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3 years ago

15

In which family of functions can students calculate an average rate of change? *

1 answer:

kenny6666 [7]3 years ago

4 0

non-linear functions

Average Rate of Change is used primarily with non-linear functions, since all linear functions have a constant rate of change.

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20 POINTS. Given cos θ=4/5, find cot(θ).

nydimaria [60]

$\displaystyle\\\cos\theta=\frac{4}{5}\\\\ \sin\theta=\sqrt{1-\cos^2\theta}=\sqrt{1-\left(\frac{4}{5}\right)^2} =\sqrt{1-\frac{16}{25}} =\sqrt{\frac{9}{25}} =\frac{3}{5}~~\text{(If } \theta \in \text{quadrant 1)}}\\\\\\ \cot(\theta)=\frac{\cos\theta}{\sin\theta}=\frac{~~\dfrac{4}{5}~~}{\dfrac{3}{5}}=\frac{4}{5}\times\frac{5}{3}=\frac{4}{3}\\\\\\\boxed{\cot(\theta)=\frac{4}{3}}$

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3 years ago

One endpoint of a line segment has coordinates represented by (x + 4, 1/2y). The midpoint of the line segment is (3, -2). How ar

Marina CMI [18]

Answer:

a. (2 - x, -4 - 1/2y)

Step-by-step explanation:

$\text{Let the coordinates of other endpoint be (a,b)}\\\implies \frac{a+x+4}{2}=3 \:\text{and}\\\frac{b+\frac{y}{2}}{2}=-2\\$

Simplify to get the answer.

4 0

3 years ago

Read 2 more answers

What is 2(6+5•2)=5(4-2•5)

Tanzania [10]

32=-30
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6 0

3 years ago

Read 2 more answers

If a(x)=3x+1and b(x)= square root of x-4, what is the domain of (b•a)(x)

german

Answer:

the correct answer is C

Step-by-step explanation:

3 0

3 years ago

Pls I need it asap it's due in 5 minutes. with steps pls

Reptile [31]

Answer:

Solution → (2, -1)

Step-by-step explanation:

Input-output values table for equation (1),

2x + y = 3

x -1 0 1 2

y 5 3 1 -1

Input-output values table for equation (2),

y = x - 3

x -1 0 1 2

y -4 -3 -2 -1

Now plot these points to get the graphs of both the equations.

Common point (2, -1) of both the lines will be the solution of the system of equations.

5 0

3 years ago