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3 years ago

11

Complete the recursive formula of the arithmetic sequence -15, -11, -7...

2 answers:

Olin [163]3 years ago

6 0

Answer:

c(n) = c(n-1) + 4

Step-by-step explanation:

Each new term is 4 greater than the previous.

Zinaida [17]3 years ago

3 0

Answer:

n= -15

Step-by-step explanation:

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-2+4(-x+4)=10 using distributive property and collecting like terms

stich3 [128]

Answer:

<h2>x = 1</h2>

Step-by-step explanation:

$-2+4(-x+4)=10\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\-2+(4)(-x)+(4)(4)=10\\\\-2-4x+16=10\qquad\text{combine like terms}\\\\-4x+(-2+16)=10\\\\-4x+14=10\qquad\text{subtract 14 from both sides}\\\\-4x+14-14=10-14\\\\-4x=-4\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4x}{-4}=\dfrac{-4}{-4}\\\\x=1$

4 0

2 years ago

Aaron wants to mulch his garden. His garden is x^2+18x+81 ft^2 One bag of mulch covers x^2-81 ft^2 . Divide the expressions and

blsea [12.9K]

Answer:

Step-by-step explanation:

Given

Garden: $x^2+18x+81$

One Bag: $x^2 - 81$

Requires

Determine the number of bags to cover the whole garden

This is calculated as thus;

$Bags = \frac{x^2+18x+81}{x^2 - 81}$

Expand the numerator

$Bags = \frac{x^2+9x+9x+81}{x^2 - 81}$

$Bags = \frac{x(x+9)+9(x+9)}{x^2 - 81}$

$Bags = \frac{(x+9)(x+9)}{x^2 - 81}$

Express 81 as 9²

$Bags = \frac{(x+9)(x+9)}{x^2 - 9\²}$

Evaluate as difference of two squares

$Bags = \frac{(x+9)(x+9)}{(x - 9)(x+9)}$

$Bags = \frac{(x+9)}{(x - 9)}$

Hence, the number of bags is $Bags = \frac{(x+9)}{(x - 9)}$

3 0

3 years ago

Y + x = ax<br> make x the subject of the formula

Airida [17]

Answer:

y + x = ax

y=ax-x

y=x(a-1)

x=y/(a-1)

7 0

2 years ago

A rectangle has a length of 9 inches and a width of 12 inches. This rectangle is dilated by a scale factor of 3.5 to create a ne

Nat2105 [25]

Divide both length and width by the dialtion factor and that will be the dimensions of the new rectangle. 2.5714in by 3.4286in. Round as needed

8 0

3 years ago

Read 2 more answers

KatRina [158]

Answer:

$65/hour

Step-by-step explanation:

Let C(h) represent the total amount payable to the plumber. Then:

C(h) = $75 + (rate)(2 hr) = $205. Solve for the "fixed hourly rate."

Subtracting $75 from both sides, we get:

(rate)(2 hr) = $130.

Dividing both sides by (2 hr) results in (rate) = $65/hour

7 0

3 years ago