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quester [9]
3 years ago
11

Can someone help me, please?solve for

1" title="\sqrt{-9k}=\sqrt{16-k}" alt="\sqrt{-9k}=\sqrt{16-k}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
ahrayia [7]3 years ago
5 0

Answer:

k = -2.

Step-by-step explanation:

Squaring  both sides -9k = 16 - k

Add k to both sides:

-8k = 16

Divide both sides by -8:

 k = -2.

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Sergio [31]

Given:

The function is:

f(x)=6x-3

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

f(x)=6x-3

Step 1: Substitute f(x)=y.

y=6x-3

Step 2: Interchange x and y.

x=6y-3

Step 3: Isolate variable y.

x+3=6y

\dfrac{x+3}{6}=y

Step 4: Substitute y=g(x).

\dfrac{x+3}{6}=g(x)

Therefore, the inverse of the given function is g(x)=\dfrac{x+3}{6} and the graphs of these functions are shown below.

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2 years ago
Need help with this please
Studentka2010 [4]

Answer:

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Step-by-step explanation:

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3 years ago
9,15,15,6,10,19,14,16 What is the Mean , Median , Mode and Range ?
lesya692 [45]

Answer:

The mean is 104 (Just add them all up)

The median is either 6 or 10 (its the number in the middle, sometimes there are two medians)

The mode is 15 (It shows up more than once)

The range is 13 (Take the smallest number and the highest number and subtract)

7 0
3 years ago
Read 2 more answers
The produce manager at a market orders 10 lb of​ tomatoes, 20 lb of​ zucchini, and 40 lb of onions from a local farmer one week.
rewona [7]

Answer:

(A) A=\left[\begin{array}{ccc}10&20&40\end{array}\right]

(B) B=\left[\begin{array}{ccc}11&22&44\end{array}\right]

(C) A+B=\left[\begin{array}{ccc}21&42&84\end{array}\right]

Step-by-step explanation:

The manager ordered 10 lb of​ tomatoes, 20 lb of​ zucchini, and 40 lb of onions from a local farmer one week.

(A)

Matrix <em>A</em> represents the amount of each item ordered. ​It is 1 × 3 matrix.

Then matrix <em>A</em> is:

A=\left[\begin{array}{ccc}10&20&40\end{array}\right]

(B)

Next week the manager increases the order of all the products by 10%.

Then the amount of new orders are:

Tomatoes =10\times [1+\frac{10}{100}]=10\times1.10=11

Zucchini =20\times [1+\frac{10}{100}]=20\times1.10=22

Onions =40\times [1+\frac{10}{100}]=40\times1.10=44

Th matrix <em>B</em> represents the amount of each order for the next week. Then matrix <em>B</em> is:

B=\left[\begin{array}{ccc}11&22&44\end{array}\right]

(C)

Add the two matrix <em>A</em> and <em>B</em> as follows:

A+B=\left[\begin{array}{ccc}10&20&40\end{array}\right]+\left[\begin{array}{ccc}11&22&44\end{array}\right]\\=\left[\begin{array}{ccc}(10+11)&(20+22)&(40+44)\end{array}\right]\\=\left[\begin{array}{ccc}21&42&84\end{array}\right]

The entries of the matrix (<em>A</em> + <em>B</em>) represent the amount of tomatoes, zucchini and onions ordered for two weeks.

5 0
3 years ago
The difference of 5 and twice a number is 37
I am Lyosha [343]

Answer:

5 - 2n = 37

Step-by-step explanation:

7 0
3 years ago
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