Explain how to find the slope of a line that passes through (-2, -4) and (7, -3)

Personally i think that if you use the pi symbol it would be more accurate because on a calculator there is an pi symbol √ which is the same it will give you an answer closer to an whole number.

Answer:

g(x), f(x) and h(x)

Step-by-step explanation:

Given

Interval: (0,3)

See attachment for functions f(x), g(x) and h(x)

Required

Order from fastest to slowest decreasing average rate of change

The average rate of change is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

In this case:

[tex](a,b) = (0,3)[/tex]

i.e.

[tex]a = 0\\b=3[/tex]

For f(x)

[tex]f(x) = 16(\frac{1}{2})^x[/tex]

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]Rate = \frac{f(3) - f(0)}{3 - 0}[/tex]

[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]

Calculate f(3) and f(0)

[tex]f(x) = 16(\frac{1}{2})^x[/tex]

[tex]f(3) = 16(\frac{1}{2})^3 = 16 * \frac{1}{8} = 2[/tex]

[tex]f(0) = 16(\frac{1}{2})^0 = 16 * 1 = 16[/tex]

So:

[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]

[tex]Rate = \frac{2 - 16}{3}[/tex]

[tex]Rate = -\frac{14}{3}[/tex]

For g(x)

[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]

[tex]Rate = \frac{g(3) - g(0)}{3 - 0}[/tex]

[tex]Rate = \frac{g(3) - g(0)}{3}[/tex]

From the table of g(x)

[tex]g(3) = 1[/tex]

[tex]g(1) = 27[/tex]

So:

[tex]Rate = \frac{1 - 27}{3}[/tex]

[tex]Rate = -\frac{26}{3}[/tex]

For h(x)

[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]

[tex]Rate = \frac{h(3) - h(0)}{3 - 0}[/tex]

[tex]Rate = \frac{h(3) - h(0)}{3}[/tex]

From the graph of h(x)

[tex]h(3) = -3[/tex]

[tex]h(0) = 4[/tex]

So:

[tex]Rate = \frac{-3 - 4}{3}[/tex]

[tex]Rate = -\frac{7}{3}[/tex]

So, the calculated rates of change are:

[tex]f(x) = -\frac{14}{3}[/tex] [tex]= -4.67[/tex]

[tex]g(x) = -\frac{26}{3}[/tex] [tex]=-8.67[/tex]

[tex]h(x) = -\frac{7}{3}[/tex] [tex]=-2.33[/tex]

By comparison:

From the fastest decreasing to slowest, the order is: g(x), f(x) and h(x)

Answer: IN THIS ORDER!!   g(x), f(x), h(x).

Answer:

What do you need help with?

Step-by-step explanation:

What do you need help with-?

Answer:

C

Step-by-step explanation:

Answer:

1+1= 11

1Step-by-step explanation:

I might be wrong so if i am right pls give me a thanks

Answer:

(2) is a right angled triangle.

Step-by-step explanation:

8²+6²=64+36=100=10²≠12²

48²+14²=2304+196=2500=50²

Answer:

Hello! To find the answer you have to use the formula C=2 square x pie x the area. So the answer would be C= 90.17

Step-by-step explanation:

Answer:

-9a - 36

Step-by-step explanation:

Step-by-step explanation:

I m not sure but I think this is the answer

Answer:

where  is the link for the image or the picture of it because I can not see it.

Step-by-step explanation:

Answer:

40% of 70 = red flower hence red flower are 28

Answer:

So there are 28 red flowers are growing

Step-by-step explanation:

=40/100 ×70

= 28

Plz mark me as Brainest answer

Answer: 65 = x + 2

x = 63 inches

Step-by-step explanation:

Answer: 67

Step-by-step explanation: a p e x

Answer:

Step-by-step explanation:

Part b:  Find the length of the sidewalk.  The walk is the hypotenuse of a right 30-60-90 triangle with horizontal side 2√3.  Using the 30° angle as the reference angle, we get the following from the definition of the cosine function:

cos 30° = adj / hyp, or:

  √3       2√3

 ------- = --------

     2        hyp

This simplifies to

     1          2

 -------- = -------

      2        hyp

Cross multiplying results in:  hyp = 4.  The sidewalk length is 4 miles.

a.  The width of the park can be found using the sine function, the now-known hypotenuse and the 30° angle:

                               1       opposite side

sin 30 degrees = ----- = -------------------------   or 2(opp side) = 4.

                               2                 4

Then the opp side, which is the width of the park, is 2.

Answer:

39...........

Step-by-step explanation:

plz mark me as brainest answer

Answer:

39

Step-by-step explanation:

the sequence increases by seven every time so 32+7 =39

Answer:

Read the excerpt from "Pilgrim at Tinker Creek."

The sharks disappeared as each wave rolled toward me; then a new wave would swell above the horizon, containing in it, like scorpions in amber, sharks that roiled and heaved.

Which answer best describes how the word roiled affects this excerpt?

It shows that the sharks are swimming in unison.

It demonstrates that the sharks are wiggling playfully in the water.

It illustrates that the sharks are swaying gently.

Step-by-step explanation:

i took the test it is not c

Answer:

20+20+24+24=88

88/2=44

88+44=132

Step-by-step explanation:

If you split it so there is a rectangle and a triangle, you find the perimeter of the rectangle then divide it in half.

Answer:

$1.35 will be your answer

Step-by-step explanation:

18 x 0.075 = 1.35

Answer:

[tex]1.35[/tex]

Step-by-step explanation:

7.5% of 18$ is 1.35.

It would make no sense if the tax cost more than the actual item.

Answer:

16%

Step-by-step explanation:

Answer:

16% you just have to guess till you get it right

85*0.16=13.60

Step-by-step explanation:

Answer:

874

Step-by-step explanation:

702 is correct

quick mathz

Answer:

The domain is (-∞,∞)

Step-by-step explanation:

Since there's no limit to this function, the values are infinity.

Answer:

x = 30, z = 45, y = 105

Step-by-step explanation:

The lines are straight, so:

x = 30

z = 45

y = 180 - (45 + 30)

So there

Answer:97 °

Step-by-step explanation:

83° & b° are a supplementary angle, meaning that they equal 180°. So:

83 + b = 180

b = 97°

Answer:

B) 25

Step-by-step explanation:

√25=±5

Answer: 39 weeks

Step-by-step explanation:

Given

The average temperature is [tex]85^{\circ}F[/tex] or higher

A year has 52 weeks

It is given 25% of the time-temperature is above [tex]85^{\circ}F[/tex]

So, in the remaining 75% of the weeks, the average temperature is less than [tex]85^{\circ}F[/tex]

No of weeks can be determined by

[tex]\Rightarrow 75\%\ \text{of}\ 52\\\\\Rightarrow \dfrac{75}{100}\times 52=39\ \text{weeks}[/tex]

Answer:

c

Step-by-step explanation:

because a function has no repeating x values. and 5 repeats

Answer:

Are you in Mr. Burg...'s class?  I have no clue what the answer is though.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

To find the area of a triangle we use this equation:

[tex]\frac{1}{2} bh\\[/tex]

b= base

h= height

So since we are given the information that the sides are 6 and the height is 5 we simply can plug the information right into the equation:

[tex]\frac{(6)(5)}{2}[/tex]= 15

So the are is 15 inches sqaured, hope this helps :)