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abruzzese [7]
3 years ago
8

What are the solutions to the equation? 3x2+6x=45

Mathematics
1 answer:
daser333 [38]3 years ago
4 0

Answer:

x = 3, -5

Step-by-step explanation:

hope this helps plz give brainiest

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A team of scientists is traveling by boat to study a pod, or group, of dolphins. The equation y = 0.2x can be used to find the d
Alenkinab [10]

Answer:

42 minutes.

Step-by-step explanation:

We know that:

y = 0.2*x

is the equation that that defines the distance, in miles, that the boat travels in x minutes.

We know that the dolphins are at 8.4 miles from the boat.

Then when we have y = 8.4, this will mean that the boat reached the dolphins.

Then we need to solve the equation:

y = 8.4 = 0.2*x

for x

To do that, we just need to isolate x in one side of the equation, so we can just divide both sides by 0.2 to get:

8.4/0.2 = (0.2*x)/0.2

42 = x

And x is time in minutes, thus, the boat needs to travel for 42 minutes to reach the dolphins.

6 0
3 years ago
Mike, Luke, and Alex each own a white hat marked with the first letter of their name. Winter owns a plain red hat, which is not
Karo-lina-s [1.5K]

Answer:switch mikes Luke’s and Alex in between each other and let winter keep her own

Step-by-step explanation:

7 0
2 years ago
What is the volume of this?
Oksanka [162]

Answer:

82 in^3

Step-by-step explanation:

3 x 2 x 7      + 2 x 2 x 10    =  82 in^3

7 0
2 years ago
A certain substance doubles its volume every minute at 9 AM a small amount is placed in a container ,at 10 AM the container was
Y_Kistochka [10]

Answer:

the container is 1/4 full at 9:58 AM

Step-by-step explanation:

since the volume doubles every minute , the formula for calculating the volume V at any time t is

V(t)=V₀*2^-t , where t is in minutes back from 10 AM and V₀= container volume

thus for t=1 min (9:59 AM) the volume is V₁=V₀/2 (half of the initial one) , for t=2 (9:58 AM) is V₂=V₁/2=V₀/4  ...

therefore when the container is 1/4 full the volume is V=V₀/4 , thus replacing in the equation we obtain

V=V₀*2^-t

V₀/4 = V₀*2^-t

1/4 = 2^-t

appling logarithms

ln (1/4) = -t* ln 2

t = - ln (1/4)/ln 2 = ln 4 /ln 2 = 2*ln 2 / ln 2 = 2

thus t=2 min before 10 AM → 9:58 AM

therefore the container is 1/4 full at 9:58 AM

8 0
3 years ago
12x + 3(x - 4) + 2x *<br> Your answer
AleksandrR [38]

Step-by-step explanation:

12x + 3(x - 4) + 2x

17x-12

HOPE IT HELPS U

8 0
3 years ago
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