Determine whether the rate of change is constant. Choose the correct answer below.

Rule for even

[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=f(x),x\in D_f}[/tex]

Rule for odd

[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=-f(x),D_f}[/tex]

#1

[tex]\\ \sf\longmapsto f(x)=\sqrt{x^2}-9[/tex]

[tex]\\ \sf\longmapsto f(4)=\sqrt{4^2}-9=4-9=-5[/tex]

[tex]\\ \sf\longmapsto f(-4)=\sqrt{(-4)^2}=4-9=-5[/tex]

#2

[tex]\\ \sf\longmapsto g(x)=|x-3|[/tex]

[tex]\\ \sf\longmapsto g(2)=|2-3|=|-1|=1[/tex]

[tex]\\ \sf\longmapsto g(-2)=|-2-3|=|-5|=5[/tex]

[tex]\\ \sf\longmapsto -g(2)=-1[/tex]

#3

[tex]\\ \sf\longmapsto f(x)=\dfrac{x}{x^2-1}[/tex]

[tex]\\ \sf\longmapsto f(3)=\dfrac{3}{3^2-1}=\dfrac{3}{9-1}=\dfrac{3}{8}[/tex]

[tex]\\ \sf\longmapsto f(-3)=\dfrac{-3}{(-3)^2-1}=\dfrac{-3}{8}[/tex]

[tex]\\ \sf\longmapsto -f(3)=\dfrac{-3}{8}[/tex]

#4

[tex]\\ \sf\longmapsto g(x)=x+x^2[/tex]

[tex]\\ \sf\longmapsto g(1)=1+(1)^2=2[/tex]

[tex]\\ \sf\longmapsto g(-1)=-1+(-1)^2=0[/tex]

[tex]\\ \sf\longmapsto -g(1)=-2[/tex]

Answer: 342.5 miles

Step-by-step explanation:

Distance = Speed x Time

Speed(mph) Time(hr)   Distance(miles)

     55        x        3.5        =     192.5

     60         x       2.4        =     150

Total Distance (miles) =        342.5 miles

Step-by-step explanation:

Tahap risiko unit amanah?

Step-by-step explanation:

[tex]\\ \rm\leadsto ((a^{-2})^{-1})^{-1}/(a\div a^{-1})^2[/tex]

[tex]\\ \rm\leadsto (a^2)^{-1}/(a^2)^2[/tex]

[tex]\\ \rm\leadsto (a^2)^{-1-2}[/tex]

[tex]\\ \rm\leadsto (a^2)^{-3}[/tex]

[tex]\\ \rm\leadsto a^{-6}[/tex]

Answer:

x = 1/5

Step-by-step explanation:

yeah-ya........ right?

Answer:

Letter A because both of them are SSS

Step-by-step explanation:

Answer:

AC is parallel to BD

Step-by-step explanation:

A parallelogram is a quadrilateral with two pairs of parallel sides.

Answer:

y = -3/2x + 10

Step-by-step explanation:

The slope = -3/2

Using the slope = -3/2 and the point (10, -5) substitute into y = mx + b and solve for "b"

y = mx + b

-5 = -3/2(10) + b         -3/2 · 10 = -30/2 = -15

-5 = -15 + b

-5 + 15 = b

 10 = b

The equation of the line is y = -3/2x + 10

Answer:

|-5[tex]\frac{3}{7}[/tex]|

|5[tex]\frac{1}{7}[/tex]|

|-4[tex]\frac{6}{7}[/tex]|

|-4[tex]\frac{3}{7}[/tex]|

|4[tex]\frac{2}{7}[/tex]|

Step-by-step explanation:

absolute value is how far the the number is away from zero, it does not matter if it is negative or positive

Step-by-step explanation:

Given:

Probabilities:

As we see from the probabilities, there is almost twice difference between Florida and Michigan residents.

Answer:

∠ ABC = 108°

Step-by-step explanation:

The 2 given angles are vertically opposite and are congruent , that is

4x + 8 = 3x + 33 ( subtract 3x from both sides )

x + 8 = 33 ( subtract 8 from both sides )

x = 25

Then

∠ ABC = 3x + 33 = 3(25) + 33 = 75 + 33 = 108°

Answer:

Answer:

o=6

1=18

2=54

3=162

Step-by-step explanation:

[tex]f(x) = 6(3)^{x} [/tex]

[tex]f(x)=6(3)^{0}=6 \\ f(x)=6(3)^{1}= 18 \\ f(x)=6(3)^{2}=54 \\ f(x)= 6(3)^{3}=162[/tex]

Answer:

were is the qn?

Step-by-step explanation:

Answer:

2(n-8) = 5

Step-by-step explanation:

I'm assuming that its supposed to say "a number and 8"

Answer:

x=10.5

Step-by-step explanation:

x will be a number

2(x-8)=5 --> I'm assuming your question is " twice the difference of a number and 8 equals 5.

Solving

2(x-8)=5

2x-16=5 --> distrubute the 2--> 2*x = 2x and 2*-8 = 16

2x=16+5--> add 16 to other side of x

2x=21--> add like terms

2x / 2 =21 / 2--> single out x

x=10.5 --> 21/2 --> just divide

Answer:

Pentagon - 5 sides = 5 x 4 = 20

Hexagon - 6 sides = 6 x 5 = 30

Nanagon - 9 sides = 9

20 + 30 + 9 = 59 IN TOTAL

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The zeroes of a function, or the x-intercepts, are just where the line intersects the x-axis. For this function, you can see the line intersects the x-axis at these 3 points:

x = -4

x = 0

x = 5

Those 3 are the zeroes of this function. 2 is not one of them, so that is your answer.

Answer:

Smallest: 12.8 square meters

Largest: 13.5 square meters

Step-by-step explanation:

I'm not 100% sure I understand this correctly as it seems like a very strange problem, but here it goes.

The smallest number that rounds to 3.2 is 3.15, and the smallest number that rounds to 4.1 is 4.05.

[tex]3.15*4.05=12.7575[/tex]

The smallest possible area is 12.8 rounded to the nearest 10th.

The largest number that rounds to 3.2 is 3.24999... and the largest that rounds to 4.1 is 4.14999...

[tex]3.24999*4.14999=13.4875[/tex]

That rounds to 13.5.

this is my attachment answer hope it's helpful to you

Step-by-step explanation:

x=54/1

y=56/4

because 50y=2820

Answer:

I think A

Step-by-step explanation:

Unlike tennis or badminton, only the serving team can win a point.

Answer:

I believe its c but I barely know how to play that

Answer: $31.55

Step-by-step explanation:

$25.75 + 37.80 - 32.00 = $31.55

Answer:

Step-by-step explanation:

Since all points are on same line, AB and BC have same slope.

Use slope formula and compare:

Compare and solve for p:

Answer:

90,000

Step-by-step explanation:

Answer:

take value of x as 0 so

9y=-18 y =-18/9

y=-2

(0,-2)

same take y equal 0

Simplified answer:

-6 - 2q

Step-by-step explanation:

-6 + 4q + (-6q)

=> -6 + 4q - 6q

=> -6 + (-2q)

=> -6 - 2q

I think this is the expression. Try to simplify your options and see if one of them equal to -6 - 2q. Hoped this helped.

The required graph shows equation y = 10 + 4.50x which represents the total cost of sandwiches and delivery based on the number of sandwiches ordered.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Let x represent the number of sandwiches and y represent the total cost.

Here is a graph of this equation:

y = 10 + 4.50x

This graph shows that the total cost of sandwiches and delivery is a straight line that increases by $4.50 for each additional sandwich ordered. The $10 delivery fee is the y-intercept of the line, which is the point where the line crosses the y-axis (when x = 0).

The slope of the line is 4.50, which indicates the change in the total cost for each unit change in the number of sandwiches.

Learn more about the graphs here:

brainly.com/question/16608196

#SPJ2

Answer:

First truck = x

Second truck = y

x + 35 = y

x = 2/3y

So

2/3y +35=y

1/3y = 35

y = 35*3

y = 105

And ,

x = 2/3y = 70

The first truck carry 70 tons while the second carry 105 tons

If the first truck carries 35 tons less rice than the second truck, then;

x = y - 35

If the number of paddy in the first truck is 2/3 of the amount in the second truck

x = 2/3 y

Equate both to have:

2/3 y = y - 35

2/3y - y = -35

-y/3 = -35

y = 105

Since x = 2/3 y

x = 2/3 * 105

x = 70

Hence the first truck carry 70 tons while the second carry 105 tons

Laern more on equations here: https://brainly.com/question/16863577