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3 years ago

Show your work please

Mathematics

2 answers:

Sauron [17]3 years ago

7 0

fg(x) = 3(x^2 + 3x) - 4

= 3x^2 + 9x - 4

Nataly_w [17]3 years ago

6 0

Answer:

3x^2 +9x -4

Step-by-step explanation:

f(x) = 3x-4

g(x) = x^2 +3x

f(g(x))

Substitute g(x) in for x in the function f(x)

f(g(x) = 3 (g(x)) -4

= 3( x^2 +3x) -4

= 3x^2 +9x -4

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Mr.Spoke is a salesman at Pop's Cycle shop. Each month he earns 800$ plus 7% of his total monthly sales. How much did he earn la

Aliun [14]

7% of $9,200 is $644. Add $800 + $644 to get $1,444
ANSWER:
$1,444

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4 years ago

It takes Cindy 3/4 of an hour to complete a puzzle. how many puzzles can Cindy finish in 3 hours ? answer this for 27 points

kipiarov [429]

The 3 hour Cindy will finish 4 different puzzles

hope this helps

6 0

3 years ago

Read 2 more answers

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:

_4_ ___ ___

**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:

_4_ _3_ ___

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:

_4_ _3_ _2_

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

Find an equation of the plane through the point (1, -5, 3) and perpendicular to the vector (2, -3, -3).

AnnyKZ [126]

2x - 3y - 3z = 8
We've been given the normal vector to the plane <2, -3, -3> and a point within the plane (1, -5, 3). In general if you've been given both the normal vector <a,b,c> and a point (e,f,g) within the plane, the expression for the plane will be: ax + by + cz = d
and you can compute d by:
d = ae + bf + cg
So let's calculate d:
d = ae + bf + cg
d = 2*1 + -3*-5 + -3*3
d = 2 + 15 + -9
d = 8
And the equation for the plane is 2x - 3y - 3z = 8

6 0

3 years ago

Which would be the best name for a function that takes the time of day and returns the numbers of coffee sold at a coffee shop?

konstantin123 [22]

Answer:

Coffee(time)

Step-by-step explanation:

A function's output variable will be:

output(input)

So we need to find the input variable and the output variable.

We know that when the time of day changes, we get a certain amount of coffee sold. This means that the amount of coffee sold is directly influenced by the time of day.

The time of day then becomes our input as the coffee sold relies on that number.

That leaves coffee sold as our output!

So the best name for a function in this scenario is Coffee(time).

Hope this helped!

3 0

4 years ago