve to find the fourth number. See image.

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<span>Nadine mixes a juice solution that is made from 3 gallons of an 80% juice solution and 1 gallon of a 20% juice solution. What is the percent concentration of the final solution?    =</span>65%
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The plane that contains points C and T can also be named plane...
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Answer:

  A)  CUB

Step-by-step explanation:

Of the suggested planes, only CUB contains both points C and T.

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<em>Comments on the other answer choices</em>

BED contains point T, but not C

ACE contains point C, but not T

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6 0
3 years ago
What is the domain of f/g, given f(x)=x+2 and g(x)=x-7?
kodGreya [7K]

Answer:

(-∞,7) U (7,∞)

Step-by-step explanation:

f(x)= x+2

g(x) = x-7

\frac{f(x)}{g(x)} =\frac{x+2}{x-7}

Here we have x-7 in the denominator

To find domain we set the denominator =0  and solve for x

x-7=0

Add 7 on both sides

x=7

x=7 makes the denominator 0 that is undefined

So we ignore 7 for x

Hence domain is

(-∞,7) U (7,∞)

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2 years ago
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A line passes through (−1, 7) and (2, 10).
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\displaystyle{m = \frac{y_2-y_1}{x_2-x_1}&#10;



Thus, the slope of the line passing through points </span><span>(−1, 7) and (2, 10) is 

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<span>

The equation of a line with slope m passing through a point P(a, b) is given by
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We can consider any of the points (-1, 7), or (2, 10). Let's choose (2, 10):

                                        y-10=1(x-2)
                                        y-10=x-2
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