A sequence has its first term equal to 4, and each term of the sequence is obtained by adding 2 to the previous term. If f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence? (1 point)

a
f(1) = 2 and f(n) = f(n − 1) + 4; n > 1

b
f(1) = 4 and f(n) = f(n − 1) + 2n; n > 1

c
f(1) = 2 and f(n) = f(n − 1) + 4n; n > 1

d
f(1) = 4 and f(n) = f(n − 1) + 2; n > 1

Answer:

75miles

Step-by-step explanation:

Let A be the location of Asheville, B be the location of Boulder and W be the location of wellspring.

If well spring is located exactly halfway between Asheville and Boulder, then;

AW + WB = AB

If Asheville and Boulder are 2.5 inches apart on a map, then AB = 2.5 inches

The actual distance from wellspring to Boulder is WB

Since W is the midpoint of A and B, then AW = WB. The equation becomes;

WB + WB = AB

2WB = AB

WB = AB.2

WB = 2.5/2

WB = 1.25 inches

Hence the distance from wellspring to Boulder is 1.25inches.

Since  0.5 inches = 15 miles on the map,

1.25inches = x

Cross multiply;

0.5x = 15 * 1.25

0.5x = 18.75

x = 18.75/1.25

x = 75miles

Hence the actual distance from wellspring to Boulder is 75miles

Answer:

d

Step-by-step explanation:

Answer:

f(x) = $25 + $75x.

Domain: positive whole numbers.

Range: f(x) ≥ $25

Step-by-step explanation:

Let x denote the total number of tour member, charging $75 per tour member implies $75x.

Therefore, the tour company charges:

f(x) = $25 + $75x

The Domain of the function, which is the possible value of x, is the set of all positive whole numbers. You can't have negative numbers because no such thing as "negative member," also you can't have fractions because no such thing is "2/3 member (for instance)."

The range, which are all the values of f(x) after putting a particular value from the domain in f(x), is the numbers from 25 and above. That is f(x) ≥ 25. This is because, if there are no tour members, they pay for hiring director only which is $25, if we have one member, the money increases to $100 and so on. These values are from 25 upwards.

Answer:

x=73

Step-by-step explanation:

101+(x-35)+(3x+2)=360

4x+68=360

4x=292

x=73

Answer:

The shopper should but the 6 pcs pack because its cheaper.

Step-by-step explanation:

6-pcs pack = $2.10

hot dogs needed = 48

number of 6 pcs = 48 divided 6 = 8

total cost = $2.10 x 6 = $16.80

8 pcs pack = $3.12

hot dogs needed = 48

number of 8 pcs packs = 48 divided 8= 6

total cost = $3.12 x 6 =$18.72

hope it helps :)

Answer:

use the slope formula: (y2-y1)/(x2-x1) and then plug in the points given

(2-7)/(12-5)

-5/7

the slope is the last one or "D"

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 and 3

Answer:

i cant see pic

Step-by-step explanation:

Answer:     17

Step-by-step explanation:

Answer:

x = 22

Step-by-step explanation:

The combined angle is 90 degrees since it's a right angle

(x + 15) + (3x - 17) = 90

Add your common values

4x - 2 = 90

Add 2 to both sides

4x = 88

Divide each side by 4

x = 22

Answer:

The answer is 45 degree.

Answer: 2,1 4,1 5,7 and yeah im not sure what else to put

poggers hehe

Answer:

Dang!!!! Thats so true!!!

Step-by-step explanation:

Answer:

Awhh

Step-by-step explanation:

Answer: (x=+17)

Step-by-step explanation:

x+35=3x+1

We move all terms to the left:

x+35-(3x+1)=0

We get rid of parentheses

x-3x-1+35=0

We add all the numbers together, and all the variables

-2x+34=0

We move all terms containing x to the left, all other terms to the right

-2x=-34

x=-34/-2

x=+17

Answer:

400 pages in total

Step-by-step explanation:

60 = 15% (2)

120/3 = 30%/3

40= 10%(10)

400=100%

I'm bad at explaining

Answer:

speed = 0.6666667 miles per hour

Step-by-step explanation:

You can find the average speed of an object if you know the distance travelled and the time it took. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.

Answer: 28%

21 is 28% of 75. 28%

Convert fraction (ratio) 21 / 75 Answer: 28%.

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

If 1/4 of the number is 40, then the number will be 160

Answer: J 36, Total: 60 animals

Step-by-step explanation:

24/36 divided by 12=2/3

Total:24+36=60

The average rate of change of the function f(x) over the interval [tex][2, 6][/tex] is 2.

Important information:

The average rate of change of the function f(x) over the given interval [tex][a,b][/tex] is:

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

Using the above formula, we get

[tex]m=\dfrac{f(6)-f(2)}{6-2}[/tex]

[tex]m=\dfrac{(2(6)+8)-(2(2)+8)}{4}[/tex]

[tex]m=\dfrac{12+8-4-8}{4}[/tex]

[tex]m=\dfrac{8}{4}[/tex]

[tex]m=2[/tex]

Thus, the average rate of change of the function f(x) over the interval [tex][2, 6][/tex] is 2.

Find out more about 'average rate of change' here:

https://brainly.com/question/8061202

Answer:

C. a=12ft, b=12ft

Step-by-step explanation:

This is a 45*-45*-90* triangle

"a" and "b" are the same

and the hypotenuse (which is 12 square roots of 2) is square root of 2 times as long as each leg.

so the answer must be:

a = 12ft, b = 12ft

Answer:

The answer 7.48

Step-by-step explanation:

I hope this helped

Answer:

A. E = 20H

B. $380

Step-by-step explanation:

E = 20(19) since she worked 19 hrs. This equals 380

Answer:

D. -3z+2

Step-by-step explanation:

Steps:

Remove parentheses: (a) = a

= 5z+9-(8z+7)

....

Simplify

5z+9-8z-7: -3z+2

Answer:

-3z +2

Step-by-step explanation:

A expression in terms of z is given to us and we need to simplify out the given expression . The give an expression to us is ,

[tex]\implies (5z + 9 ) - ( 8z + 7 )[/tex]

Recall that , + × - = - . We have ,

[tex]\implies 5z + 9 - 8z - 7 [/tex]

Combining the like terms and simplifying ,

[tex]\implies 5z - 8z - 7 +9 \\\\\implies \underline{\underline{ -3z +2 }}[/tex]

Hence the last option is correct .

Answer:

-4

Step-by-step explanation:

The graph shows a -4 decrease in the y axis when x is increased by 1

Answer:

0

Step-by-step explanation:

I will assume you want to find the slope of the line. The formula for slope is [ y2-y1/x2-x1 ]. We can use the points (-6, 4) and (-4, -4) to solve.

-4-4/-4-(-6)

0/2

0

Best of Luck!

Answer:

9

Step-by-step explanation:

the decimal always goes between the numbers that arent 0s

Answer:

it’s 9 because i don’t know I just saw someone else say that

Step-by-step explanation:

Answer: hope it helps

Step-by-step explanation:The balloon will not reach 2,500 feet after 4 minutes.

Step-by-step explanation:

The equation of the line in the point-slope form is

A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute, then the slope is

After  minutes, the balloon is at an altitude of  feet. This means, the line passes through the point (1.5, 2,150).

Substitute the slope and point coordinates into the equation:

We know that after 3 minutes, the balloon is at an altitude of 2,330 feet. Check this:

Now, find the height after 4 minutes:

Thus, the balloon will reach only 2,450 feet after 4 minutes.

Answer: the second option

Step-by-step explanation:

look at on a coordinate plane going left is decreasing ( negative) and he is already at 8,-5 so you add 5 to 8 to get 13 as the first coordinate add 11 to -5 and you'll get 6 therefore the coordinates are (13,6)