What is the slope of the line?

D. 6.

We have been given graph of a function. We are asked to find the average rate of change of our given function for the interval from [tex]x=-4[/tex] to [tex]x=-2[/tex].

We will use formula [tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=\frac{f(b)-f(a)}{b-a}[/tex] to solve our given problem.

[tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=\frac{f(-2)-f(-4)}{-2--4}[/tex]

[tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=\frac{6--6}{-2+4}[/tex]

[tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=\frac{6+6}{2}[/tex]

[tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=\frac{12}{2}[/tex]

[tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=6[/tex]

Therefore, the average rate of change for our given function on given interval would be 6 and option B is the correct choice.

Answer:

6

Step-by-step explanation:

because i am in credit recovery and i had a test on it

Answer:

(12, 6 )

Step-by-step explanation:

locate 12 cups of flour on the x- axis, then go vertically up to meet the line at (12, 6 )

that is 6 cups of sugar would be used with 12 cups of flour.

The salaries will be the same in year 20 and she will be earning $80,000. So, the first option is correct.

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

                  y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

We will first create an equation to represent the data.

To find the slope we use the formula

m = (y₂-y₁)/(x₂-x₁)

= (60,000-55,000) / (12-10)

= 5,000/2 = 2500

Writing this in point-slope form, we have

y-y₁ = m(x-x₁)

y-55,000 = 2500(x-10)

Converting to slope-intercept form,

y-55,000 = 2500 × x - 2500 × 10

y - 55,000 = 2500x - 25,000

y = 2500x + 30,000  

Now we set this equal to the equation from the graph:

2500x + 30,000 = 2000x + 40,000

Subtract 2000x from both sides:

2500x + 30,000 - 2000x = 2000x + 40,000 - 2000x

500x + 30,000 = 40,000

500x = 40,000 - 30,000

500x = 10,000

x = 10,000/500

x = 20

The salaries will be the same in year 20.

y= 2000(20) + 40,000

y= 40,000 + 40,000

= 80,000

The salary in year 20 will be $80,000.

Learn more about a point-slope form;

https://brainly.com/question/12743204

Answer:

Answer

d) 2 – i

Explanation

f(x) = x³ – 2x²

When x = i, we proceed as follows.

Note: i =

         i² =(√-1)(√-1) =  -1

         i³ = (√-1)(√-1)(√-1) = -1(√-1) = -1i = -i

f(x) = x³ – 2x²

f(i) = i³ – 2i²

    = -i – 2(-1)

    = -i + 2

     = 2 – i

Step-by-step explanation:

Answer:

The area is 3 feet

Step-by-step explanation:

The answer is 3 ft because if you do ¾×4 because of the four sides you will get 12/4 and that equals 3

Area of semi circle = π r²/2

= π 20 × 20 / 2

= 200 π

= 628 cm² (approx)

Answer:

To the nearest whole number : 628

Step-by-step explanation:

The formula for the area of a circle is :

To work out the area you would first need to work out the radius. You can do this by dividing the diameter of 40 cm by 2, this gives you 20 cm. This is because the radius is half of the diameter.

Now that we have worked out the radius, the next step would be to work out the area. You can do this by multiplying pi by the radius of 20 squared, this gives you 1256.64.

The final step is to work out the area of this semi-circle. You can do this by dividing the area of 1256.64 by 2, this gives you 628.32 . This is because a semi-circle is half of a circle.

1) Divide 40 by 2.

2) Multiply pi by 20 squared.

3) Divide 1256.64 by 2.

Answer:

Obliviousness: Being unaware of something.

Answer:

i think

Step-by-step explanation:

sorry i dont know the answer im just a children's

Answer:

14.4

Step-by-step explanation:

20.4-6 = 14.4

So his balls should grow 14.4 inches/feet/centimeters (whatever measuring tool you're asked to use)

Are you sure it's balls though

Answer:

20.4-6=14.4

since he wants his balls to grow you need to subtract how much he wants them tp grow by how tall the already are

Step-by-step explanation:

Answer:

To find the inverse of:

[tex]f (x)=\dfrac{4}{x-2}-1[/tex]

Set the function to y:

[tex]\implies y=\dfrac{4}{x-2}-1[/tex]

Rearrange to make x the subject:

[tex]\implies y+1=\dfrac{4}{x-2}[/tex]

[tex]\implies (y+1)(x-2)=4[/tex]

[tex]\implies xy-2y+x-2=4[/tex]

[tex]\implies xy+x=2y+6[/tex]

[tex]\implies x(y+1)=2y+6[/tex]

[tex]\implies x=\dfrac{2y+6}{y+1}[/tex]

Swap x and y:

[tex]\implies y=\dfrac{2x+6}{x+1}[/tex]

Change y to the inverse of the function sign:

[tex]\implies f[/tex][tex]\:^{-1}(x)=\dfrac{2x+6}{x+1}[/tex]

Rewrite g(x) as a fraction:

[tex]g(x)=\dfrac{3}{x+2}-2[/tex]

[tex]\implies g(x)=\dfrac{3}{x+2}-\dfrac{2(x+2)}{x+2}[/tex]

[tex]\implies g(x)=\dfrac{3-2(x+2)}{x+2}[/tex]

[tex]\implies g(x)=\dfrac{3-2x-4}{x+2}[/tex]

[tex]\implies g(x)=-\dfrac{2x+1}{x+2}[/tex]

Therefore, as the inverse of f(x) ≠ g(x), the functions are NOT inverses of each other

Answer:

Step-by-step explanation:

Let function p(x) be the price that is reduced by 15% if the bill is x dollars.

Since the price is not payed in full 100% is reduced by 15% we only pay

100 - 15 = 85 % of the original price.

p(x) = x· (100% - 15 %)  = x· 85% = 0.85 x

The function used to calculate any bill that is reduced by 15% is:

p(x) = 0.85x

x - is the bill before being reduced by the coupon

Answer:

60% chance a girl is picked

Step-by-step explanation:

There is 10 students in total. 6 out of 10 are girls. We can represent this in a fraction 6/10. Now we convert the fraction into a percentage 60%.

Answer:

Option c

(3,1)

Step-by-step explanation:

Solving system of equations:

y = -x + 4  ----------(I)

y = x - 2 -----------(II)

Add equation (I) & (II). So, x will be eliminated and we can find the value of y.

      (I)       y = -x + 4

     (II)       y = x -  2   {Now add}

               2y = 2

Divide both sides by 2

                y = 2/2

y =1

Substitute y = 1 in any of the equations. Here, we are substituting in equation  (II)

1 = x - 2

1 + 2 = x

x = 3

h-hey baddie! UwU! The answer is 24. Hope this helps onichan!-

Answer:

Yes, It looks great! I would suggest moving on to a littler harder problems like dividing integers! You can also look up integers practice and they will give you problems to solvle! If you dont know how to do it yet then you can simply skip but, You are doing wonderful!!! Good job and Good luck!

Step-by-step explanation:

[tex]C = 7.2b[/tex]

From the question we have that,

27 boxes --------------- $194.40

 b boxes --------------- C

Using the Rule of Three we have that,

[tex]27C = 194.40b[/tex]

Since we want a function that represents C in terms of b ( C = f(b) ) we can isolate C on the equation,

[tex]C = \frac{194.40}{27}b = 7.2b[/tex]

There are 9 men and 10 women, including Julia, who are trying out for a team. so there are 31,752 possible teams that would include Julia.

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

Each of the teams in a mixed volleyball league consists of 5 men and 5 women.

There are 9 men and 10 women, including Julia, who are trying out for a team.

The number of combinations for men

= (9 × 8 × 7 × 6 × 5)/(1 × 2 × 3 × 4 × 5)

=126.  

The number of combinations for women

= (10 × 9 × 8 × 7 × 6)/(1 × 2 × 3 × 4 × 5)

=252.

The number of the possible team would include Julia

(126 × 252) = 31,752.

Learn more about combinations;

https://brainly.com/question/19692242

Answer:

Vendor 1 had a higher unit rate.

Step-by-step explanation:

Answer:

Humans

Explanation:

So I can have wings :)

Answer:

If I could put wings on any species of animal, I would choose a Unicorn because then the Unicorn can fly and look at all the enviroment.

Step-by-step explanation:

The factors of 36x^8 – 49 are  (6x^4-7)(6x^4+7).

We are given to factor the following polynomial completely:

36x^8 – 49.

We have to find the complete factor of the given polynomial.

Completely factor means to continuously factor terms until they are in simple terms, meaning you are no longer able to factor

The formula for (a^2-b^2)= (a+b) (a-b).

Therefore applying the given formula we have,

[tex]F=(6x^4)^2-7^2[/tex]

[tex]F=(6x^4)^2-7^2\\F=((6x^4)-7)(6x^4)+7)[/tex]

Thus, the required factors are

[tex]F=((6x^4)-7)(6x^4)+7)[/tex]

Therefore,option (C) is correct.

To learn more about factors visit:

https://brainly.com/question/25829061

The factors of 36x^8 – 49 are  (6x^4-7)(6x^4+7).

We are given to factor the following polynomial completely:

36x^8 – 49.

We have to find the complete factor of the given polynomial.

Completely factor means to continuously factor terms until they are in simple terms, meaning you are no longer able to factor

What is the formula for (a^2-b^2)?

The formula for (a^2-b^2)= (a+b) (a-b).

Therefore applying the given formula we have,

b

Thus, the required factors are

b

Answer:

1

+t

3

+t

5

=39

t

2

+t

4

+t

6

=51

To find:

t

10

=?

Solution:

Let a be the first term and d be the common difference.

t

1

+t

3

+t

5

=39

or, a+a+2d+a+4d=39

or, 3a+6d=39

or, a+2d=13 .............(i)

t

2

+t

4

+t

6

=51

or, a+d+a+3d+a+5d=51

or, 3a+9d=51

or, a+3d=17

Subtracting eqn. from eqn. we get,

d=4

Putting value d=4 in eqn.(i) we get,

a+2×4=13

or, a=13−8

or, a=5

Now, t

10

=a+9d

t

10

=5+9×4

t

10

=5+36

t

10

=41

Answer:

m∠WVZ=90°

m∠XVW=90°

Step-by-step explanation:

m∠WVY=m∠WVZ+m∠ZVY

180°=9x-15°+90°

180°=9x+75°

180-75=9x

105°=9x

⇒x =    [tex]\frac{35}{3}[/tex]

So. m∠WVZ is

[tex]=9(\frac{35}{3})-15=3\times35-15\\=105-15=90[/tex]

m∠WVZ=90°

and same will be the m∠XVW

m∠XVZ=m∠XVW+m∠WVZ

180°=m∠XVW+90°

m∠XVW=180°-90°

m∠XVW=90°

Answer:

supplementary

Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other. Each diagonal of a parallelogram separates it into two congruent triangles.

Answer:

Supplementary

Step-by-step explanation:

The consecutive angles of a parallelogram are supplementary.

Two angles that add up to 180° are called supplementary angles.

This can be proven by creating a parallelogram and extending all segments to create two parallel lines transversing another set of two parallel lines.

I drew a diagram of this shape and considering that all the opposite lines are parallel, the central shape is a parallelogram.

Looking at the diagram attached, we know that the angle of a straight line is 180° (represented by the yellow of Angle 1 and the pink angle next to it) All angles of the same color are congruent by angle theorems consisting of corresponding and vertical angles.

If pink is x, and yellow is y, then we can say that x + y = 180°

So, therefore we can say that the consecutive angles of the parallelogram (Angle 1 and Angle 2) sum up to 180°, because they are made up of one pink angle and one yellow angle ( x and y )

The quotient of the equation is 1.5.

The quotient is the number that is generated when we perform division operations on two numbers. Basically, it is the result of the division method.

The given equation is;

[tex]\rm \dfrac{2m+4}{8}\div \dfrac{m+2}{6}[/tex]

By fraction, a quotient is a number obtained by dividing the dividend by the divisor which is a simple division of numerator and denominator.

The solution of the equation is determined in the following steps given below.

[tex]=\rm \dfrac{2m+4}{8}\div \dfrac{m+2}{6}\\\\=\rm \dfrac{2m+4}{8}\times \dfrac{6}{m+2}\\\\=\rm \dfrac{2(m+2)}{8}\times \dfrac{6}{m+2}\\\\=\dfrac{2\times 6}{8}\\\\=\dfrac{12}{8}\\\\=1.5[/tex]

Hence, the quotient of the equation is 1.5.

Learn more about quotient here;

brainly.com/question/17431959

Answer:

2/3

Step-by-step explanation:

What is the quotient?

StartFraction 2 m + 4 Over 8 EndFraction divided by StartFraction m + 2 Over 6 EndFraction

StartFraction 24 Over (m + 2) squared EndFraction

StartFraction (m + 2) squared Over 24 EndFraction

Two-thirds

Three-halves

oliver bought 7 bags of candy each bags cost 1.50  

Answer-$10.50

Answer:

10.5

Step-by-step explanation:

you take 1.50 and times it by how many bags there are so 7

1.50×7=10.5

The factored expression ofx^3 - 7x^2 -5x +35 is (x^2 - 5)(x - 7)

An expression is an algebraic term used for a mathematical statement that includes addition subtraction multiplication and division

x^3 – 7x^2 – 5x + 35

factor the given equation

x^2(x – 7) – 5(x - 7)

Factor out x - 7

(x^2 - 5)(x - 7)

Therefore, the factored expression is (x^2 - 5)(x - 7)

To learn more about the factored expression visit:

https://brainly.com/question/723406

Answer:

c. (x^2 - 5)(x - 7)

Step-by-step explanation:

c. (x^2 - 5)(x - 7)

Answer:

D

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ BCD is an exterior angle of the triangle , then

∠ BCD = 35° + 67° = 102°