Write the explicit rule.

-21, -51, -81, -111, -141

Answers

Answer 1

Answer:

Answer:

aₙ = - 30n + 9

Step-by-step explanation:

You can tell this is an arithmetic sequence, as there is a difference of 30 between each value. Therefore the equation we will use here is aₙ = a₁ + (n - 1)d.

aₙ = a₁ + (n - 1)d

= - 21 + (n - 1) * - 30

= - 21 - 30n + 30

= - 30n + 9

Your solution would be option d. aₙ = - 30n + 9

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A square has a perimeter of 12 cn. What is its area

Answers

Answer:

The area of the square is 9 inches

Step-by-step explanation:

12/4=3 to get the length of one side of the square.

Multiply it by itselfto find the area.

Answer:

Step-by-step explanation:

Hope it helped

solve for y.try factoring first,if factoring is not possible or difficult use quadratic formula,(y2 2isabovey -10y+23=0)

Answers

$y^2-10y+23=0\n y^2-10y+25-2=0\n (y-5)^2=2\n |y-5|=\sqrt2\n y-5=\sqrt 2 \vee y-5=-\sqrt2\n y=5+\sqrt2 \vee y=5-\sqrt2$

7.7z-2=6.7z-2 the solution is

Answers

I hope this helps you

7,7z-6,7z=-2+2

1z=0

z=0

What is the complete factorization of x2 + 2x − 63? A. (x + 21)(x − 3) B. (x − 9)(x + 7) C. (x + 9)(x − 7) D. (x − 21)(x + 3)

Answers

Answer:

(x + 9)(x - 7)

Step-by-step explanation:

We want to factorize $x^2 + 2x - 63$

We need to find two numbers such that their product is -63 and they add up to +2. The two numbers are +9 and -7:

$x^2 + 9x - 7x - 63\n\n= x(x + 9) -7(x +9)\n\n = (x +9)(x -7)$

The complete factorization is (x + 9)(x - 7)

The factored form of the expression x² + 2x - 63 is (x + 9)(x - 7).

What is the factored form of the expression?

Given the expression in the question:

x² + 2x - 63

To determine the complete factorization of the quadratic expression x² + 2x - 63, we aim to break it down into its simplest factors.

This is achieved through factoring, a process of identifying the expressions that, when multiplied, result in the original quadratic expression.

x² + 2x - 63

Now, find a pair of integers whose sum equals 2,

and whose product equals -63.

We use integers 9 and -7.

Next, rewrite the quadratic expression using these factors:

(x + 9)(x - 7)

Therefore, the complete factorization of x² + 2x - 63 is (x + 9)(x - 7).

Option C) (x + 9)(x - 7) is the correct answer.

Learn more about factorization here: brainly.com/question/20293447

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Im just going to type in all of the questions i need answers with tysm besties
-16 t+3.5

Answers

Answer:

on the x axis start from the point and draw it forward to -16(basically negative side) the draw a line upwards on the y-axis to the line inbetween 3 and 4 (this is on the y axis)

Step-by-step explanation:

HELP WROTH 15 points