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Firlakuza [10]
3 years ago
7

Which function described below has the greatest rate of change? I WILL MARK BRAINLIEST​

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0

Answer:

C III

Step-by-step explanation:

The rate of change of a linear function is the slope.

f(x) = mx + b is the equation of a linear function whose graph is a straight line. m is the slope.

I f(x) = 4x - 3;   m = slope = 4

II f(x) = 1/2 x + 5;   m = slope = 1/2

III We can use two points to find the slope.

Let's use points (1, 6) and (2, 12).

m = slope = (y2 - y1)/(x2  x1) = (12 - 6)/(2 - 1) = 6/1 = 6

The three slopes are 4, 1/2, 6.

The greatest rate of change is 6, so the answer is C III.

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Anybody good in geometry and know how to do this? Free Brainliest and points !! I need at least 3 ppl to answer this !
yan [13]

Answer:

IM TERRIBLE IN GEOMETRY

Step-by-step explanation:

8 0
3 years ago
Express sin A,cos A and tan A as ratios
OverLord2011 [107]

Answer:

Part A) sin(A)=\frac{2\sqrt{42}}{23}

Part B) cos(A)=\frac{19}{23}

Part C) tan(A)=\frac{2\sqrt{42}}{19}

Step-by-step explanation:

Part A) we know that

In the right triangle ABC of the figure the sine of angle A is equal to divide the opposite side angle A by the hypotenuse

so

sin(A)=\frac{BC}{AB}

substitute the values

sin(A)=\frac{2\sqrt{42}}{23}

Part B) we know that

In the right triangle ABC of the figure the cosine of angle A is equal to divide the adjacent side angle A by the hypotenuse

so

cos(A)=\frac{AC}{AB}

substitute the values

cos(A)=\frac{19}{23}

Part C) we know that

In the right triangle ABC of the figure the tangent of angle A is equal to divide the opposite side angle A by the adjacent side angle A

so

tan(A)=\frac{BC}{AC}

substitute the values

tan(A)=\frac{2\sqrt{42}}{19}

8 0
3 years ago
Find the circumfrance and the area of a circle with a 5 ft radius. Use the value 3.14
Crazy boy [7]

Answer:

Circumference is 2piR =31.4

Area is pir^2=78.5

Step-by-step explanation:

6 0
2 years ago
In quadratic drag problem, the deceleration is proportional to the square of velocity
Mars2501 [29]
Part A

Given that a= \frac{dv}{dt} =-kv^2

Then, 

\int dv= -kv^2\int dt \\  \\ \Rightarrow v(t)=-kv^2t+c

For v(0)=v_0, then

v(0)=-kv^2(0)+c=v_0 \\  \\ \Rightarrow c=v_0

Thus, v(t)=-kv(t)^2t+v_0

For v(t)= \frac{1}{2} v_0, we have

\frac{1}{2} v_0=-k\left( \frac{1}{2} v_0\right)^2t+v_0 \\  \\ \Rightarrow \frac{1}{4} kv_0^2t=v_0- \frac{1}{2} v_0= \frac{1}{2} v_0 \\  \\ \Rightarrow kv_0t=2 \\  \\ \Rightarrow t= \frac{2}{kv_0}


Part B

Recall that from part A, 

v(t)= \frac{dx}{dt} =-kv^2t+v_0 \\  \\ \Rightarrow dx=-kv^2tdt+v_0dt \\  \\ \Rightarrow\int dx=-kv^2\int tdt+v_0\int dt+a \\  \\ \Rightarrow x=- \frac{1}{2} kv^2t^2+v_0t+a

Now, at initial position, t = 0 and v=v_0, thus we have

x=a

and when the velocity drops to half its value, v= \frac{1}{2} v_0 and t= \frac{2}{kv_0}

Thus,

x=- \frac{1}{2} k\left( \frac{1}{2} v_0\right)^2\left( \frac{2}{kv_0} \right)^2+v_0\left( \frac{2}{kv_0} \right)+a \\  \\ =- \frac{1}{2k} + \frac{2}{k} +a

Thus, the distance the particle moved from its initial position to when its velocity drops to half its initial value is given by

- \frac{1}{2k} + \frac{2}{k} +a-a \\  \\ = \frac{2}{k} - \frac{1}{2k} = \frac{3}{2k}
7 0
3 years ago
The population of a town 4 years ago was 50,000
tino4ka555 [31]

Answer:

population will be 79806.

Step-by-step explanation:

Population of a town 4 years ago  was 50,000

Population of town had grown exponentially and present population is 63,124.

So the formula of the population growth will be

A_{n}=A_{o}(r)^{n-1}

Where A_{n} = Final population n = number of years.

           A_{o} = Initial population

           r = rate of increase in population per year.

so  63124 = 50,000 (r)^{4-1}

r^{3}=\frac{63124}{50000}= 1.26428

r=(1.26428)^{\frac{1}{3} }

= 1.0813

Now we have to find the population after 4 years from now.

A_{n} =  63124(1.08)^{4-1}

       =  63124(1.08)^{3}

       = 63124 × 1.264

       = 79806

Therefore, after 4 years from now population will be 79806.

8 0
3 years ago
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