Look at the image of the table of values below. Over which interval of x is the average rate of change the largest?

Answer:

first add 5 to 3, giving 8. then multiply that result by 6, giving x=48.

Step-by-step explanation:

isolate x on the left side of the equation

Answer:

x=48

Step-by-step explanation:

x/6-5=3

To find x, working backward,

add 5 to 3 giving 8

multiply that result by 6, giving x=48

Given:

Population of city = [tex]8\times 10^4[/tex]

It is about 20 times as great as the small town.

To find:

The approximate population of the small town.

Solution:

Population of city is about 20 times as great as the small town. It means,

[tex]\text{Population of city}=20\times \text{Population of small town}[/tex]

[tex]\dfrac{\text{Population of city}}{20}=\text{Population of small town}[/tex]

On substituting Population of city = [tex]8\times 10^4[/tex], we get

[tex]\text{Population of small town}=\dfrac{8\times 10^4}{20}[/tex]

[tex]\text{Population of small town}=\dfrac{8\times 10\times 10^3}{20}[/tex]

[tex]\text{Population of small town}=4\times 10^3[/tex]

Therefore, the population of the small town is [tex]4\times 10^3[/tex].

Answer:

The rate of change is constant

Step-by-step explanation:

Day | $Earned

  1   |    $15

  3  |    $45

  6  |    $90

  8  |    $120

Rate of change = 1 day/$15

Answer:

14 percent

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

because 86-72 equals 15

Answer:

x = 13

Step-by-step explanation:

The sum of these two equations has to equal 180 since they are adjacent to each other. Combine the two equations with an addition sign inbetween and set it equal to 180.

5x+6+8x+5 = 180

13x+11 = 180

13x = 169

x = 169 / 13

x = 13

To check your answer plug in 13 for x in each equation, you should get 71 degrees for 5x+6 and 109 degrees for 8x+5. Adding 71 and 109 gives you 180, so the answer is correct.

∠(5x + 6)° and ∠(8x + 5)° are a linear pair, which means their sum will add upto 180° .

[tex] = 5x + 6 + 8x + 5 = 180[/tex]

[tex] = 13x + 6 + 5 = 180[/tex]

[tex] = 13x + 11 = 180[/tex]

[tex] = 13x = 180 - 11[/tex]

[tex] = 13x = 169[/tex]

[tex] = x = \frac{169}{13} [/tex]

[tex]\implies\color{olive} {\: x =\color{hotpink} 13}[/tex]

∠(5x + 6)° :-

[tex] = 5 \times 13 + 6[/tex]

[tex] = 65 + 6[/tex]

[tex]\color{olive}∠(5x + 6)°\color{hotpink} = 71° [/tex]

∠(8x + 5)° :-

[tex] = 8 \times 13 + 5[/tex]

[tex] = 104 + 5[/tex]

[tex]\color{olive}∠(8x + 5)°\color{hotpink} = 109° [/tex]

As the measure of both angles are adding up to form 180° (71+109=180), we can conclude that we have found out the correct value of x .

Therefore , the value of :-

[tex]\boxed{\color{hotpink}x = \bold13}[/tex]

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco

Answer:

true

Step-by-step explanation:

Answer: 92

Step-by-step explanation: 18k + 22p - 10 = 18(2) + 22(3) - 10 = 36 + 66 - 10 = 92

The expression for the total cost is 18k + 22p - 10. The correct option is C.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given:

Paddle board= $22/h

Kayak = $18 / h

and coupon of $10

Thompson travel for 'k' hours in the kayak and 'p' hours on the paddleboard then the expression will be formed as:-

18k + 22p - 10

Here (-10) represents a discount from the coupon of $10.

Therefore, the expression for the total cost is 18k + 22p - 10. The correct option is C.

The complete question is attached with the answer below.

Learn more about expression here:

brainly.com/question/10413253

#SPJ5

Answer: x=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer:

t=5

Step-by-step explanation:

y represents height above the ground.

so when it touches the ground height above the ground =0

y=-16t²+80 t

it will hit the ground when y=0

-16t²+80t=0

-16t(t-5)=0

either t=0 or t-5=0

or t=5

t=0 gives initial value.(rejected)

t=5

6.5 x [tex]10^{11}[/tex]

Answer:

6.5 × 10^-11

make sure its -11 because its a really small decimal. if it wasn't -11 i'd be huge.

Answer:

4.92 ounces

Step-by-step explanation:

Ashley has 5 bags of flour

She has two smaller bags with .75 ounces in each

= 2 × 0.75 ounces

= 1.5 ounces

3 bigger bags which has 1.14 ounces in each.

= 3 × 1.14 ounces

= 3.42 ounces

How much flour does she have in total?

This is calculated as

1.5 ounces + 3.42 ounces

= 4.92 ounces

Therefore she has 4.92 ounces of flour in total.

Answer:

-6.05+(-3.611)=-9.661

Step-by-step explanation:

Answer:

the first line is the answer

Answer:

Step-by-step explanation:

-2(2x+3)≤26

-4x-6≤26

-4x≤32

the tricky part.. b/c the negative sign moves across the inequality sign, ≤ , it is flipped to ≥.  But only when multiplying or dividing.. not for subtraction ..it's confusing , yes.

x≥-8

so X is equal to or greater than 8 ,  :)  does that help?

Answer:

vertex = (- 2, - 4 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = (x + 2)² - 4 ← is in vertex form

with (h, k ) = (- 2, - 4 ) ← vertex

Answer:

look at the screenshot

Step-by-step explanation:

Answer:

BC=9

Step-by-step explanation:

AC=AB+BC

26=9x+8+7x+2

16x+10=26

16x=16

x=1

BC = 7*1+2=7+2=9

Answer:

BC = 9

Step-by-step explanation:

First, you need to find what x is and then plug it into the equation for BC.

You can do this by setting both equations equal to 26, which is the total length.

9x+8+7x+2=26

16x=16

x=1

Now that we know x is 1, plug it into BC:

BC = 7(1)+2

BC = 7+2

BC = 9

Answer:

900 ml of milk

Step-by-step explanation:

the scale is 1:1 so just multiply by 3

Answer:

the location of the two middle values are ; (68th and 69th) terms

Median  = (68th + 69th) / 2

Step-by-step explanation:

Median can be simply referred to as the middle value if the sample number size (n) is an odd number or average of the two middle values in a given data set if the sample number size (n) is an even number

the given data set has to be arranged from the smallest number to the biggest number before taking the middle number as median or taking the average of the two middle number as median if the sample number size (n) is an even number.

Here our n = 136 which is an even  number

So,

Median = Average of the two middle numbers

= [ (n / 2)th term + ((n/2) + 1)th term ] /2

= [ (136/2)th term + ((136/2) + 1 )th term ] /2

Median  = (68th + 69th) / 2

therefore the location of the two middle values are ; (68th and 69th) terms

Answer:

[tex]\frac{21}{2}[/tex]

Step-by-step explanation:

Given

a₁ = 6

a₂ = 12 , then

a₃ = [tex]\frac{6+12}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9 ← an integer

a₄ = [tex]\frac{12+9}{2}[/tex] = [tex]\frac{21}{2}[/tex] ← not an integer

Thus the fourth term is not an integer

Answer:

y = 50 + 10w

Step-by-step explanation:

Since he already has 50 dollars you can add that to the amount PER week. Which is 10w

So that means 50 + 10w would be part of the equation and you can place y to represent the total amount.

y = 50 + 10w

Have a great day! :)

Answer:

6^5 (6 to the 5th power)

Step-by-step explanation:

6 is being mulitiplied 5 times  

Answer: it would be 6 with the tiny 5 in the upper right hand corner.// the exponent is 5

Step-by-step explanation: I am not the best at explanations but i will try. It is because there are 5 sixes.

Answer:

The slope is -4

Step-by-step explanation:

To find the slope in this equation you first need to find the difference of y.

2 + (-4) = -2

-2 + (-4) = -6

so the difference of y is -4

Then you find the difference of x

0 + 1 = 1

1 + 1 = 2

So, the difference of x is 1

slope is rise over run (rise meaning the y-axis and run meaning the x-axis)

so the slope is -4/1

Answer:

Shade 2 of the pieces

Step-by-step explanation:

Answer:16.6667

Step-by-step explanation:

Answer:

19.2

Step-by-step explanation:

Answer:

7(8+x)

Step-by-step explanation:

Answer:

Step-by-step explanation:

7(8+p)