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Vedmedyk [2.9K]
3 years ago
11

-11=61-6q what is q solve the equation

Mathematics
1 answer:
aleksley [76]3 years ago
8 0

Answer:

q=12

Step-by-step explanation:

-11=61-6q

-11-61 =-6q

-72=-6q

q=72/6

q=12

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50 students in 4 buses
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The answer is 54 because you add them
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2 years ago
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A dog jumps straight up. Y=-16t^2+20t models the motion of the dog, where "t" is the time in seconds and "y" is the height of th
alina1380 [7]

Answer:

Step-by-step explanation:

The motion of the dolphin is quadratic

i.e y=-16t²+20t

To get the maximum height the dolphin will reach

We need to find the point of inflexion. i.e dy/dt=0

dy/dt=-32t+20

Then set dy/dt=0

0=-32t+20

Then, -32t=-20

t=0.625

Let find d²y/dt²

d²y/dt²=-32. Since this is negative then the point t=0.625 is the maximum point the dolphin can reach

Then substitute t=0.625 into y

y=-16t²+20t

y=-16(0.625)²+20(0.625)

y=6.25ft

Then the maximum height the dolphin can reach is 6.25ft

Using discriminant

Formular method

y=-16t²+20t

So the dog height y<7

y=-16t²+20t <7

-16t²+20t-7<0

a=-16, b= 20. c=-7

t=(-b±√b²-4ac)/2a

Using the a, b and c direct for the discriminant

D=b²-4ac

D=20²-4×-16×-7

D=-48

Which is a complex number

Then the dolphin can reach the height

Then we need to model the D to be greater than 0

Therefore,

D>0

b²-4ac>0

We cannot do anything to a and b it is already given

a=-16, b=20

(20)²-4(-16c)>0

400+64c>0

64c>-400

Then

c>-6.25

Divide both side by - and the inequality sign will change

Therefore -c<6.25

So the dog height y<6.25

y=-16t²+20t <6.25

Therefore the maximum height is 6.25.

If it is greater than that then, we are going to have a complex root movement which is not possible for the dolphin .

5 0
3 years ago
Barbara earns $16.50 per hour for the first 8 hours she works What
Bingel [31]
In the morning she worked 3 hours and 45 minutes. In the afternoon she worked 5 hours and 15 minutes. That is a total of 9 hours. At $16.50 per hour for 8 hours that comes to $132. Plus the 1 hour over time with breaks down to $18.50 plus $8.25 totaling $24.75. Add that to the $132 and she made a total of $156.75 for Wednesday’s work. I hope this helps with your question.
8 0
2 years ago
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El taller de baile tiene tres veces la cantidad de inscritos que el taller de arte el taller de arte tiene 98 escritos menos que
Eduardwww [97]

Answer:

The number of registrants in art workshop is 49.

Step-by-step explanation:

The dance workshop has three times the number of registrants than the art workshop the art workshop has 98 less writings than the dance workshop how many registrations the art workshop has

Let the registrants in the art workshop is p.

The registrants in the dance work shop is 3 p.

According to question,

p = 3p - 98

2 p = 98

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So, the number of registrants in art workshop is 49.  

8 0
2 years ago
Simplify the picture below
podryga [215]
((x^2-3x-18)/(x+3))
((x-6)(x+3))/(x+3)
The x+3 on top cancels out the x+3 on the bottom so all you have left is

x-6


Hope I didn't mess up for your sake!
3 0
3 years ago
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