Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.

Answer:

2.65

Step-by-step explanation:

15.00 - 12.35 = 2.65

...I don't really know how do explain it but yeah thats the answer.

Hope it helps c:

Answer:

Step-by-step explanation:20

20  130  3  8.12 - 1) 2:2  12-1  21=-11 # 1 - 2 1212 II + 3) 472 I + 3 2(1 - 1) -1 2:2 3(12 - 1) 32 – 23– 3+.

Answer:

360 cm^2

Step-by-step explanation:

Find the area of each face of the triangular prism.

Imagine the triangular prism as its net, it is composed with 2 triangular faces (these are tye bases of the prism) and 3 rectangular faces.

Areas of the 2 triangular bases (they are similar triangles):

1/2 x 8 cm x 6 cm = 24 cm^2

24 x 2 = 48 cm^2

Area of the rectangular face:

8 x 13 = 104 cm^2

Area of another rectangular face:

6 cm x 13 cm = 78 cm^2

Area of another rectangular face:

13 cm x 10 cm = 130 cm^2

Add up all the areas of all faces:

48 + 104 + 78 + 130 = 360

So the SA is 360 cm^2

Answer:

z = -i

Step-by-step explanation:

1 - iz=-1 +iz

Add iz to each side

1 - iz+iz=-1 +iz+iz

1 = -1 +2iz

Add 1 to each side

1+1 = -1+1 +2iz

2 = 2iz

Divide by 2

2/2 = 2iz/2

1 =iz

Divide by i

1/i = iz/i

1/i =z

Multiply the left by i/i

i/i^2 = z

i/-1 =z

-i =z

Answer:

12

Step-by-step explanation:

The interquartile range is the difference between the lower quartile and the upper quartile

We can find the quartiles at the beginning and the end of the box

At the beginning of the box, we have the lower quartile, while at the end, we have the upper quartile

from what we have ;

The lower quartile is 29 while the upper quartile is 41

So the difference between the two which is the interquartile range is ;

41-29 = 12

Answer:

12

Step-by-step explanation:

Answer:

the answer is in the pic so like yea hope that helps

Answer:

-5, -8, -11

Step-by-step explanation:

Common difference:

[tex]d = 4 - 7 \\ d = - 3[/tex]

Answer:

- 5, - 8, - 11

Step-by-step explanation:

The common difference between the given terms is

4 - 7 = 1 - 4 = - 2 - 1 = - 3

The to find the next term subtract 3 from the previous term , that is

- 2 - 3 = - 5

- 5 - 3 = - 8

- 8 - 3 = - 11

Answer: IT IS CONGRUENT BY ASA POSTULATE.

Step-by-step explanation:

ACCORDING TO THE GIVEN IMAGE

CONSIDER TRIANGLE 1 AS TRIANGLE ABC AND TRIANGLE 2 AS TRIANGLE PQR

IN TRIANGLE ABC AND PQR

ANGLE B = ANGLE C ( 90 DEGREES )

AC = PR ( GIVEN IN FIGURE )

A TRIANGLE HAS SUM OF INTERIOR ANGLES AS 180 DEGREES

IF ANGLE B AND ANGLE Q ARE 90 DEGREES, ANGLE A + ANGLE C = ANGLE P + ANGLE R

WE HAVE ALREADY PROVED THAT AC = PR

If two triangles have one angle equal to one angle, two sides adjoining the equal angles equal, namely, one side adjoining the equal angles, and one opposite the equal angles, and the remaining angles either both less or both not less than a right angle, then the remaining side equals the remaining side and the remaining angles equal the remaining angles.

SO ANGLE A = ANGLE P

THEREFORE BY ASA CONGRUENCY TRIANGLE ABC IS CONGRUENT TO TRIANGLE PQR

HOPE IT HELPS YOU......

(IF I HAVE MADE ANY MISTAKES PLS COMMENT BELOW)

Answer:

Answer is A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer is C because if swimmer A does 14 laps to start an 3 laps every day after that and on the chart swimmer B does 11 laps to start and 2 laps every day after that you would compare.

on day 3 swimmer B has 17 (shown on chart)

on day 3 swimmer A has 23 (14, 17, 20, 23)

if you would want it to complicate it 14:3 and 11:2

14 ÷ 14 is 1

3 ÷ 14 is .214

11 ÷ 11 is 1

2 ÷ 11 is .181

Here

[tex]\\ \sf\longmapsto \frac{7}{x} = \frac{15}{10} \\ \\ \sf\longmapsto 7 \times 10 = 15x \\ \\ \sf\longmapsto 15x = 70 \\ \\ \sf\longmapsto x = \frac{70}{15} \\ \\ \sf\longmapsto \boxed{ \sf x = 4.6cm}[/tex]

Answer:

i can help you i know this answer

Answer:

Step-by-step explanation:

To answer this, we need only solve for x and then use Pythagorean's Theorem to find z. We have the length of the hypotenuse which is 15, and we also have the base angle of 60. To solve for x we can use the trig ratio

[tex]cos60=\frac{x}{15}[/tex] and

x = 15cos60 which gives us that

x = [tex]\frac{15}{2}[/tex]

Now we can use Pythagorean's Theorem to find z, the other leg of the big triangle.

[tex](\frac{15}{2})^2+z^2=15^2[/tex] and

[tex](\frac{225}{4})+z^2=225[/tex] and

[tex]z^2=225-\frac{225}{4}[/tex] and getting a common denominator:

[tex]z^2=\frac{900}{4}-\frac{225}{4}[/tex] and

[tex]z^2=\frac{675}{4}[/tex] now we take the square root by simplifying the radical to get

[tex]z=\frac{15\sqrt{3} }{2}[/tex]

and that's what goes into the blanks there, one number per blank.

Answer:

28

Step-by-step explanation:

7.2 is rounded down to 7, 7.3 is rounded down to 7, 6.9 is rounded up to 7, and 6.8 is rounded up to 7. Then you can add 7+7+7+7 to get an estimation of 28.

Answer:

16.  25/45 ; 18/45

17  4/7; 4/7

Step-by-step explanation:

5/9 and 2/5

The common denominator is 45

5/9 * 5/5 = 25/45

2/5 *9/9 = 18/45

4/7  and 12/21

Simplify 12/21 by dividing by 3 in the numerator and denominator

12/21 = 4/7

4/7; 4/7

The common denominator is 7

16:25/45;18/45

17: 4/7;4/7

Answer:

16:5/9;2/5

Common denominator is 9*5=45

now

make a equal denominator

5/9=5/9*5/5=25/45

2/5=2/5*9/9=18/45

and

17: 4/7;12/21

common denominator =7

4/7

12/21=4/7

Answer:

Yes Ella has enough to make 30 mince pies

Step-by-step explanation:

Step-by-step explanation:

to make 36 mince pies you will need

400g of butter

500g of flour

300g of sugar

500g of mince meat

2 eggs

Ella has 1000g of butter

1000g of flour

500g of sugar

600g of meat

6 eggs

these ingredients are more than enough because

1000g-400g=600g-butter

1000g-500g=500g flour

500g-300g=200g sugar

600g-500g=100g mince meat

6-1= 5 eggs

if she were to follow the 36 pie recipe, which is two times the 18 pie recipe

but like  I don't know, because it says a recipe for 18 mince pies, but in the box it says 12

Answer:

6x+20

Step-by-step explanation:

F(x) = 6x+2

f(x+3) means replace x with x+3

F(x+3) = 6(x+3)+2

         = 6x+18+2

         = 6x+20

Answer:

A; F(x+3) = 6x^2 + 20x + 6

Step-by-step explanation:

To find it you just would multiply F(x) onto the other side. So it would look like this:

           F(x+3) = 6x + 2 (x+3)            

          F(x+3) = 6x^2 + 2x + 18x + 6            *combine like terms getting you

           F(x+3) = 6x^2 + 20x + 6    

Hope this helped!!

Answer:

11

Is it (4 1/3-1 2/5) divided by 4/15 I don't really know what you mean

Answer: 0.667

Step-by-step explanation:

6/9 ⇔ Given

2/3 ⇔ Simplify fraction

0.666... (repeating) ⇔ Convert fraction to decimal

0.667 ⇔ Round to 3 decimal (Since 6 is more than 5, thus we need to

               rounding up)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

We know,

CB = BD

The equation,

2(x-1)=3x-11

solve for x,

x=9

CB = 16

DB = 16

Answered by GAUTHMATH

Answer:

only the third answer is right.

Step-by-step explanation:

to solve it, we need to bring everything to the same denominator (the expression below the division line) or eliminate it completely.

how do we do it ? by multiplying everything with the same expression, so that we can eliminate the denominator for every term.

when looking for the best option I see that

(x² + 5x + 6) = (x + 2)×(x + 3)

that is great, because this covers all 3 denominators in our main expression.

so, we multiply everything by ((x+2)×(x+3)) and eliminate the denominators and the corresponding part of our multiplier.

that leaves us with

x×(x+3) + 2 = 5×(x+2)

now we simply simplify the expression

x² + 3x + 2 = 5x + 10

x² - 8x - 8 = 0

a squared equation has typically 2 solutions. and they are defined as

x = (-b ± sqrt(b² - 4ac)) / (2a)

in our case

a = 1

b = -8

c = -8

x = (8 ± sqrt(64 + 32)) / 2 = (8 ± sqrt(96))/2 =

= (8 ± sqrt(16×6))/2 = (8 ± 4×sqrt(6))/2 = 4 ± 2×sqrt(6)

x1 = 4 + 2×sqrt(6)

x2 = 4 - 2×sqrt(6)

both solutions are different from -2 or -3, therefore -2 and -3 are not solutions at all, and they cannot be extraneous solutions either for that reason.

and since we have 2 perfectly fine solutions, the answer options work no or only one solutions are wrong too.

Answer:

19 and 157

Step-by-step explanation:

Answer:

the constant is the number without an x attaches to it.

Ex:

y = 2x + 9

9 is a constant because it is not attached to any x

y = x^3 + 2x^2 + 10x + 19

19 is a constant because it is not attached to any x

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but I will show how to solve it.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Rigid transformations are transformations that do not change the size or shape of the object. Types of rigid transformations are rotation, reflection and translation.

Since rotation is a rigid transformation so the sides of the parallelogram does not change, hence:

R'A' = RA

Answer:

3.2

Step-by-step explanation:

Answer:

∠1=a+b/2

∠1=37+25/2

∠1=31

Answer: C) 31

-------------------------

Hope it helps...

Have a great day!!!

The angle measure of angle ∠1 is 31°.

The correct option is C.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given information:

The circle is centered at y.

As per the provided diagram,

The angle measure of an arc let a = 37°.

And b = 25°.

To find the angle measure of ∠1:

Apply formula (a + b)/2,

So as per the provided values of a = 37° and b = 25°.

Therefore,

m∠1 = (37 + 25)/2

m∠1 = 62/2

m∠1 = 31°.

Therefore, m∠1 = 31°.

To learn more about the angle measure;

brainly.com/question/14684647

#SPJ7

Answer:

they help you in the future and help getting a job in the future and they don't convey because its good and not bad for you.

Step-by-step explanation:

Answer:

x=72

Step-by-step explanation:

Let y=kx and y=a/x^2. y(48)=8, k=(1/6). y=(1/6)*x. 12=(1/6)*x. x=72

Solution :

[tex]$y=x^{3/2}, \ \ y =8, \ \ x=0$[/tex]

[tex]$v=2 \pi \int_0^4 x (8-x^{3/2}) \ dx$[/tex]

 [tex]$= 2\pi \left(\frac{8x^2}{2}-\frac{x^{7/2}}{7/2}\ \left|_0^4[/tex]

 [tex]$=2\pi \left( 4x^2-\frac{2}{7}x^{7/2}\ |_0^4$[/tex]

 [tex]$=2\pi \left( 64-\frac{2}{7} \times 32 \times 4 \right)$[/tex]

  [tex]$=2\pi \left(1-\frac{4}{7} \right) 64$[/tex]

  [tex]$=128 \pi \times \frac{3}{7}$[/tex]

 [tex]$=\frac{384 \pi}{7}$[/tex]

Answer:

(−3)(+2)(3+2)

Step-by-step explanation:

Factor by grouping

Factor by grouping

Factor by grouping

Factor by grouping

(−3)(32+8+4)

Factor by grouping

Factor by grouping

Factor by grouping

Factor by grouping

(−3)(+2)(3+2)