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2 years ago

What is the inverse of y=|x|?

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

6 0

Answer:

The inverse of a function can be viewed as the reflection of the original function over the line y = x. In simple words, the inverse function is obtained by swapping the (x, y) of the original function to (y, x)

Step-by-step explanation:

Hope that helps!

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If I am traveling 80 kilometers per hour how long will it take me to travel 20 kilometers per hour

ddd [48]

You are comparing velocities. Without a given acceleration, the time can not be found.

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2 years ago

What number must be added to the expression below to complete the<br> square?<br> x² - 18x

kiruha [24]

Answer:

$\boxed {\boxed {\sf 81}}$

Step-by-step explanation:

The standard form of a quadratic is:

$ax^2+bx+c$

To complete the square, the a (leading coefficient) must be 1 and there can only be terms with variables on one side.

The expression given:

$x^2-18x$

follows these rules. Next, we divide the b (linear coefficient) by 2, then square it. Basically:

$(\frac{b}{2})^2$

The b in the expression is -18.

$(\frac{-18}{2})^2$

$(-9)^2= -9*-9= 81$

This is the number that is added.

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2 years ago

Element X decays radioactively with a half-life of eight minutes. If there are 800 g of element X, how long, to the nearest 10th

Harman [31]

Answer: 41.5 min

Step-by-step explanation:

This problem can be solved with the Radioactive Half Life Formula:

$A=A_{o}.2^{\frac{-t}{h}}$ (1)

Where:

$A=22 g$ is the final amount of the radioactive element

$A_{o}=800 g$ is the initial amount of the radioactive element

$t$ is the time elapsed

$h=8 min$ is the half life of the radioactive element

So, we need to substitute the given values and find $t$ from (1):

$22 g=(800 g) 2^{\frac{-t}{8 min}}$ (2)

$\frac{22 g}{800 g}=2^{\frac{-t}{8 min}}$ (3)

$\frac{11}{400}=2^{\frac{-t}{8 min}}$ (4)

Applying natural logarithm in both sides:

$ln(\frac{11}{400})=ln(2^{\frac{-t}{8 min}})$ (5)

$-3.593=-\frac{t}{8 min}ln(2)$ (6)

Clearing $t$ :

$t=41.46 min \approx 41.5 min$ This is the time elapsed

7 0

2 years ago

Timothy makes reduced copies of a photograph that has an actual length of 8 in. Each time he presses the reduce button on the co

Aleksandr-060686 [28]

Answer:

length of the photograph will be 4.2 in. after pressing the button 5 times.

Step-by-step explanation:

By pressing the button, every time size of the photograph gets reduced by 12%.

Therefore, the sequence formed by the reduced sizes of the photo will be a geometric sequence and the formula for the size of the reduced image will be,

L = $l(1-\frac{12}{100})^{n}$

Where l = Actual length of the photograph

L = length of the reduced image

n = Number of times the button has been pressed

For l = 8 in. and n = 5

L = $8(1-0.12)^{5}$

= $8(0.88)^{5}$

= 4.22 in

L ≈ 4.2 in.

Therefore, length of the photograph will be 4.2 in. after pressing the button 5 times.

3 0

2 years ago

Select the statement that best describes each multiplication problem

Naily [24]

Answer:

1. Perfect Square

2. Perfect Square

3. Conjugate

4. Conjugate

5. Perfect Square

-I am about 98% sure about these answers.

-An example for a perfect square is (5x+3)(5x+3) and an example for a conjugate is (5x+3)(5x-3). The only difference between the two is the symbol for the second pair of parenthesis.

7 0

2 years ago