Calculate the average rate of change of a function over a specified interval. Which expression can be used to determine the average rate of change in f(x) over the interval 2, 9?

Answer:

divide 3 by the amount of feet to get to the yards

Step-by-step explanation:

For every three feet, there's always one yard

so to do this only given feet, we'll need to divide the amount of feet by 3 to represent the amount of yards

Step-by-step explanation:

Answer:

(-4,2)

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

he uses 66 in one day

Answer:

B

-1536

Step-by-step explanation:

Just replace n with 9

-6(2)^(9-1)

-6(2)^8

-6(256)

-1536

which one.

................................

Step-by-step explanation:

................

Answer:

x = 15

Step-by-step explanation:

If A parallel to B then ∠ 2 and ∠ 4 are same- side interior angles and sum to 180° , then

2x + 10 + 4x + 80 = 180 , that is

6x + 90 = 180 ( subtract 90 from both sides )

6x = 90 ( divide both sides by 6 )

x = 15

Answer:

m = -1

y intercept = -6

Step-by-step explanation:

The given equation of the line is ,

[tex]\implies y = -x -6[/tex]

We know that the Standard equation of Slope Intercept Form of the line is,

[tex]\implies y = mx + c[/tex]

Where ,

On comparing to the Standard form of the line we get ,

[tex]\implies Slope = -1 [/tex]

[tex]\implies y - intercept= -6 [/tex]

Slope: -1

Hope it helps.

Do comment if you have any query.

Answer:

The value of P(AUB) = 0.438

Step-by-step explanation:

Given:

P(A) = 0.36

P(B) = 0.2

P(A∩B) = 0.122

Find:

The value of P(AUB)

Computation:

P(AUB) = P(A) + P(B) - P(A∩B)

The value of P(AUB) = 0.36 + 0.2 - 0.122

The value of P(AUB) = 0.56 - 0.122

The value of P(AUB) = 0.438

Answer:

Step-by-step explanation:

slope>0 so graph is increasing.

Answer:

Step-by-step explanation:

The formulas to find the x and y coordinates of E are:

[tex]x=\frac{bx_1+ax_2}{a+b}[/tex]  and  [tex]y=\frac{by_1+ay_2}{a+b}[/tex]  where x1, x2, y1, and y2 are from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in to find x first:

[tex]x=\frac{2(2)+1(-4)}{1+2}=\frac{4-4}{3}=0[/tex]  and now for y:

[tex]y=\frac{2(-3)+1(9)}{1+2}=\frac{-6+9}{3}=\frac{3}{3}=1[/tex]

The coordinates of E are (0, 1).

Given:

The points are A(2,-3) and B(-4,9).

The point E divides the segment AB in 1:2.

To find:

The coordinates of point E.

Solution:

Section formula: If a point divides a line segment in m:n, then the coordinates of the point is:

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Using the section formula, the coordinates of point E are:

[tex]E=\left(\dfrac{1(-4)+2(2)}{1+2},\dfrac{1(9)+2(-3)}{1+2}\right)[/tex]

[tex]E=\left(\dfrac{-4+4)}{3},\dfrac{9-6}{3}\right)[/tex]

[tex]E=\left(\dfrac{0)}{3},\dfrac{3}{3}\right)[/tex]

[tex]E=\left(0,1\right)[/tex]

Therefore, the coordinates of the point E are (0,1).

Answer:

The number of non empty proper subsets of a set with 3 elements is =23−2=8−2=6.

Answer:

The answer will be 0.45%

Step-by-step explanation:

im right

Answer:

Question 1: (C) Step 3

Question 2: (B) The 2nd graph from the left

Question 3: (A, B, D)

Question 4: (D) Subtract 1.1j from both sides

Question 5: (C) x <= 3

Question 6: (D) y = 10

Step-by-step explanation:

Question 1:

Step 3 is where Rahul added 1/4 to both sides. This is the only time he used the addition property of equality.

Question 2:

This questions requires you to have knowledge on how to graph lines.

g(x) = -1 is already graphed correctly on all of the answer choices, so we only have to focus on f(x) = -1/2x - 2.

The y-intercept for f(x) is -2, and only answers B & D have that intercept. However, only B has the correct slope of -1/2.

Question 3:

A is correct because they added 3/5x and x, which is still equal to the original equation.

B is correct because they multiplied all the terms to have a denominator of 30, then multiplied both sides by 30 to eliminate the fractions.

C is wrong because it's supposed to 30x, not just a regular x from the original equation.

D is correct because as you solve the equation for x, you end up adding 18x, 6x, and 30x, which is 54x. 24x + 30x in this answer choice also equals 54x.

E is wrong because they subtracted instead of adding the 6x.

Question 4:

All of the answer choices are wrong except for D because the other choices either use a wrong term (like 4j, which doesn't exist) or the wrong property of equality.

Question 5:

Use basic algebra to sovle the inequality:

2(4 + 2x) >= 5x + 5

(distribute 2 to the (4 + 2x))

8 + 4x >= 5x + 5

(subtract 5 from both sides)

3 + 4x >= 5x

(subtract 4x form both sides)

3 >= x

x <= 3

Question 6:

Use basic algebra to solve for y:

2.8y + 6 + 0.2y = 5y - 14

(subtract 6 from both sides)

2.8y + 0.2y = 5y -20

(add like terms)

3y = 5y - 20

(subtract 5y from both sides)

-2y = -20

(divide both sides by -2)

y = 10

Hope it helps (●'◡'●)

Answer:

35 miles

Step-by-step explanation:

Total Miles driven at full tank = 230 miles

Miles drive at full tank from Austin to Dallas = 195 miles

How many miles will be left once he arrives in Dallas?

Number of miles remaining at full tank = Total Miles driven at full tank - Miles drive at full tank from Austin to Dallas

= 230 miles - 195 miles

= 35 miles

Answer:

[tex]7b^2+6b-3[/tex]

Step-by-step explanation:

Given:

[tex]2b+7b^2-2+3b-1+b[/tex]

Combine like terms.

[tex]7b^2+6b-3[/tex]

Hope this helps.

Answer:

Solution given:

f(x) = [tex]\frac{1}{9}[/tex] x-2

let f(x)=y

y = [tex]\frac{1}{9}[/tex] x-2

interchanging role of x and y

x= [tex]\frac{1}{9}[/tex] y-2

x+2= [tex]\frac{1}{9}[/tex] y

y=9(x+2)

y=9x+18

So

F-¹(x)=9x+18

and

F-¹(-1)=9*-1+18=-9+18=9

Answer:

Step-by-step explanation:

i think A

Hope this helps!

the line passes point (0, -3) and (1, -5)

the slope = (-5+3) /(1-0) = -2/1 = -2

the y-intercept = -3

so, the equation : y = -2x -3

Answer:

34 is greater than or equal to z which is greater than or equal to 30

Answer:

216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.

Step-by-step explanation:

Dado que 4/9 de los adolescentes que confirmaron su asistencia fueron varones, y 4/5 de las mujeres a pesar que confirmaron su asistencia no participaron, y 24 que confirmaron su asistencia si participaron, para determinar cuántos adolescentes en total confirmaron su asistencia y cuántos adolescentes varones confirmaron su asistencia se deben realizar los siguientes cálculos:

5/9 x 1/5 = 24

5/45 = 24

1/45 = 4.8

4.8 x 45 = 216

216 / 9 x 5 = 120

216 / 9 x 4 = 96

Por lo tanto, en total 216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.

Answer:

Not sure what you are asking.

Domain is all x values .

It can be stated in coordinates (x,y). X is the input. Y is output

It can be stated in Domain Notations such as {x | x ≥ 0}

Answer:

57 x 1 =57

Step-by-step explanation:

Please remember identity property of multiplication says

An integer * 1 = the same integer

Using this property

57 x 1 = 57

Step-by-step explanation:

So here is my attempt. And i guess its correct

Step-by-step explanation:

The solution and answer are well written in the Pic above.

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Answer:

c. -x -y = 5

Step-by-step explanation:

parallel means same x

Answer:

answer

Step-by-step explanation:

h+2 ≥ 10

h ≥ 10 - 2

h ≥ 8

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  

a ^2 − b ^2 = ( a + b ) ( a − b )

where  

a = y

and  

b = 6  

( y + 6 ) ( y − 6 )

Answer:

6 x 2 = 8 + 11 = 19 x 3 = 57

Step-by-step explanation: