What is the range of the function graphed below?

Answer:

[tex](6x + 12) = - 24 \\ 6x = - 24 - 12 \\ 6x = - 36 \\ \\ x = \frac{ - 36}{6} \\ \\ x = - 6[/tex]

I hope I helped you^_^

6x+12=-24

or,6x=-24-12

or,6x=-36

or,x=-36/6

;x=-6

Answer:

See below

Step-by-step explanation:

We have the series

[tex]$\sum _{ n=0 }^{ \infty }{ 3(0.8)^n}$[/tex]

(a) To show that the sum of first [tex]n[/tex] terms is [tex]S_n= 15(1-0.8^n)[/tex]

Consider that the this sum is given as

[tex]S_n = 3\dfrac { 1-{ r }^n}{ 1-r }[/tex]

In this case, the ratio is 0.8, thus, [tex]r=0.8[/tex]

[tex]S_n = 3\dfrac { 1-{ 0.8 }^n }{ 1-0.8 }[/tex]

[tex]3\dfrac { 1-{ 0.8 }^{ n } }{ 1-0.8 } = 15(1-0.8^n) \iff 3(1-{ 0.8 }^{ n }) = 15(1-0.8^n)( 1-0.8) \iff 3 = 15(1-0.8) \iff 3 = 15-12 = 3[/tex]

Therefore,

[tex]S_n = 3\dfrac { 1-{ 0.8 }^n }{ 1-0.8 } = 15(1-0.8^n)[/tex]

[tex]\dfrac{S_6}{S_4} = \dfrac{15(1-0.8^6)}{15(1-0.8^4)} = \dfrac{(1-0.8^6)}{(1-0.8^4)} = \dfrac{0.737856}{0.5904} = \dfrac{737856}{5904} = \dfrac{144\cdot 5124}{144\cdot 41} = \boxed{\dfrac{5124}{41} }[/tex]

(b) Calculate the smallest integer value of [tex]n[/tex] such that [tex]S_{40} -S_n < \dfrac{1}{2}[/tex]

Once [tex]S_{40} \approx 15 \text{ and } S_n>14.5, \text{ thus } S_{40} \approx S_n, \text{ but } n \text{ is considerably smaller than 40}[/tex]

I am considering [tex]S_{40}=15[/tex], so

[tex]15-15(1-0.8^n) < \dfrac{1}{2} \implies 0.8^n < 0.03 \implies n> 15.71[/tex]

[tex]\text{Once } n\in\mathbb{Z}, \text{ then } n=16[/tex]

Answer:

x² - 28x√x + 294x - 1372√x + 2404

Step-by-step explanation:

f(x) = [tex]x^{4}[/tex] + 3

g(x) = x - 7

h(x) = √x

f(g(h(x))) - ?

g(h(x)) = √x - 7

f(g(h(x))) = [tex](\sqrt{x} -7) ^{4}[/tex] + 3 = ( √x - 7 )² × ( √x - 7 )² + 3 =

= (x - 14√x + 49)(x - 14√x + 49) + 3 =

= x² - 14x√x + 49x - 14x√x + 196x - 686√x + 49x - 686√x + 2401 + 3 =

=  x² - 28x√x + 294x - 1372√x + 2404

Answer:

sorry i don't know

i hope i can help u next time

Answer:

20

Step-by-step explanation:

solve expression like in the image attached

Answer:

3.45

Step-by-step explanation:

Do long division to get your answer, but instead of division you can just multiply 15 x 3.45 and you'll get 51.75.

Answer:

The answer is 3.45.

Step-by-step explanation:

The cost of 1 oz of chip is $ [tex]\frac{3}{4}[/tex]

Given :

It costs $6 for an 8 oz bag of chips

Explanation

8 oz of chips cost $6

For example , If 5 pencils cost $10

then 1 pencil cost = [tex]\frac{10}{5} =2[/tex]

We are asked to find cost of 1 oz, so we divide the cost by the number of oz

8 oz of chips cost $6

1 oz cost =[tex]\frac{6}{8}=\frac{3}{4}[/tex]

The cost of 1 oz of chip =$ [tex]\frac{3}{4}[/tex]

Learn more :  brainly.in/question/36777351

Answer:

b = c/a

Step-by-step explanation:

a/b = c

c/a = b

Step-by-step explanation:

no of even numbers=84

84/168

1/2

plsss mark brainliesttt

Subtract  0.75 p  from  p  to get 0.25 p

Answer:

x=4

Step-by-step explanation:

first distribute

add 18 both side and don't be hurry do carefully

Answer:

yes.

Step-by-step explanation:

90 Degree Rotation. When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x).

Step-by-step explanation:

[tex]6 \times 10 + 4 \times 10 + 3 \times 10 + 7 \times 10 + 2 \times 10 [/tex]

[tex]=(6+4+3+7+2)\cdot 10[/tex]

[tex]=22\cdot10[/tex]

[tex]=(2\cdot10+2)\cdot10[/tex]

[tex]=2\cdot10^2+2\cdot10[/tex]

Answer:

Step-by-step explanation:

1 & 2 are on the attachment

3 --------------

4)4x+5=17

 5x+5=20

5)2x+15+85+x+20=180

   3x+120              =180-120

                        3x=60

                          x=20 degrees

6)son's age=x

  3x+x=48

   4x=48

    x=12            

Therefore; son's age=12 years old

                  Mr.Robert age=12*3

                                           =36 years old

Hope this helps you

If you have any question just ask me

If you think this is the best answer please mark me as brainiest

Answer:

Step-by-step explanation:

36 cubic meters

Answer:

12 sqrt 2 (D)

Step-by-step explanation:

12^2=144

Divide 288 by 144=

2

Bring out the 12

12 sqrt 2

Answer:

D

Step-by-step explanation:

[tex]\sqrt{288}=\sqrt{2\cdot 144}\\=\sqrt{144}\cdot \sqrt{2}\\=12\sqrt{2}[/tex]

Answer:

d

Step-by-step explanation:

48/6=8

8/1

Answer:

[tex]with \: in \: one \: hour \: \: minute \: \\ and \: hou \: and \: are \: two \: ties \: perpendicular \: \\ between \: 1p \: and10pm \: there \: are \: 9 \: hours \: \\ so \: it \: must \: be \: 9 \times 2 = 18 \\ in \: mathamaticlly \: but \: logiclly \: \\ ii \: think \: 16times \\ they \: r \: 1.20 \: 1.55 \: 2.25 \: 3 .00\: 3.30 \: 4.05 \: \\ 4.40 \: 5.10 \: 5.45 \: 6.15 \: 6.50 \: 7.20 \: \\ 7.55 \: 8.25 \: 9.00 \: 9.30 \\ thank \: you[/tex]

Answer:

16

Step-by-step explanation:

see answer above

Answer:

Area of 1 Face = slant Height * .5 * Base

Area of 1 Face = 420 * 272

Area of 1 Face = 114,240

Area of 4 Faces = 456,960 square feet

A good pyramid calculator is here: http://www.1728.org/volpyrmd.htm

Step-by-step explanation:

Answer:

y=2x-1

Step-by-step explanation:

Answer:

0.0081031308

Step-by-step explanation:

Answer:

245 is the answer if you do the math easy

Answer:   2/1

Step-by-step explanation:

Answer:

2/1 po

Step-by-step explanation:

Answer:

1. 31

2. 19

3. 35

Step-by-step explanation:

Let smallest number be x ,

the remainder = 5

so, x = 5

= x-5

= 36-5

=31

Answer: C

Step-by-step explanation: