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2 years ago

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The function f(x) is represented by this table of values. x f(x) -5 35 -4 24 -3 15 -2 8 -1 3 0 0 1 -1 Match the average rates of

change of f(x) to the corresponding intervals. -3 -8 -7 -4 [-5, -1] arrowRight [-4, -1] arrowRight [-3, 1] arrowRight [-2, 1] arrowRight

1 answer:

7nadin3 [17]2 years ago

3 0

If f:R→R is defined by

f(x)=⎧⎩⎨⎪⎪x+4 for x<−43x+2 for −4≤x<4x−4 for x≥4

You might be interested in

How do I find slope of (-15,-15), (12,2)

earnstyle [38]

y1-y2=m(x1-x2)

(-15,-15) (12,2)

y=17/27x-50/9

5 0

2 years ago

Can You Guys Please Help???

Bezzdna [24]

Answer:

Step-by-step explanation:

The answer is c.

Proportional means a relationship of y = a constant multiplied by x

In this case, the constant is 7.

i.e. y = 7x

So if

x is 3, y is 21

x is 5, y is 35

x is 7, y is 49

and so on...

And there you have it.

8 0

3 years ago

Choose the solution(s) of the following system of equations x2 + y2 = 6 x2 – y = 6

ElenaW [278]

<h2>Answer</h2>

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

Or as ordered pairs: $(\sqrt{6} ,0),(-\sqrt{6} ,0),(\sqrt{5} ,-1),(-\sqrt{5} ,-1)$

<h2>Explanation</h2>

Lets solve our system of equations step by step

$x^2+y^2=6$ equation (1)

$x^2-y=6$ equation (2)

1. Solve for $x^2$ in equation (2)

$x^2-y=6$

$x^2=6+y$ equation (3)

2. Replace equation (3) in equation (1) and solve for $y$

$x^2+y^2=6$

$6+y+y^2=6$

$y^2+y=0$

$y(y+1)=0$

$y=0$ or $y=-1$

3. Replace the values of $y$ in equation (3) and solve for $x$

- For $y=0$

$x^2=6+y$

$x^2=6$

$x=\sqrt{6}$ or $x=-\sqrt{6}$

- For $y=-1$

$x^2=6+y$

$x^2=6-1$

$x^2=5$

$x=\sqrt{5}$ or $x=-\sqrt{5}$

So, the solutions of our system of equation are:

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

6 0

2 years ago

Read 2 more answers

The slope of the line that contains the points (2, -7) and (-2, 5) is -3. What is the y-intercept?

kramer

Answer:

C. -1

Step-by-step explanation:

Find the y intercept by plugging in the slope and a given point into the equation y = mx + b. Then, solve for b:

y = mx + b

-7 = -3(2) + b

-7 = -6 + b

-1 = b

So, the y intercept is -1.

The correct answer is C. -1

4 0

2 years ago

Multiply and subtract

WITCHER [35]

Answer:

26x³ - 12x² + 5x + 7

Step-by-step explanation:

(2x³ - 3x + 11) - (3x² + 1) x (4 - 8x)
2x³ - 3x+11 - (12x² - 24x³ + 4 - 8x)
2x³ - 3x + 11 - 12x² + 24x³ - 4 + 8x
26x³ + 5x + 7 - 12x²

= 26x³ - 12x² + 5x + 7

4 0

2 years ago