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3 years ago

I need a step by step I got lost in learning

Mathematics

1 answer:

alexandr402 [8]3 years ago

8 0

Answer:

6 to the power of 2.

Step-by-step explanation:

Recall that whenever you divide exponents with the same base, you subtract the powers, but the base will still be the same. Therefore, 6 to the power of 12 divided by 6 to the power of 10 is 6 to the power of 2. Subtract the powers (exponents) or 12 minus 10, and you get 2. Since the base doesn't change, it is still 6. The solution to this expression is 6 to the power of 2. Hope this helps!

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2y/5-y/4=-3 what is the common denominator

babymother [125]

Answer:

Step-by-step explanation:

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2 years ago

Playland Park charges $25 admission plus $2 per ride. Funland Park charges $35 admission plus $1 per ride. For what number of ri

Ket [755]

Answer:

10 rides

Step-by-step explanation:

Make an equation.

25 + 2x = 35 + 1x

Subract 1x from the 2x to get 1.

New Equation: 25 + 1x = 35

Subtract 25 from 35 to get 10.

New Equation: 1x = 10

Divide 1 from both sides.

Answer: 10 rides

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3 years ago

Which statement describes the inverse of m(x) = x^2 – 17x?

DochEvi [55]

Given:

The function is

$m(x)=x^2-17x$

To find:

The inverse of the given function.

Solution:

We have,

$m(x)=x^2-17x$

Substitute m(x)=y.

$y=x^2-17x$

Interchange x and y.

$x=y^2-17y$

Add square of half of coefficient of y , i.e., $\left(\dfrac{-17}{2}\right)^2$ on both sides,

$x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

Taking square root on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}$

Add $\dfrac{17}{2}$ on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y$

Substitute $y=m^{-1}(x)$ .

$m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$

We know that, negative term inside the root is not real number. So,

$x+\left(\dfrac{17}{2}\right)^2\geq 0$

$x\geq -\left(\dfrac{17}{2}\right)^2$

Therefore, the restricted domain is $x\geq -\left(\dfrac{17}{2}\right)^2$ and the inverse function is $m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$ .

Hence, option D is correct.

Note: In all the options square of $\dfrac{17}{2}$ is missing in restricted domain.

7 0

3 years ago

What is 4/3 ft x 15 inches <br> I need the anwser in inches

qaws [65]

Answer:

3/45

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find the inverse function of f(x)=4x-8

kipiarov [429]

Answer:

f^-1(x)=1/4x+2

Step-by-step explanation:

y=4x-8

change x and y

x=4y=8

switch sides

4y-8=x

add 8

4y=x+8

divide both sides by 4

y=1/4x+2

substitute f^-1(x) for y

f^-1(x)=1/4x+2

8 0

3 years ago