Given the function g(x)=-x^2+6x+12g(x)=−x
2
+6x+12, determine the average rate of change of the function over the interval -3\le x \le 5−3≤x≤5.

Answer:

A=1\8

c=4

then b=2

i am only do this by getting fun and do for help other

The value of [b] if a = 1/8 and c = 4 will be 33/16.

The mean of two numbers [a] and [b] is -

[M] = (a + b)/2

Given is that a = 1/8 and c = 4.

We have the following values -

a = 1/8

c = 4

Therefore, we can write the value of [b] as -

b= (1/8 + 4)/2

b = (33/8)/2

b = 33/8 x 1/2

b = 33/16

Therefore, the value of [b] if a = 1/8 and c = 4 will be 33/16.

To solve more questions on mean, visit the link below-

https://brainly.com/question/27270417

#SPJ2

Answer:

25x<25x

Step-by-step explanation:

i think its that

Answer:

1 ≤ x

Step-by-step explanation:

20 + 5x [tex]\leq[/tex] 5(1 + 4x)

20+ 5x ≤  5 + 20x

      -5x           -5x

20 ≤ 5 + 15x

-5     -5

15 ≤ 15x

÷15   ÷15

1 ≤ x

Answer:

40 degrees

Step-by-step explanation:

There are parallel lines and a transversal. That means that angle a and b are congruent due to corresponding angles theorem.

5x-5=3x+13

Move the variables on one side and numbers on the other. 2x=18

Finally, x=9 And then after you plug it in, your final answer for angle b is 40 degrees.

Answer:

Step-by-step explanation:

Well both angles are the same because the lines are parallel and then there is a line going through them so <A = <B   meaning

5x-5=3x+13 and then you solve

5x - 3x = 13 + 5

2x = 18

x = 9

Answer:

It would be 26

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Hope This Helps!

Plz Mark Brailiest!

[tex]\huge\green{Answer}[/tex]

infinite solutions

Explanation:

note that

2(x+1)=2x+2

⇒2x+2=2x+2

since both sides of the equation are equal then any value

of x is a solution to the equation

⇒ there are an infinite number of solutions

Answer:

true

Step-by-step explanation:

2(x + 1) = 2x + 2

2x + 2 = 2x + 2

0 = 0

Answer:

4.5 feet, or is there is 5 feet as an option, then 5 feet.

Step-by-step explanation:

ya just subtract

Answer:

Distributive propery

Answer:

You will need 3 gallons and the total square feet is 432.

Step-by-step explanation:

I hope this helps. Have a good day!

Answer:

C

Step-by-step explanation:

B 1/2

Step-by-step explanation:

0.78 can be written as the fraction 71/90 after simplifying by dividing both the numerator and denominator by the greatest common divisor, which is 0.1.

To rewrite the repeating decimal 0.78 as a simplified fraction, we can use the concept of geometric series.

Let x = 0.78

Multiply both sides by 10 to shift the decimal point:

10x = 7.88

Subtract the original equation from the multiplied equation to eliminate the repeating part:

10x - x = 7.88 - 0.78

This simplifies to:

9x = 7.1

Now, divide both sides of the equation by 9 to isolate x:

x = 7.1/9

To express the fraction in simplest form, we can find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by the GCD:

GCD(7.1, 9) = 0.1

Dividing both the numerator and denominator by 0.1 yields:

7.1/9 ÷ 0.1/0.1 = 71/90

Therefore, the repeating decimal 0.78 is equivalent to the simplified fraction 71/90.

For more such question on numerator visit:

https://brainly.com/question/20712359

#SPJ8

Answer:

1/2

Step-by-step explanation:

see attached picture.

Answer:

30−2(32+6)

=30−2(9+6)

=30−(2)(15)

=30−30

=0

Answer:

Step-by-step explanation:

(2n+1)(n+5) - 2(n+3) - (5n+13) = 2n² + 4n - 14 (*)

+) if n is divisible by 3 ⇒ n= 3k ⇒ (*)⇔ 2.9k² + 4.9k -14

2.9k² + 4.9k = 3( 2.3k² +4.3k) ║ 3 but  14∦3

⇒ with n =3k, (*)∦ 3 (1)

+) if n = 3k + m (m∦ 3)

⇒ (*) ⇔ 2.(3k+m)² + 4.(3k+m) -14 = 2.9k² + 2.3k.m + 2m² + 4.3k + 4m -14

= 3(2.3k² + 2.km + 4k) +2m² + 4m -14

3(2.3k² + 2km + 4k)║3 but (2m²+4m-14)∦3

⇒ with n = 3k+m, (*) ∦ 3 (2)

(1)(2)⇒ [(2n+1)(n + 5) - 2(n+3) - (5n+13)] ∦ 3

⇒ (2n+1)(n+5)–2(n+3)–(5n+13)   is not divisible by 6 for any whole n

Answer:

The answer is 1

Step-by-step explanation:

combine like terms!

[tex]8+6x-5x+2+2x=12\\8+2+6x-5x+2x=12\\10+6x-5x+2x=12\\10+x+2x=12\\10+2x=12\\2x=2\\x=1[/tex]

hope this helps!!

Answer:

[tex]\left(3c-2\right)\left(6a-5\right)[/tex]

Step-by-step explanation:

[tex]18ac - 12a - 15c + 10\\\\=\left(18ac-12a\right)+\left(-15c+10\right)\\\\\mathrm{Factor\:out\:}-5\mathrm{\:from\:}-15c+10\mathrm{:\quad }-5\left(3c-2\right)\\\\\mathrm{Factor\:out\:}6a\mathrm{\:from\:}18ac-12a\mathrm{:\quad }6a\left(3c-2\right)\\\\=-5\left(3c-2\right)+6a\left(3c-2\right)\\\\\mathrm{Factor\:out\:common\:term\:}3c-2\\\\=\left(3c-2\right)\left(6a-5\right)[/tex]

(3c-2)(6a-5)

Explain

18ac-12a-15c+10

(18ac-12a)+(-15c+10)

Factor out -5 from-15c+10: -5(3c-2)

Factor out 6a from 18ac-12a: 6a(3c-2)

= -5(3c-2)+6a(3c-2)

Factor out common terms 3c-2

(3c-2)(6a-5)

:) Hope you enjoy :)

Answer:

Step-by-step explanation:

I hope this helps!

Answer:

2 miles per hours

Step-by-step explanation:

You divide 1/3 mile by 1/6 hour

Use the reciprocal.

1/3 x 6/1 = 2/1

Simplify

2/1 = 2

You can also solve it this way:

If 1/6 hour is 10 minutes, and it takes 10 minutes to walk 1/3 a mile, then it would take 30 minutes to walk a mile.

30 x 2 = 60

Either way, Richard walks 2 miles per hour.

Richard is walking at an average speed of 2 miles per hour which is the correct answer would be option (B).

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

To determine how fast is Richard walking, in miles per hour

We have to calculate the average speed which is the ratio of the total distance traveled by a body to the total time

Total distance traveled by Richard = 1/3 mile

The total time taken = 1/6 hour

Average speed = the total distance / the total time

Average speed = (1/3) / (1/6)

Reciprocal the denominator term, and we get

Average speed = (1/3) × 6

Average speed = 2 miles per hour

Therefore, he is at an average speed of 2 miles per hour

Learn more about the average speed here :

brainly.com/question/12322912

#SPJ2

Answer:

-12.2, -12, -55.5 and -55

Answer:

Hey mate......

This is ur answer......

-55.5< -55< -12.2< -12

hope it helps,

mark me as the brainliest,

follow me....

Answer:

Z= [tex]-\frac{3}{245}[/tex]

Step-by-step explanation:

Answer:

x3+y3+z3=k  with k is integer from 1 to 100

solution x=0 , y=0 and z=1 and k= 1

For K= 1 , we have the following solutions (x,y,x) = (1,0,0) ; or (0,1,0) ; or (0,0,1) ,

For k =1 also (9,-8,-6) or (9,-6,-8) or (-8,-6,9) or (-8,9,-6) or (-6,-8,9) or (-6,9,8)

And (-1,1,1) or (1,-1,1)

=>(x+y)3−3x2−3xy2+z3=k

=>(x+y+z)3−3(x+y)2.z−3(x+y).z2=k

=>(x+y+z)3−3(x+y)z[(x+y)−3z]=k

lety=αand z=β

=>x3=−α3−β3+k

For k= 2 we have (x,y,z) = (1,1,0) or (1,0,1) or (0,1,1)

Also for (x,y,z) = (7,-6,-5) or (7,-6,-5) or (-6,-5,7) or (-6,7,-5) or (-5,-6,7) or (-5,7,-6)

For k= 3 we have 1 solution : (x,y,z) = (1,1,1)

For k= 10 , we have the solutions (x,y,z) = (1,1,2) or (1,2,1) or (2,1,1)

For k= 9 we have the solutions (x,y,z) = (1,0,2) or (1,2,0) or (0,1,2) or (0,2,1) or (2,0,1) or (2,1,0)

For k= 8 we have (x,y,z) = ( 0,0,2) or (2,0,0) or (0,2,0)

For k= 17 => (x,y,z) = (1,2,2) or (2,1,2) or ( 2,2,1)

For k = 24 we have (x,y,z) = (2,2,2)

For k= 27 => (x,y,z) = (0,0,3) or (3,0,0) or (0,3,0)

for k= 28 => (x,y,z) = (1,0,3) or (1,3,0) or (1,3,0) or (1,0,3) or (3,0,1) or (3,1,0)

For k=29 => (x,y,z) = (1,1,3) or (1,3,1) or (3,1,1)

For k = 35 we have (x,y,z) = (0,2,3) or (0,3,2) or (3,0,2) or (3,2,0) or 2,0,3) or (2,3,0)

For k =36

we have also solution : x=1,y=2andz=3=>

13+23+33=1+8+27=36 with k= 36 , we have the following

we Have : (x, y,z) = (1, 2, 3) ; (3,2,1); (1,3,2) ; (2,1,3) ; (2,3,1), and (3,1,2)

For k= 43 we have (x,y,z) = (2,2,3) or (2,3,2) or (3,2,2)

For k = 44 we have ( 8,-7,-5) or (8,-5,-7) or (-5,-7,8) or ( -5,8,-7) or (-7,-5,8) or (-7,8,-5)

For k =54 => (x,y,z) = (13,-11,-7) ,

for k = 55 => (x,y,z) = (1,3,3) or (3,1,3) or (3,1,1)

and (x,y,z) = (10,-9,-6) or (10,-6,-9) or ( -6,10,-9) or (-6,-9,10) or (-9,10,-6) or (-9,-6,10)

For k = 62 => (x,y,z) = (3,3,2) or (2,3,3) or (3,2,3)

For k =64 => (x,y,z) = (0,0,4) or (0,4,0) or (4,0,0)

For k= 65 => (x,y,z) = (1,0,4) or (1,4,0) or (0,1,4) or (0,4,1) or (4,1,0) or (4,0,1)

For k= 66 => (x,y,z) = (1,1,4) or (1,4,1) or (4,1,1)

For k = 73 => (x,y,z) = (1,2,4) or (1,4,2) or (2,1,4) or (2,4,1) or (4,1,2) or (4,2,1)

For k= 80=> (x,y,z)= (2,2,4) or (2,4,2) or (4,2,2)

For k = 81 => (x,y,z) = (3,3,3)

For k = 90 => (x,y,z) = (11,-9,-6) or (11,-6,-9) or (-9,11,-6) or (-9,-6,11) or (-6,-9,11) or (-6,11,-9)

k = 99 => (x,y,z) = (4,3,2) or (4,2,3) or (2,3,4) or (2,4,3) or ( 3,2,4 ) or (3,4,2)

(x,y,z) = (5,-3,1) or (5,1,-3) or (-3,5,1) or (-3,1,5) or (1,-3,5) or (1,5,-3)

=> 5^3 + (-3)^3 +1 = 125 -27 +1 = 99 => for k = 99

For K = 92

6^3 + (-5)^3 +1 = 216 -125 +1 = 92

8^3 +(-7)^3

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

Step 1: Subtract 10 from both sides.

2x+10−10=28−10

2x=18

Step 2: Divide both sides by 2.

2x /2  =  18 /2

Answer:

a) The daily fee is $102

The processing fee is $42

b) The maximum number of days the beach house can be rented with no more than $1,200 is (by rounding down) 11 days

Step-by-step explanation:

The data given in the table are as follows;

Number of days (t)  [tex]{}[/tex]                       Total cost, T (dollars)

2               [tex]{}[/tex]                                       246

4   [tex]{}[/tex]                                                   450

6  [tex]{}[/tex]                                                    654

8   [tex]{}[/tex]                                                   858

Whereby, we have that the processing fee is P, and the daily fee is D, we can write;

Total cost, T = D × t + P

From the table, we have;

When t = 2 days and T = $246, the above equation for total cost becomes;

$246 = D × 2 + P = 2·D + P

246 = 2·D + P.....(1)

Similarly, when t = 6 days, and T = $654, we have;

$654 = D × 6 + P = 6·D + P

654 = 6·D + P.....(2)

Subtracting equation (1) from equation (2) gives;

654 - 246 = 6·D + P - (2·D + P)

408 = 4·D

D = 408/4 = 102

The daily fee, D = $102

From equation (1), we have;

246 = 2·D + P = 2 × 102 + p

p = 246 - 2 × 102 = 42

P = $42

The processing fee, P = $42

b) Given that the maximum amount available (total amount) for spending on the beach house rental = $1200, we have;

T = D × t + P

Where, D = $102 and P = $42 are constants and T = $1,200, we have;

1,200 = 102 × t + 42

t = (1200 - 42)/102 ≈ 11.35 days

Given that we can only rent the beach house for a whole number of days, the number of days the beach house can be rented is therefore, by rounding down, t = 11 days.

a) D = $102

   P = $42

b) t = 11 days

Step-by-step explanation:

Given :

Data in the table -

Days (t)                    Total cost (dollors) (T)

 2                                        246

 4                                        450

 6                                        654

 8                                        858

Calculation :

a) Let the total processing fee is P and the daily fee is D.Now,

[tex]\rm T = D \times t + P[/tex]     ------------  (1)

Now, from the table we have ,

When t = 2 days and T = $246 than equation (1) becomes  

[tex]\rm 246 = D\times 2+ P = 2D + P[/tex]  

246 = 2D + P   ------- (2)  

Similarly, when t = 6 days, and T = $654, then equation (1) becomes  

[tex]\rm 654 = D\times 6+ P = 6D + P[/tex]  

654 = 6D + P   --------- (3)  

Subtracting equation (2) from equation (3) ,  

654 - 246 = 6D + P - (2·D + P)  

408 = 4D  

D =  $102    

From equation (2),  

246 = 2·D + P = 2 × 102 + p  

p = 246 - 2 × 102 = 42  

P = $42    

b) Given:

The maximum amount available for spending on the beach house rental = $1200

 Now,

[tex]\rm T= D\times t + P[/tex]  

Where, D = $102 and P = $42 are constants and T = $1,200,  

1200 = 102t + 42  

t = 11.35 days  

Given that we can only rent the beach house for a whole number of days. therefore, the number of days the beach house can be rented is, t = 11 days.

For more information, refer the link given below

https://brainly.com/question/15171617?referrer=searchResults