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3 years ago

If 9 : x = x:4, then x = _____. 36 18 24 6

Mathematics

1 answer:

borishaifa [10]3 years ago

8 0

Solution: 9:x = x:4

⇛9/x = x/4

By doing cross multiplication, we get

⇛9(4) = x(x)

⇛36 = x²

⇛x² = 36

⇛x = √(36)

⇛x = √(6*6)

∴ x = 6 Ans.

also read similar questions: Which equations have the same value of x as 2/3(6x+12)=-24? Check all that apply.1. 4x+8=24 2. 9x+18=-24 3. 4x+12=-24 4. 18x+36/2=-24 5. 4x=-36 6. 4x=-32 7. x=-... brainly.com/question/6702722?referrer

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3 years ago

Find the equation of the vertical line passing through the point (5, 5)

Mrac [35]

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Answer:

x = 5

Step-by-step explanation:

The equation of a vertical line is of the form ...

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In order to make that line go through a point that has an x-coordinate of 5, the value of the constant must be 5.

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3 years ago

2qt= ?ml round to nearest hundredths

bezimeni [28]

Answer:

1982.71 mL

Step-by-step explanation:

1 qt = 946.353 mL

2 qt = 1982.71 mL

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3 years ago

Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show th

Anna [14]

Step-by-step explanation:

We need to show whether

$f^{-1}(x) = g(x)$

$g^{-1}(x) = f(x)$

so we'll do either one of them,

we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).

$f(x) = e^x - 1$

we can also write it as:

$y = e^x - 1$

now all we have to do is to make x the subject of the equation.

$y+1 = e^x$

$\ln{(y+1)} = x$

$x=\ln{(y+1)}$

now we'll interchange the variables

$y=\ln{(x+1)}$

this is the inverse of f(x)

$f^{-1}(x)=\ln{(x+1)}$

and it does equal to g(x)

$g(x)=\ln{(x+1)}$

Hence, both functions are inverse of each other!

This can be shown graphically too:

we can see that both functions are reflections of each other about the line y=x.

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4 years ago

An amusement park offers two options. Option 1 involves a $10 admission fee plus $0.50 per ride. Option 2 involves a $6 admissio

Art [367]

Answer:

16 rides

Step-by-step explanation:

Option 1 . Admission fee = $10

Each ride = $0.50

Option 2 . Admission fee = $6

Each ride = $0.75

Let no. of rides be x

So, cost of ride according to option 1 = 0.50x

So, total cost after having x rides according to option 1 :

= 10+0.50x ---1

Cost of ride according to option 2 = 0.75x

So, total cost after having x rides according to option 2 :

= 6+0.75x --2

Now to find the beak even point i.e. having the same cost

Equate 1 and 2

$10+0.50x=6+ 0.75x$

$10-6= 0.75x-0.50x$

$4= 0.25x$

$\frac{4}{0.25} =x$

$16=x$

Thus for 16 rides , the two options have the same cost .

Hence the break even point is 16 rides

5 0

4 years ago