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3 years ago

The graph shows a system consisting of a linear equation and a quadratic equation. What is the solution to the system?

Mathematics

2 answers:

Nonamiya [84]3 years ago

5 0

The solution is where the 2 lines cross each other so it is:

(4,3) and (2,11)
Answer is B

sweet-ann [11.9K]3 years ago

4 0

Answer:

The correct option is:

B) (2,11) and (4,3)

Step-by-step explanation:

We are given a graph of a system consisting of a linear equation and a quadratic equation.

We have to find the solution to the system.

Since, the solution of two system is the point on the graph on which the two functions meet.

As we can see the two functions meet at two points which are:

(4,3) and (2,11)

Hence, the correct option is:

B) (2,11) and (4,3)

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Read 2 more answers

The mass, m grams, of a radioactive substance, present at time t days after first being observed, is given by the formula m=24e^

Reika [66]

Answer:

(i) The value of m when t = 30 is 13.2

(ii) The value of t when the mass is half of its value at t=0 is 34.7

(iii) The rate of the mass when t=50 is -0.18

Step-by-step explanation:

(i) The m value when t = 30 is:

$m = 24e^{-0.02t} = 24e^{-0.02*30} = 13.2$

Then, the value of m when t = 30 is 13.2

(ii) The value of the mass when t=0 is:

$m_{0} = 24e^{-0.02t} = 24e^{-0.02*0} = 24$

Now, the value of t is:

$ln(\frac{m_{0}/2}{24}) = -0.02t$

$t = -\frac{ln(\frac{24}{2*24})}{0.02} = 34.7$

Hence, the value of t when the mass is half of its value at t=0 is 34.7

(iii) Finally, the rate at which the mass is decreasing when t=50 is:

$\frac{dm}{dt} = \frac{d}{dt}(24e^{-0.02t}) = 24(e^{-0.02t})*(-0.02) = -0.48* (e^{-0.02*50}) = -0.18$

Therefore, the rate of the mass when t=50 is -0.18.

I hope it helps you!

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3 years ago

If spot eats 156 pounds of food each year and he eats the same amount each month, how much does he eat in 1 month?

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156/12= 13 pounds

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3 years ago

HELP PLZZ Branlist of right answer

satela [25.4K]

Answer:

1/3

Step-by-step explanation:

There are 2 odd number and 1 even number.

Even chances: 1

Total chances: 3

Probability = 1/3

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3 years ago