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andrew-mc [135]
3 years ago
10

Workers on the assembly line produce 4x + 6 boats each day. Which expression shows how many boats they produced in 12 days?

Mathematics
2 answers:
Annette [7]3 years ago
7 0
We're going to assume that x = # of days.
Plug 12 in as x:
4 × 12 = 48
48 + 6 = 54
They produced 54 boats in 12 days.
ad-work [718]3 years ago
7 0
You're answer is going to be A) 12( 4x+6 ) hope this helps :)
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Which of the following describes the end behavior over the domain of the square root function graphed above? Please HELP!!!!!!!!
PilotLPTM [1.2K]
Short Answer A
Comment

It's a good thing that the domain is confined or the graph is. That function is undefined if x < - 3 

At exactly x = - 3, f(x) = 0 and that's your starting point.

So look what happens to this graph. If x = 0, f(0) =  y = 3. So we are starting to see that as x get's larger so does f(x). The graph tells us that x = 0 is bigger than x = - 3.

Let's keep on plugging things in.
As x increases to 5, f(5) = 5. x = 5 is larger than x = 0, and f(5) > 3.

One more and then we'll start drawing conclusions. If x = 9 then f(9) = y =  6. 
x = 9 is larger than x = 5. f(9) = 6 is just larger than f(5) which is 5

OK I think we should be ready to look at answers. There's nothing there that makes the answer anything but a. Let's find out what the problem is with the rest of the choices.

B
The problem with B is that as x increases, f(x) does not decrease. We didn't find one example of that. So B is wrong.

C
C has exactly the same problem as B. 

D
The second statement in D is incorrect. As x increases f(x) never decreases. No example showed that.

The answer is A <<<< Answer.
8 0
3 years ago
A tetrahedron is a triangular pyramid with 4 equilateral faces. Han has a box of tetrahedrons with each of the 4 vertices marked
Daniel [21]

Theoretically, the number of the vertex comes at the top must be equal for infinitely many numbers of trials, but it's a tedious job to roll the dice for a large number of times. Rolling the tetrahedron only 10 times will not predict the correct result.

Han suspects that this tetrahedron is weighted in some way to make 1 appear more often than the other numbers.

So, check his suspect experimentally with the help of the concept of center of mass. A fair tetrahedron must have the center of mass at the center of the body.

The given tetrahedron has 4 equilateral triangular faces, so at first, measure all the sides of triangular faces and make sure that all are having the same length.

Then, conduct an experiment to check the location of the center of mass.

Hang the tetrahedron by attaching a thin string at the vertex 1 as shown in the figure and observe the base surface ( triangle 234) whether it is parallel to the ground or not.

Now, repeat the same by hanging it with vertices 2, 3, and 4 and observe the base surface.

For the center of mass to be located at the center of the tetrahedron, the base must be parallel to the ground (flat ground).i.e the hanging string must be perpendicular to the base for all the four cases.

If this is so, then the tetrahedron is a fair tetrahedron otherwise not.

8 0
3 years ago
sam can fill 7 glasses with soda every 29.1 seconds. How long would it take Sam to fill 14 glasses and 21 glasses with soda
alekssr [168]
It would take him 58.2 seconds to fill 14 glasses and it would take him 87.3 seconds to fill 21 glasses
7 0
3 years ago
Which equation is equivalent to the formula below?
ehidna [41]

Answer:

B-is correct

Step-by-step explanation:

y=a(x-h)^2+k

-k               -k

y-k=a(x-h)^2

:(x-h)^2    :(x-h)^2

(y-k)/(x-h)^2 =a

3 0
3 years ago
What is the answer?
Bad White [126]

Answer:

k=3

Step-by-step explanation:

+ we note f(p)= p^{4}+p^{2}  +p -k

+ Because of "p-1 is a factor of f(p)", that means f(p)= (p-1)* g(p)

Then we have f(1)= (1-1)*g(1)= 0* g(1)= 0

+ We replace p=1 in f(p) and we have:

f(1)=0

that means: 1^{4}+1^{2} + 1 - k=0

then 1+1+1-k = 0, 3-k=0 or k=3

Hope that useful for you.

8 0
3 years ago
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