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3 years ago

The pattern of numbers below is an arithmetic sequence:

2 answers:

6 0

The correct answer is letter C. The common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14.

sertanlavr [38]3 years ago

4 0

The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 44, 54, ... Which statement describes the recursive function used to generate the sequence?

A. The common difference is 1, so the function is f(n + 1) = f(n) + 1 where f(1) = 14.
B. The common difference is 4, so the function is f(n + 1) = f(n) + 4 where f(1) = 10.
C. The common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14.
D. The common difference is 14, so the function is f(n + 1) = f(n) + 14 where f(1) = 10.

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X(x+3) + 34 = (x +5)(x+2)

My name is Ann [436]

X(x + 3) + 34 = (x + 5)(x + 2)

First, expand to remove parentheses.
$x^{2} + 3x + 34 = x^{2} + 2x + 5x + 10$
Second, add '2x + 5x' to get '7x'.
$x^{2} + 3x + 34 = x^{2} + 7x + 10$
Third, cancel out ' $x^{2}$ ' on both sides.
$3x + 34 = 7x + 10$
Fourth, subtract '3x' from both sides.
$34 = 7x + 10 - 3x$
Fifth, subtract '7x - 3x' to get '4x'.
$34 = 4x + 10$
Sixth, subtract '10' from both sides.
$34 - 10 = 4x$
Seventh, subtract '34 - 10' to get '24'.
$24 = 4x$
Eighth, divide both sides by '4', leaving the 'x' by itself.
$\frac{24}{4} =x$
Ninth, since '24 ÷ 4 = 6', simplify the fraction to '6'.
$6 = x$
Tenth, switch your sides to get the answer.
$x = 6$

Answer: x = 6

4 0

3 years ago

Estimate the quotients 9.13 divided by 23

djyliett [7]

Answer:

0.4

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

I don’t understand none of this math

Ivan

Answer:

Step-by-step explanation:

(a^3 - b^3)/5

Let a =2 and b = -3

(2^3 - (-3)^3)/5

Exponents inside the parentheses

(8 - -27)/5

Subtracting a negative is like adding

(8+27)/5

Finish adding inside the parentheses

35/5

Divide

4 0

3 years ago

Read 2 more answers

PLEASE HELP

lisabon 2012 [21]

Step-by-step explanation:

The figure below shows a portion of the graph of the function $j\left(x\right) \ = \ 4^{x-2}$ , hence the average rate of change (slope of the blue line) between the $x$ and $x+h$ is

$\text{Average rate of change} \ = \ \displaystyle\frac{\Delta y}{\Delta x} \\ \\ \rule{3.7cm}{0cm} = \dsiplaystyle\frac{f\left(x+h\right) \ - \ f\left(x\right)}{\left(x \ + \ h \right) \ - \ x} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{f\left(x + h\right) \ - \ f\left(x\right)}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{4^{x+h-2} \ - \ 4^{x-2}}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{4^{x-2+h} \ - \ 4^{x-2}}{h}$

$\\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{\left(4^{x-2}\right)\left(4^{h}\right) \ - \ 4^{x-2}}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{\left(4^{x-2}\right)\left(4^{h} \ - \ 1 \right)}{h}$

7 0

1 year ago

Twenty students from a soccer team want to attend a match. The ticket price is $25 for each student, and the transportation and

azamat

Answer:

525 jerseys

Step-by-step explanation:

you multiply the 25$ and $500 ($25 x 20)+($500 x 20) by the number of students, and then add them together. after that, you multiply it by the $20 ($10,500/$20 = 525) for the jerseys to get 525 jerseys

5 0

2 years ago