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3 years ago

(50 POINTS) Math Inverse Functions please help

Mathematics

2 answers:

liq [111]3 years ago

8 0

Answer:

inverse of ordered pair (1,3),(7,4),(8,6)and (9,y)

is (3,1),(4,7),(6,8)and(y,9)

restriction is

y≠3,4&8

Afina-wow [57]3 years ago

4 0

Answer:

See below.

Step-by-step explanation:

An inverse function has the x and y coordinates switched. For example, if a function has point (1, 3), then the inverse function has point (3, 1).

Let's find the ordered pairs of the inverse function. We take all the ordered pairs of the original function:

(1, 3), (7, 4), (8, 6), (9, y)

Now we switch x and y in each ordered pair to come up with the inverse function.

The inverse function has these ordered pairs:

(3, 1), (4, 7), (6, 8), (y, 9)

For a relation to be a function, a value used as an x-coordinate can appear only once.

The last ordered pair is (y, 9). For the inverse relation to be a function, y cannot be 3, 4, or 6.

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Bezzdna [24]

<h3>Answer: B) -4</h3>

=========================================================

Explanation:

Point Q is located at (0,w). We see that x = 0 and y = w.

So we'll replace x with 0 and y with w. Then we solve for w.

2x+3y = -12

2(0)+3(w) = -12

0+3w = -12

3w = -12

3w/3 = -12/3

w = -4

In the second to last step, I divided both sides by 3 to undo the multiplication of 3. Saying 3w means "3 times w".

Side note: The point Q is the y intercept as this is the location where the diagonal line 2x+3y=-12 crosses the vertical y axis.

3 0

3 years ago

In the workplace rascial discrimination is a very serious issue. consider a company in which 20% of the employees are African-Am

Ipatiy [6.2K]

Answer:

a) How many African-Americans would you expect to get promotions?

Since we have been asked to follow the binomial distribution, (B (40,0.2)

To calculate the mean of the BPD = n*p

where n is the number of promotions and p = probability

= 40 x 0.2 = 8

You expect 8 promotions.

The probability that 5 African-Americans = P (X = 5)

P( X = 5 ) = 40 sqr root ( 5 * 0.2^5 * 0.8^35 ) = 0.0854

c) What is the probability that five or fewer African-Americans receive promotions?

P( X <= 5) = P(X=5) + P(X=4) + ... + P(X=1) + P(X=0)

faster way is calculator

binomcdf(40, .2, 5) = 0.1613

Step-by-step explanation:

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3 years ago

Find a 2 × 2 matrix b ≠ o and b ≠ i2 such that ab = ba, where a = 1 7 0 1 . b =

riadik2000 [5.3K]

If $\mathbf A$ is invertible, then we can simply choose $\mathbf B=\mathbf A^{-1}$ because for any invertible matrix $\mathbf X$ by definition we must have $\mathbf{XX}^{-1}=\mathbf X^{-1}\mathbf X=\mathbf I$ .

We have $\det\mathbf A\neq0$ , as

$\det\mathbf A=\begin{vmatrix}1&7\\0&1\end{vmatrix}=1\times1-0\times7=1$

which means $\mathbf A$ is non-singular and has an inverse. The inverse itself would be

$\mathbf A^{-1}=\dfrac1{\det\mathbf A}\begin{bmatrix}1&0\\-7&1\end{bmatrix}^\top=\begin{bmatrix}1&-7\\0&1\end{bmatrix}$

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Rainbow [258]

Answer:

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Step-by-step explanation:

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