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algol13
3 years ago
9

What is the solution to the system of equations graph below?

Mathematics
2 answers:
kirza4 [7]3 years ago
7 0

Answer:

Correct option is:

B. (-2,3)

Step-by-step explanation:

The solution of the system of the equations graphed is that point on which the two graphs meet.

Here, the system of equations:

y=4x+11

y= -2x-1

are graphed and as we can clearly see from the graph the two graphs meet at a point (-2,3)

So, solution is (-2,3)

Hence, Correct option is:

B. (-2,3)

mestny [16]3 years ago
6 0

Answer: B. (-2, 3)


Step-by-step explanation: The two lines have the same solution where both lines intersect. So, if you look at the point on the graph where the two lines intersect, and count the tick marks on the number lines, the point is clearly located at (-2, 3).

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The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
statuscvo [17]

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

brainly.com/question/19599469

7 0
2 years ago
Find the area. 9 cm 3 cm 12 cm 15_cm 3 cm​
slava [35]

Answer:

What shape is the object in question?

3 0
2 years ago
Antonio measures items in his pocket. He knows there
inna [77]

Answer:

8 centimeters

Step-by-step explanation:

10 millimeters = 1 centimeter

80÷x=y 10=x

80÷10=8 8=y

7 0
3 years ago
Noah is running a portion of a marathon at a constant speed of 6 mph. Complete the table to predict how long it would take him t
ycow [4]

Answer:

\begin{array}{cc}\text{Time}&\text{Distance}\\ \\1&6\\ \\\dfrac{1}{2}&3\\ \\1\dfrac{1}{3}&8\\ \\1\dfrac{1}{2}&9\\ \\9&54\\ \\4\dfrac{1}{2}&27\end{array}

Step-by-step explanation:

Noah's running speed = 6 mph.

Use formula D=v\cdot t, where

D is the distance,

v is the speed,

t is the time.

If t=1 hour, then D=6\cdot 1=6 miles.

If t=\dfrac{1}{2} hour, then D=6\cdot \dfrac{1}{2}=3 miles.

If t=1\dfrac{1}{3} hours, then D=6\cdot 1\dfrac{1}{3}=6\cdot \dfrac{4}{3}=8 miles.

If t=1\dfrac{1}{2} hours, then D=6\cdot 1\dfrac{1}{2}=6\cdot \dfrac{3}{2}=9 miles.

If t=9 hours, then D=6\cdot 9=54 miles.

If t=4\dfrac{1}{2} hours, then D=6\cdot 4\dfrac{1}{2}=6\cdot \dfrac{9}{2}=27 miles.

So, the table is

\begin{array}{cc}\text{Time}&\text{Distance}\\ \\1&6\\ \\\dfrac{1}{2}&3\\ \\1\dfrac{1}{3}&8\\ \\1\dfrac{1}{2}&9\\ \\9&54\\ \\4\dfrac{1}{2}&27\end{array}

3 0
3 years ago
Read 2 more answers
One number is 9 times the other. Find the two numbers if their sum less 10 equals 50
astra-53 [7]
 the numbers would be 36 and 4
3 0
4 years ago
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