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3 years ago

HELP PLEASE! I will rate 5 stars and give brainliest!!!

Mathematics

1 answer:

larisa86 [58]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

The n th term ( explicit formula ) of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = - 95 and a₃₇ = - 270 , then

a₁ + 11d = - 95 → (1)

a₁ + 36d = - 270 → (2)

Subtract (1) from (2) term by term to eliminate a₁

25d = - 175 ( divide both sides by 25 )

d = - 7

Substitute d = - 7 into (1) and solve for a₁

a₁ + 11(- 7) = - 95

a₁ - 77 = - 95 ( add 77 to both sides )

a₁ = - 18 , thus

$a_{n}$ = - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11

$a_{n}$ = - 7n - 11 ← explicit formula

--------------------------------------------------------------

The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus

$a_{n}$ = $a_{n-1}$ - 7 with a₁ = - 18 ← recursive formula

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Hey you ‼️ yeah I unfortunately need your help again these are hard:(

Helga [31]

Answer:

Step-by-step explanation:

The point of this question is to find out the point where two lines intersect. First we need to get the equation of those lines

Slope of line 1:

(Yb -Ya)/(Xb - Xa) =

(-10 - (-14))/(-1 - (-3)) =

4/2 =

Use that slope to find the Y-intercept of line 1

y = 2x + b

-14 = 2(-3) +b

-14 = -6 + b

-8 = b

Therefore Line 1 is:

y = 2x - 8

Slope of line 2

(11 - 13)/(-1 - (-3)) =

-2/2 =

-1

Y-intercept of line 2

y = -x + b

13 = -(-3) +b

13 = 3 + b

10 = b

Therefore line 2 is

y = -x + 10

Now we have 2 equations to solve for the coordinates x and y

y = 2x - 8

y = -x + 10

Substitute y out in one of the equations

2x - 8 = -x + 10

3x = 18

x = 6

Plug x into one of the equations

y = 2(6) - 8

y = 12 - 8

y = 4

Therefore the solution is:

x=6, y=4

8 0

3 years ago

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Perimeter of a square painting is 216 centimeters. How long is each side?

RUDIKE [14]

Perimeter is the addition of all 4 sides and a square as all the same sides. so every side will be the same. so if you divide 216 by 4 you get 54. you can check this by adding 54+54+54+54=216 or 54x4=216

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3 years ago

According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's population increa

Kazeer [188]

Firstly, the rate of increase of Canton = 80/7720 = 0.010
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7720(1+0.01)^n = 3200(1+0.0375)^n

or

7720x1.01^n = 3200x1.0375^n

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8 0

3 years ago

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(x - 2)(x² + 2x + 4) = 0

Ber [7]

We have to find the value of x from the given equation.

(x - 2)(x² - 2x + 2) = 0 is a quadratic equation, so it will have two values.

Step: Write the equation in simplest form.

(x - 2)(x² - 2x + 1) = 0

Step: Solve the problem by spiltting method.

(x-2)(x² - x -x + 1) = 0
(x - 2)(x²-x - x + 1) = 0
(x - 2) [x(x - 1) -1(x -1)]
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Step: Solve the problem with using algebraic formula.

{x-1](x-1)

Step : We have used a²-b² to solve the problem.

(x-2)(x² - x -x + 1) = 0

(x - 2)(x²-x - x + 1) = 0

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Therefore, the possible factorization is (x - 2)[(x-1)(x-1)].

4 0

3 years ago

How many solutions does this nonlinear system of equations have?

bulgar [2K]

Answer:

Infinate Solutions.

Step-by-step explanation:

6 0

2 years ago

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