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3 years ago

What is the inverse of h?

Mathematics

1 answer:

Paha777 [63]3 years ago

4 0

H(x) = 6x + 1

turn h(x) into y

y = 6x + 1

switch the x and the y

x = 6y + 1

solve for y

6y = x - 1
y = 1/6x - 1/6
y = 1/6(x - 1)

now stick the inverse notation in for y....h -1(x)

h-1(x) = 1/6(x - 1).....I think I did that right

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2 years ago

Maria has added 2 liters of pure alcohol to 8 liters of a 48% alcohol solution. What is the alcohol concentration of the resulti

ss7ja [257]

Answer:

The alcohol concentration of the resulting solution is 58.4%

Step-by-step explanation:

- At first we must to find the quantity of pure alcohol in the 8 liters

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3 years ago

Read 2 more answers

What is 7643.63 rounded to the nearest dollar?

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Answer:

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Step-by-step explanation:

Hope this helps!

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MatroZZZ [7]

Answer:

The formula for the area of the triangle is:

$\displaystyle A=24x^2$

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When x = 2.4, the area is 138.24 square centimeters.

And when x = 5, the hypotenuse of the triangle is 50 centimeters.

Step-by-step explanation:

We are given a right triangle with a height of 8x and a base of 6x.

The area of a triangle is given by the formula:

$\displaystyle A=\frac{1}{2}bh$

So, by substitution:

$\displaystyle A=\frac{1}{2}(8x)(6x)=24x^2$

When x = 3, the area will be:

$\displaystyle A(3)=24(3)^2=216\text{ cm}^2$

And when x = 2.4, the area will be:

$A(2.4)=24(2.4)^2=138.24\text{ cm}^2$

When x = 5, the height will be 8(5) = 40 cm and the base will be 6(5) = 30 cm.

By the Pythagorean Theorem:

$a^2+b^2=c^2$

So:

$(40)^2+(30)^2=c^2$

The hypotenuse will be:

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