Write an explicit formula for a_nth term of the sequence 18, 6, 2, ...

Answer:

[tex]y=\frac{2}{5}x+2[/tex]

Step-by-step explanation:

(x1, y1) = (5, 4)

(x2, y2) = (0, 2)

First, find the slope. The slope formula is:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

I marked the 2 points above in that form, so you can plug those in here:

[tex]m=\frac{2-4}{0-5}\\\\m=\frac{-2}{-5}\\\\m=\frac{2}{5}[/tex]

The slope of this line is 2/5. Next, you can use that slope and whichever known point you want to find the y-intercept. Slope-intercept form is:

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

Plug in the slope we found for m and whichever point you want for (x, y):

[tex]2=\frac{2}{5}0+b[/tex]

Now, solve for b:

[tex]2=0+b\\b=2[/tex]

In this particular case, there wasn't much to be done. We already had a point at x = 0, and that is already our y-intercept. For similar problems though, that's how you would do it.

Finally, with both the slope and the y-intercept, you can write the equation:

[tex]y=\frac{2}{5}x+2[/tex]

Answer:

5.8%

Step-by-step explanation:

to work out percentage increase:

(new value - original value) ÷ original value and times it all by 100

((31.75-30) ÷ 30) × 100

=5.8% (1dp)

Answer

588 is the exact answer. Which is about 590 or 600.

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the markings p and q are opposite equal sides. That means that p = q

Since = 24 then q must also be 24

r is an exterior angle. It is equal to the two remote interior angles which in this case are p and q

r = p + q   But p and q are both  equal

r = 24 + 24

r = 48

From the markings r and s are opposite equal sides. That means that r and s are equal.

s = r

s = 48

t is another exterior angle. It is = to the sum of the two interior angles

so t = r + S

t = 48 + 48

t = 96

If y = ax + 2a², then its derivative is dy/dx = a. Substitute y and dy/dx into the given equation and check if it results in an identity:

2 (dy/dx)² + x dy/dx - y = 0

2a² + ax - (ax + 2a²) = 0

0 = 0

This is of course true, so y = ax + 2a² is indeed a solution to the given equation.

[tex]\text{If you want the domain of this function then it is}~x\leq 0 ~ \text{or} ~ (-\infty ,0][/tex]

Answer:

$750

Step-by-step explanation:

simple interest equation is:

I (interest) = P (principal) x R (interest rate, as a decimal) x T (time, in years)

I = 7500 x .02 x 5

I = 750

Answer: (11x+12)(11x−12)

Step-by-step explanation: (11x+12)(11x−12)                                                       (11x+12)(11x+−12)                                                                                                       (11x)(11x)+(11x)(−12)+(12)(11x)+(12)(−12)                                           121x2−132x+132x−144                                                                                           121x^2-144

Answer:

Triangle 20, 30, and 15 will create a triangle

Step-by-step explanation:

In order for side lengths to make a triangle, the sum of the two shortest sides must be greater than the longest side

5+3 < 9 so it does not work

15+20>30 so it does work

Answer:

24 screeches = 20 meows.

Step-by-step explanation:

Calculate purrs:

12/3 = 4

4*2= 8

Use purrs to calculate screeches:

Answer:

4000 sqft

Step-by-step explanation:

you multiply 5*10 which equals 50 then 8*10 which equals 80 then to find area you multiply 50*80 which equals 4000 sqft

Answer:

D

Step-by-step explanation:

hard to explain but when you rotate 180, you can imagine that a straight line with the center of rotation as the midpoint can be drawn between the image and preimage. you want a mapped to c and you want d mapped to b. having it rotate 180 with the center of rotation being the center of the parallelogram allows you to make those imaginary lines between a and c and d and b. hope this helps

Julio will receive $ 128 on the tenth day.

Given that Julio won a contest, and his cash prize is given to him in the following way: On the first day, Julio will receive $ 0.25, and for each successive day, the amount of money Julio receives doubles, to determine an explicit formula to represent the amount of money, f (d), in dollars, Julio receives d days after the first day, and determine how much money will Julio receive on the tenth day, the following calculations must be performed:

Therefore, Julio will receive $ 128 on the tenth day.

Learn more about maths in https://brainly.com/question/15983813

Answer:

The answer is 3.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

51.7%

Step-by-step explanation:

Because percent is out of 100, you multiply 0.517 by 100 and get 51.7, which is your percent.

Answer:

-22,(-2)2,2-2,20

Step-by-step explanation:

(-2)2=-4

2-2=0

-22,-4,0,20

Answer:

-22,(-2)2,2-2,-20

Step-by-step explanation:

Answer:

The answer is 0.6

Step-by-step explanation:

Recap: There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall? Drag and drop the appropriate symbol to correctly complete the inequality. (p [ ] 835

> < ≤ ≥

Answer: P≥835

Answer: Your Answer Is p≥835 i took the quiz

Step-by-step explanation:

Answer:

y+5=-3(x-2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(10-(-5))/(-3-2)

m=(10+5)/-5

m=15/-5

m=-3

y-y1=m(x-x1)

y-(-5)=-3(x-2)

y+5=-3(x-2)

Answer:

Value of [tex]x=-12[/tex]

Step-by-step explanation:

The given triangle is isosceles

Here

[tex]m\angle2+m\angle2+36^0=180^0\\\\2m\angle2=144^0\\\\m\angle2=72^0\\\\x+84=72\\\\x=72-84\\\\=-12[/tex]

[tex]m∠2+m∠2+36⁰= 180°[/tex]

[tex]2m∠2 = 144°[/tex]

[tex]m∠2 = 72⁰[/tex]

[tex]x +84 = 72[/tex]

[tex]x = 72 - 84[/tex]

[tex]x= -12[/tex]

Answer:

18225

Step-by-step explanation:

16200*0.025*5=2025

2025+16200 = 18225

Step-by-step explanation:

3(7x-9)-19x = -15

21x-27-19x = -15

2x-27 = -15

2x = -15+27

2x = 12

x = 6

prove x = 6

Substitute x=6 into the equation.

3(7(6)-9)-19(6) = -15

3(42-9)-114 = -15

3(33)-114 = -15

99-114 = -15

-15 = -15 True✓