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ICE Princess25 [194]
3 years ago
13

Write an expression to represent: The sum of ten and the quotient of a number x and 6

Mathematics
1 answer:
Alex787 [66]3 years ago
8 0

Answer:

10 + x/6

Step-by-step explanation:

With problems like these, you always want to break them down into phrases.

The sum of ten and the quotient of a number x and 6.

"The sum of ten" ... If you want to translate this into mathematical symbols, how would you do it? Well, if it's a sum, we know we're adding. So it's 10 plus something. So far we have:

10 +

Next: "the quotient of a number x and 6." ... How do you put this one into mathematical terms/symbols? A quotient means division. If you want the quotient of a number and six, it would be x/6. So now we have:

10 + x/6

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consider the following.find formula simplify answer .Find the domain for the formula and round answer to two decimal places if n
Elanso [62]

The sum of functions is given as:

(f+g)(x)=f(x)+g(x)

In this case we have:

(f+g)(x)=5x+\sqrt[]{x-1}

The domain of the functions is any number that makes the squared root a real number, then:

\begin{gathered} x-1\ge0 \\ x\ge1 \end{gathered}

Hence the domain of the functions is:

\lbrack1,\infty)

5 0
1 year ago
Only smart bros know the answer
Cloud [144]

Answer:

3.3

Step-by-step explanation:

4 x 3 = 12

40 ÷ 12 = 3.3 hope this help . if im wrong oh well

5 0
2 years ago
What association does the scatter plot show? <br> Answer asap
LUCKY_DIMON [66]
The numbers go up in a linear fashion (by 1)

So, positive linear association
8 0
2 years ago
The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.
Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: (x-3)^{2}  + (y+2)^{2}  = 25

Now, comparing it with the general equation of circle: (x-h)^{2}  + (y -k)^{2}  = r^2

we get the central coordinates (h,k)  = (3,-2)

So, the slope of the line joining center and (8, -2) = \frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = \frac{-1}{0}

Now, by point slope formula: the equation of the tangent is

(y-y0)  = m (x-x0)

or, (y +2) = \frac{-1}{0} (x -8)

or x =8 is the equation of the tangent.

8 0
3 years ago
3 letters without replacement 4 letters A B C D how many ways can this be done if the order of the choices matters
Veseljchak [2.6K]

Answer:

Since the order of choice matters, we will permute the values.                       a bit more explanation for this:

If the order of choice did NOT matter, ABC and BCA will be counted as one since order of choice does NOT matter

Since order of choice does matter, ABC , BCA and CAB are all different possibilities for the arrangement of the same 3 letters

Since we have 3 slots:

___  ___ ___

Now, for the first slot. You can out either one if the 4 alphabets in the first slot since no slot has been used as of now

So:

_<u>4</u>_ ___ ___

**Keep in mind that the 4 is the possible number of values this slot can have**

Now that one slot has been used, one of the 4 alphabets has been used and since we are not allowed to repeat the same alphabets, we are left with  3 more alphabets

we can put any one of the 3 alphabets in this second slot, Hence:

_<u>4</u>_ <u>_3_</u> ___

Now that 2 of the 4 alphabets have been used, we are left with only 2 alphabets, so there are only 2 possible alphabets for slot 3

Therefore:

_<u>4</u>_ _<u>3</u>_ _<u>2</u>_

Now that we know the possible alphabets for all 3 slots, we will multiply them with each other to get the total possible number of 3 - alphabet words we can make with 4 alphabets

Total possible words = 4 * 3 * 2

Total possible words = 24

We could've used the formula for Permutation as well

8 0
3 years ago
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